Azeghap-Simo, Ibrahim; Fotsa-Ngaffo, Fernande; Kenfack-Jiotsa, Aurélien Dynamics of cubic-quintic nonlinear \(\mathcal{PT}\)-symmetry mechanical oscillators. (English) Zbl 07695169 Physica D 449, Article ID 133750, 12 p. (2023). MSC: 70K20 PDFBibTeX XMLCite \textit{I. Azeghap-Simo} et al., Physica D 449, Article ID 133750, 12 p. (2023; Zbl 07695169) Full Text: DOI
Bhatia, Sanjana; Goyal, Amit; Jana, Soumendu; Kumar, C. N. Stationary hypergeometric solitons and their stability in a Bose-Einstein condensate with \(\mathcal{PT}\)-symmetric potential. (English) Zbl 1521.81062 Phys. Lett., A 469, Article ID 128751, 7 p. (2023). MSC: 81Q05 35Q55 81V73 82C26 70H05 58J53 PDFBibTeX XMLCite \textit{S. Bhatia} et al., Phys. Lett., A 469, Article ID 128751, 7 p. (2023; Zbl 1521.81062) Full Text: DOI
Šindelka, Milan; Stránský, Pavel; Cejnar, Pavel Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians. (English) Zbl 1521.81081 J. Phys. A, Math. Theor. 56, No. 14, Article ID 145201, 27 p. (2023). MSC: 81Q12 81Q93 37C50 70H05 35A35 PDFBibTeX XMLCite \textit{M. Šindelka} et al., J. Phys. A, Math. Theor. 56, No. 14, Article ID 145201, 27 p. (2023; Zbl 1521.81081) Full Text: DOI arXiv
Moutal, Nicolas; Grebenkov, Denis S. Spectral branch points of the Bloch-Torrey operator. (English) Zbl 1520.81065 J. Phys. A, Math. Theor. 55, No. 45, Article ID 455201, 26 p. (2022). MSC: 81Q15 81Q12 81Q10 PDFBibTeX XMLCite \textit{N. Moutal} and \textit{D. S. Grebenkov}, J. Phys. A, Math. Theor. 55, No. 45, Article ID 455201, 26 p. (2022; Zbl 1520.81065) Full Text: DOI arXiv
Wu, Zhenkun; Yang, Kaibo; Ren, Xijun; Li, Peng; Wen, Feng; Gu, Yuzong; Guo, Lijun Conical diffraction modulation in fractional dimensions with a \(\mathcal{PT}\)-symmetric potential. (English) Zbl 1508.35204 Chaos Solitons Fractals 164, Article ID 112631, 8 p. (2022). MSC: 35R11 26A33 35Q55 78A45 PDFBibTeX XMLCite \textit{Z. Wu} et al., Chaos Solitons Fractals 164, Article ID 112631, 8 p. (2022; Zbl 1508.35204) Full Text: DOI
Wu, Zhenkun; Yang, Kaibo; Zhang, Yagang; Ren, Xijun; Wen, Feng; Gu, Yuzong; Guo, Lijun Nonlinear conical diffraction in fractional dimensions with a \(\mathcal{PT}\)-symmetric optical lattice. (English) Zbl 1505.78036 Chaos Solitons Fractals 158, Article ID 112010, 7 p. (2022). MSC: 78A60 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Wu} et al., Chaos Solitons Fractals 158, Article ID 112010, 7 p. (2022; Zbl 1505.78036) Full Text: DOI
Song, Jin; Yan, Zhenya Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities. (English) Zbl 1516.81207 Physica D 442, Article ID 133527, 15 p. (2022). MSC: 81V70 35Q55 35C08 81R40 81U10 PDFBibTeX XMLCite \textit{J. Song} and \textit{Z. Yan}, Physica D 442, Article ID 133527, 15 p. (2022; Zbl 1516.81207) Full Text: DOI
Kaprálová-Žďánská, Petra Ruth; Šindelka, Milan; Moiseyev, Nimrod Coalescence of two branch points in complex time marks the end of rapid adiabatic passage and the start of Rabi oscillations. (English) Zbl 1507.82033 J. Phys. A, Math. Theor. 55, No. 28, Article ID 284001, 28 p. (2022). MSC: 82B27 82C27 PDFBibTeX XMLCite \textit{P. R. Kaprálová-Žďánská} et al., J. Phys. A, Math. Theor. 55, No. 28, Article ID 284001, 28 p. (2022; Zbl 1507.82033) Full Text: DOI arXiv
Kumari, Asmita; Sen, Ujjwal Local preservation of no-signaling in multiparty \(PT\)-symmetric evolutions. (English) Zbl 1505.81018 J. Phys. A, Math. Theor. 55, No. 18, Article ID 185302, 16 p. (2022). MSC: 81P40 81Q12 PDFBibTeX XMLCite \textit{A. Kumari} and \textit{U. Sen}, J. Phys. A, Math. Theor. 55, No. 18, Article ID 185302, 16 p. (2022; Zbl 1505.81018) Full Text: DOI arXiv
Kaprálová-Žďánská, Petra Ruth Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space. (English) Zbl 1500.81033 Ann. Phys. 443, Article ID 168939, 81 p. (2022). MSC: 81Q10 11G15 35B34 60J35 41A58 70H11 PDFBibTeX XMLCite \textit{P. R. Kaprálová-Žďánská}, Ann. Phys. 443, Article ID 168939, 81 p. (2022; Zbl 1500.81033) Full Text: DOI arXiv
Liu, Xi; Zhong, Chongkuo; Zhang, Xiaoxiao; Wang, Chunfang Localization of the light in two-dimensional PT-symmetric optical lattice. (English) Zbl 1486.81115 Phys. Lett., A 430, Article ID 127963, 5 p. (2022). MSC: 81Q35 22E70 81R40 81V80 16P50 81-10 PDFBibTeX XMLCite \textit{X. Liu} et al., Phys. Lett., A 430, Article ID 127963, 5 p. (2022; Zbl 1486.81115) Full Text: DOI
Gong, Ling-Pu; Zhang, Rui; Chen, Xing-Sen; Tan, Yin; Zhang, Yu-Yu Robust photon transmission in nonlinear parity-time-symmetric cavities. (English) Zbl 07767830 Ann. Phys., Berlin 533, No. 5, Article ID 2000626, 6 p. (2021). MSC: 81-XX PDFBibTeX XMLCite \textit{L.-P. Gong} et al., Ann. Phys., Berlin 533, No. 5, Article ID 2000626, 6 p. (2021; Zbl 07767830) Full Text: DOI arXiv
Kam, Chon-Fai; Chen, Yang Non-adiabatic transitions in parabolic and super-parabolic \(\mathcal{PT}\)-symmetric non-Hermitian systems in 1D optical waveguides. (English) Zbl 07766315 Ann. Phys., Berlin 533, No. 2, Article ID 2000349, 13 p. (2021). MSC: 81-XX PDFBibTeX XMLCite \textit{C.-F. Kam} and \textit{Y. Chen}, Ann. Phys., Berlin 533, No. 2, Article ID 2000349, 13 p. (2021; Zbl 07766315) Full Text: DOI
Zhang, Zhi-Xu; Huang, Rong; Qi, Lu; Xing, Yan; Zhang, Zhan-Jun; Wang, Hong-Fu Topological phase transition and eigenstates localization in a generalized non-Hermitian Su-Schrieffer-Heeger model. (English) Zbl 07766304 Ann. Phys., Berlin 533, No. 1, Article ID 2000272, 6 p. (2021). MSC: 81-XX PDFBibTeX XMLCite \textit{Z.-X. Zhang} et al., Ann. Phys., Berlin 533, No. 1, Article ID 2000272, 6 p. (2021; Zbl 07766304) Full Text: DOI
Gargano, Francesco Population dynamics based on ladder bosonic operators. (English) Zbl 1481.92103 Appl. Math. Modelling 96, 39-52 (2021). MSC: 92D25 37K10 81P16 PDFBibTeX XMLCite \textit{F. Gargano}, Appl. Math. Modelling 96, 39--52 (2021; Zbl 1481.92103) Full Text: DOI
Kulkarni, Shailesh; Pathak, Rajeev K. “Striped” rectangular rigid box with Hermitian and non-Hermitian \(\mathcal{PT}\) symmetric potentials. (English) Zbl 1480.81046 J. Math. Phys. 62, No. 10, Article ID 102102, 13 p. (2021). MSC: 81Q10 81Q12 81R05 37C83 47B25 47B93 81R40 PDFBibTeX XMLCite \textit{S. Kulkarni} and \textit{R. K. Pathak}, J. Math. Phys. 62, No. 10, Article ID 102102, 13 p. (2021; Zbl 1480.81046) Full Text: DOI arXiv
Chakraborty, Arindam Understanding partial \(\mathcal{PT}\) symmetry as weighted composition conjugation in reproducing kernel Hilbert space: an application to non-Hermitian Bose-Hubbard type Hamiltonian in Fock space. (English) Zbl 1528.81134 Int. J. Theor. Phys. 60, No. 9, 3689-3697 (2021). MSC: 81Q12 81Q10 PDFBibTeX XMLCite \textit{A. Chakraborty}, Int. J. Theor. Phys. 60, No. 9, 3689--3697 (2021; Zbl 1528.81134) Full Text: DOI arXiv
Bi, Shihao; He, Yan; Li, Peng Ring-frustrated non-Hermitian \(XY\) model. (English) Zbl 07409496 Phys. Lett., A 395, Article ID 127208, 5 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{S. Bi} et al., Phys. Lett., A 395, Article ID 127208, 5 p. (2021; Zbl 07409496) Full Text: DOI arXiv
Chakraborty, Arindam A new boson realization of fusion polynomial algebras in non-Hermitian quantum mechanics: \(\gamma\)-deformed \(\mathfrak{su}(2)\) generators, \(\mathcal{PT}\)-symmetry in Fock space and Higgs algebra. (English) Zbl 1519.81287 J. Phys. A, Math. Theor. 53, No. 48, Article ID 485202, 25 p. (2020). MSC: 81R10 81Q12 81R05 81Q10 PDFBibTeX XMLCite \textit{A. Chakraborty}, J. Phys. A, Math. Theor. 53, No. 48, Article ID 485202, 25 p. (2020; Zbl 1519.81287) Full Text: DOI
Charalampidis, Efstathios G.; Dawson, John F.; Cooper, Fred; Khare, Avinash; Saxena, Avadh Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, \(\mathcal{PT}\)- and supersymmetric potential. (English) Zbl 1519.81179 J. Phys. A, Math. Theor. 53, No. 45, Article ID 455702, 29 p. (2020). MSC: 81Q05 35Q55 81Q12 81Q60 PDFBibTeX XMLCite \textit{E. G. Charalampidis} et al., J. Phys. A, Math. Theor. 53, No. 45, Article ID 455702, 29 p. (2020; Zbl 1519.81179) Full Text: DOI arXiv
Parkavi, J. Ramya; Chandrasekar, V. K. Unbreakable \(\mathcal{PT}\)-symmetry and its consequence in a \(\mathcal{PT}\)-symmetric dimer. (English) Zbl 1514.81169 J. Phys. A, Math. Theor. 53, No. 19, Article ID 195701, 15 p. (2020). MSC: 81R40 82B20 82D77 PDFBibTeX XMLCite \textit{J. R. Parkavi} and \textit{V. K. Chandrasekar}, J. Phys. A, Math. Theor. 53, No. 19, Article ID 195701, 15 p. (2020; Zbl 1514.81169) Full Text: DOI
Pi, Jinghui; Sun, NingNing; Lü, Rong \(\mathcal{P}\mathcal{T}\)-symmetry Berry phases, topology and \(\mathcal{P}\mathcal{T}\)-symmetry breaking. (English) Zbl 1451.81252 Commun. Theor. Phys. 72, No. 4, Article ID 045102, 7 p. (2020). MSC: 81Q70 81R40 PDFBibTeX XMLCite \textit{J. Pi} et al., Commun. Theor. Phys. 72, No. 4, Article ID 045102, 7 p. (2020; Zbl 1451.81252) Full Text: DOI
Zhou, Zheng; Zhu, Bo; Wang, Haibin; Zhong, Honghua Stability and collisions of quantum droplets in \(\mathcal{PT}\)-symmetric dual-core couplers. (English) Zbl 1453.81023 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105424, 12 p. (2020). MSC: 81Q05 35Q55 81V73 81R05 81Q12 78A37 82C26 81U05 35C08 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105424, 12 p. (2020; Zbl 1453.81023) Full Text: DOI arXiv
Bagchi, Bijan; Yang, Jianke New families of non-parity-time-symmetric complex potentials with all-real spectra. (English) Zbl 1452.81112 J. Math. Phys. 61, No. 6, 063506, 8 p. (2020). MSC: 81Q12 35P05 81Q60 PDFBibTeX XMLCite \textit{B. Bagchi} and \textit{J. Yang}, J. Math. Phys. 61, No. 6, 063506, 8 p. (2020; Zbl 1452.81112) Full Text: DOI arXiv
Li, Pengfei; Malomed, Boris A.; Mihalache, Dumitru Symmetry breaking of spatial Kerr solitons in fractional dimension. (English) Zbl 1434.35008 Chaos Solitons Fractals 132, Article ID 109602, 9 p. (2020). MSC: 35C08 35Q55 PDFBibTeX XMLCite \textit{P. Li} et al., Chaos Solitons Fractals 132, Article ID 109602, 9 p. (2020; Zbl 1434.35008) Full Text: DOI arXiv
Zhang, Ruili; Qin, Hong; Xiao, Jianyuan PT-symmetry entails pseudo-hermiticity regardless of diagonalizability. (English) Zbl 1431.81060 J. Math. Phys. 61, No. 1, 012101, 6 p. (2020). MSC: 81Q12 81Q20 81R05 PDFBibTeX XMLCite \textit{R. Zhang} et al., J. Math. Phys. 61, No. 1, 012101, 6 p. (2020; Zbl 1431.81060) Full Text: DOI arXiv
Tang, Yan; Yang, Xiangbo; Zheng, Jian; Tang, Xiaopeng; Wu, Huizhou; Deng, Dongmei; Liu, Hongzhan Singular characteristics of optical Thue-Morse multilayers composed of PT-symmetric elements. (English) Zbl 07761411 Ann. Phys., Berlin 531, No. 12, Article ID 1900275, 11 p. (2019). MSC: 81-XX PDFBibTeX XMLCite \textit{Y. Tang} et al., Ann. Phys., Berlin 531, No. 12, Article ID 1900275, 11 p. (2019; Zbl 07761411) Full Text: DOI
Wu, Huizhou; Yang, Xiangbo; Tang, Yan; Tang, Xiaopeng; Deng, Dongmei; Liu, Hongzhan; Wei, Zhongchao The scattering problem in \(PT\)-Symmetric periodic structures of 1D two-material waveguide networks. (English) Zbl 07760939 Ann. Phys., Berlin 531, No. 9, Article ID 1900120, 7 p. (2019). MSC: 81-XX PDFBibTeX XMLCite \textit{H. Wu} et al., Ann. Phys., Berlin 531, No. 9, Article ID 1900120, 7 p. (2019; Zbl 07760939) Full Text: DOI
Longhi, Stefano Loschmidt echo and fidelity decay near an exceptional point. (English) Zbl 07760928 Ann. Phys., Berlin 531, No. 9, Article ID 1900054, 10 p. (2019). MSC: 81-XX PDFBibTeX XMLCite \textit{S. Longhi}, Ann. Phys., Berlin 531, No. 9, Article ID 1900054, 10 p. (2019; Zbl 07760928) Full Text: DOI arXiv
Dey, Sanjib; Raj, Aswathy; Goyal, Sandeep K. Controlling decoherence via \(\mathcal{PT}\)-symmetric non-Hermitian open quantum systems. (English) Zbl 1477.81053 Phys. Lett., A 383, No. 30, Article ID 125931, 6 p. (2019). MSC: 81S22 81P40 81R05 81Q12 81V80 81V73 PDFBibTeX XMLCite \textit{S. Dey} et al., Phys. Lett., A 383, No. 30, Article ID 125931, 6 p. (2019; Zbl 1477.81053) Full Text: DOI arXiv
Fan, Zhiwei; Malomed, Boris A. Dynamical control of solitons in a parity-time-symmetric coupler by periodic management. (English) Zbl 1510.78048 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104906, 10 p. (2019). MSC: 78A60 78A50 35C08 35B06 35Q55 PDFBibTeX XMLCite \textit{Z. Fan} and \textit{B. A. Malomed}, Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104906, 10 p. (2019; Zbl 1510.78048) Full Text: DOI arXiv
Neufeld, Ofer; Sharabi, Yonatan; Ben-Asher, Anael; Moiseyev, Nimrod Calculating bound states resonances and scattering amplitudes for arbitrary 1D potentials with piecewise parabolas. (English) Zbl 1411.81033 J. Phys. A, Math. Theor. 51, No. 47, Article ID 475301, 13 p. (2018). MSC: 81-08 81Q05 81Q12 35B34 35P05 81U05 35P25 78A50 PDFBibTeX XMLCite \textit{O. Neufeld} et al., J. Phys. A, Math. Theor. 51, No. 47, Article ID 475301, 13 p. (2018; Zbl 1411.81033) Full Text: DOI
Li, Pengfei; Mihalache, Dumitru; Malomed, Boris A. Optical solitons in media with focusing and defocusing saturable nonlinearity and a parity-time-symmetric external potential. (English) Zbl 1404.78022 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170378, 10 p. (2018). MSC: 78A40 78A60 78A25 PDFBibTeX XMLCite \textit{P. Li} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170378, 10 p. (2018; Zbl 1404.78022) Full Text: DOI arXiv
Chen, Zhaopin; Li, Yongyao; Malomed, Boris A. \(\mathcal{PT}\)-symmetric and antisymmetric nonlinear states in a split potential box. (English) Zbl 1404.81123 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170369, 16 p. (2018). MSC: 81Q80 81T60 PDFBibTeX XMLCite \textit{Z. Chen} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170369, 16 p. (2018; Zbl 1404.81123) Full Text: DOI arXiv
Mathea, Tina; Dast, Dennis; Dizdarevic, Daniel; Cartarius, Holger; Main, Jörg; Wunner, Günter Using mixed many-body particle states to generate exact \(\mathcal{PT}\)-symmetry in a time-dependent four-well system. (English) Zbl 1397.81112 J. Phys. A, Math. Theor. 51, No. 31, Article ID 315303, 16 p. (2018). MSC: 81S22 81V70 81R05 82C26 PDFBibTeX XMLCite \textit{T. Mathea} et al., J. Phys. A, Math. Theor. 51, No. 31, Article ID 315303, 16 p. (2018; Zbl 1397.81112) Full Text: DOI arXiv
Manikandan, K.; Vishnu Priya, N.; Senthilvelan, M.; Sankaranarayanan, R. Deformation of dark solitons in a \(\mathcal{P} \mathcal{T}\)-invariant variable coefficients nonlocal nonlinear Schrödinger equation. (English) Zbl 1396.35057 Chaos 28, No. 8, 083103, 12 p. (2018). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{K. Manikandan} et al., Chaos 28, No. 8, 083103, 12 p. (2018; Zbl 1396.35057) Full Text: DOI
Mattei, Ornella; Milton, Graeme W. Field patterns without blow up. (English) Zbl 1516.83007 New J. Phys. 19, No. 9, Article ID 093022, 16 p. (2017). MSC: 83C10 PDFBibTeX XMLCite \textit{O. Mattei} and \textit{G. W. Milton}, New J. Phys. 19, No. 9, Article ID 093022, 16 p. (2017; Zbl 1516.83007) Full Text: DOI arXiv
Walasik, Wiktor; Ma, Chicheng; Litchinitser, Natalia M. Dissimilar directional couplers showing \(\mathscr{PT}\)-symmetric-like behavior. (English) Zbl 1516.81082 New J. Phys. 19, No. 7, Article ID 075002, 8 p. (2017). MSC: 81Q10 81Q12 81Q60 PDFBibTeX XMLCite \textit{W. Walasik} et al., New J. Phys. 19, No. 7, Article ID 075002, 8 p. (2017; Zbl 1516.81082) Full Text: DOI
Boudjemâa, Abdelâali Bose polaronic soliton-molecule and vector solitons in \(\mathcal{PT}\)-symmetric potential. (English) Zbl 1510.82016 Commun. Nonlinear Sci. Numer. Simul. 48, 376-386 (2017). MSC: 82C10 PDFBibTeX XMLCite \textit{A. Boudjemâa}, Commun. Nonlinear Sci. Numer. Simul. 48, 376--386 (2017; Zbl 1510.82016) Full Text: DOI
Kanki, Kazuki; Garmon, Savannah; Tanaka, Satoshi; Petrosky, Tomio Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics. (English) Zbl 1372.81102 J. Math. Phys. 58, No. 9, 092101, 18 p. (2017). MSC: 81S22 81Q12 47B15 PDFBibTeX XMLCite \textit{K. Kanki} et al., J. Math. Phys. 58, No. 9, 092101, 18 p. (2017; Zbl 1372.81102) Full Text: DOI arXiv
Khare, Avinash; Saxena, Avadh Integrable oscillator type and Schrödinger type dimers. (English) Zbl 1357.81112 J. Phys. A, Math. Theor. 50, No. 5, Article ID 055202, 10 p. (2017). MSC: 81R12 81Q05 82B20 81R05 PDFBibTeX XMLCite \textit{A. Khare} and \textit{A. Saxena}, J. Phys. A, Math. Theor. 50, No. 5, Article ID 055202, 10 p. (2017; Zbl 1357.81112) Full Text: DOI
Cooper, Fred; Khare, Avinash; Comech, Andrew; Mihaila, Bogdan; Dawson, John F.; Saxena, Avadh Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry. (English) Zbl 1357.35259 J. Phys. A, Math. Theor. 50, No. 1, Article ID 015301, 24 p. (2017). MSC: 35Q55 35C08 81R05 81Q60 PDFBibTeX XMLCite \textit{F. Cooper} et al., J. Phys. A, Math. Theor. 50, No. 1, Article ID 015301, 24 p. (2017; Zbl 1357.35259) Full Text: DOI arXiv
Kanki, Kazuki; Hashimoto, Kazunari; Petrosky, Tomio; Tanaka, Satoshi Spontaneous breakdown of a PT-symmetry in the Liouvillian dynamics at a non-Hermitian degeneracy point. (English) Zbl 1402.81136 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 289-304 (2016). MSC: 81Q05 81Q12 81R05 PDFBibTeX XMLCite \textit{K. Kanki} et al., Springer Proc. Phys. 184, 289--304 (2016; Zbl 1402.81136) Full Text: DOI
Hashimoto, Kazunari; Kanki, Kazuki; Tanaka, Satoshi; Petrosky, Tomio Physical aspect of exceptional point in the Liouvillian dynamics for a quantum Lorentz gas. (English) Zbl 1402.81134 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 263-279 (2016). MSC: 81Q05 81V70 PDFBibTeX XMLCite \textit{K. Hashimoto} et al., Springer Proc. Phys. 184, 263--279 (2016; Zbl 1402.81134) Full Text: DOI
Fortin, Sebastian; Holik, Federico; Vanni, Leonardo Non-unitary evolution of quantum logics. (English) Zbl 1402.81019 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 219-234 (2016). MSC: 81P10 81Q12 PDFBibTeX XMLCite \textit{S. Fortin} et al., Springer Proc. Phys. 184, 219--234 (2016; Zbl 1402.81019) Full Text: DOI Link
Bender, Carl M.; Brody, Dorje C.; Hughston, Lane P.; Meister, Bernhard K. Geometric aspects of space-time reflection symmetry in quantum mechanics. (English) Zbl 1402.81127 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 185-199 (2016). MSC: 81Q05 81R05 PDFBibTeX XMLCite \textit{C. M. Bender} et al., Springer Proc. Phys. 184, 185--199 (2016; Zbl 1402.81127) Full Text: DOI Link
Barashenkov, Igor V.; Zezyulin, D. A. Localised nonlinear modes in the \(PT\)-symmetric double-delta well Gross-Pitaevskii equation. (English) Zbl 1402.81125 Bagarello, Fabio (ed.) et al., Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18–23, 2015. Cham: Springer (ISBN 978-3-319-31354-2/hbk; 978-3-319-31356-6/ebook). Springer Proceedings in Physics 184, 123-142 (2016). MSC: 81Q05 35Q55 81R05 PDFBibTeX XMLCite \textit{I. V. Barashenkov} and \textit{D. A. Zezyulin}, Springer Proc. Phys. 184, 123--142 (2016; Zbl 1402.81125) Full Text: DOI arXiv
Kaur, Harleen; Pal, Ritu; Raju, Thokala Soloman; Kumar, C. N. Butterfly-shaped and dromion-like optical waves in a tapered graded-index waveguide with variable group-velocity dispersion. (English) Zbl 1377.78005 Ann. Phys. 374, 366-374 (2016). MSC: 78A50 35Q55 PDFBibTeX XMLCite \textit{H. Kaur} et al., Ann. Phys. 374, 366--374 (2016; Zbl 1377.78005) Full Text: DOI
Yang, Jianke; Nixon, Sean Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials. (English) Zbl 1366.35175 Phys. Lett., A 380, No. 45, 3803-3809 (2016). MSC: 35Q55 35C08 35Q51 PDFBibTeX XMLCite \textit{J. Yang} and \textit{S. Nixon}, Phys. Lett., A 380, No. 45, 3803--3809 (2016; Zbl 1366.35175) Full Text: DOI arXiv
Nixon, Sean; Yang, Jianke Nonlinear wave dynamics near phase transition in \(\mathcal{PT}\)-symmetric localized potentials. (English) Zbl 1364.35338 Physica D 331, 48-57 (2016). MSC: 35Q55 35B06 35C08 PDFBibTeX XMLCite \textit{S. Nixon} and \textit{J. Yang}, Physica D 331, 48--57 (2016; Zbl 1364.35338) Full Text: DOI arXiv
Muhsina, K. Aysha; Subha, P. A. Parity-time symmetric coupled systems with varying loss/gain coefficient. (English) Zbl 1356.78052 J. Mod. Opt. 63, No. 16, 1584-1591 (2016). MSC: 78A35 PDFBibTeX XMLCite \textit{K. A. Muhsina} and \textit{P. A. Subha}, J. Mod. Opt. 63, No. 16, 1584--1591 (2016; Zbl 1356.78052) Full Text: DOI
Heiss, W. D.; Wunner, G. A model of three coupled wave guides and third order exceptional points. (English) Zbl 1357.81101 J. Phys. A, Math. Theor. 49, No. 49, Article ID 495303, 11 p. (2016). MSC: 81Q37 81R05 PDFBibTeX XMLCite \textit{W. D. Heiss} and \textit{G. Wunner}, J. Phys. A, Math. Theor. 49, No. 49, Article ID 495303, 11 p. (2016; Zbl 1357.81101) Full Text: DOI arXiv
Dohnal, Tomáš; Siegl, Petr Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry. (English) Zbl 1347.81043 J. Math. Phys. 57, No. 9, 093502, 18 p. (2016). MSC: 81Q12 35P30 35B32 78A60 82D55 82B26 PDFBibTeX XMLCite \textit{T. Dohnal} and \textit{P. Siegl}, J. Math. Phys. 57, No. 9, 093502, 18 p. (2016; Zbl 1347.81043) Full Text: DOI arXiv Link
Jutley, Jessica J.; Aceves, Alejandro B. Spontaneous \(\mathcal {PT}\)-symmetry breaking in nonlinearly coupled van der Pol oscillators. (English) Zbl 1366.34051 Stud. Appl. Math. 137, No. 2, 256-270 (2016). Reviewer: Qiru Wang (Guangzhou) MSC: 34C15 34C14 34E10 PDFBibTeX XMLCite \textit{J. J. Jutley} and \textit{A. B. Aceves}, Stud. Appl. Math. 137, No. 2, 256--270 (2016; Zbl 1366.34051) Full Text: DOI
Nixon, Sean D.; Yang, Jianke Bifurcation of soliton families from linear modes in non-\(\mathcal{PT}\)-symmetric complex potentials. (English) Zbl 1342.35351 Stud. Appl. Math. 136, No. 4, 459-483 (2016). MSC: 35Q55 35Q51 35C08 35B32 PDFBibTeX XMLCite \textit{S. D. Nixon} and \textit{J. Yang}, Stud. Appl. Math. 136, No. 4, 459--483 (2016; Zbl 1342.35351) Full Text: DOI arXiv
Am-Shallem, Morag; Kosloff, Ronnie; Moiseyev, Nimrod Exceptional points for parameter estimation in open quantum systems: analysis of the Bloch equations. (English) Zbl 1452.81139 New J. Phys. 17, No. 11, Article ID 113036, 12 p. (2015). MSC: 81S22 81P45 81P50 PDFBibTeX XMLCite \textit{M. Am-Shallem} et al., New J. Phys. 17, No. 11, Article ID 113036, 12 p. (2015; Zbl 1452.81139) Full Text: DOI arXiv
Battelli, F.; Diblík, J.; Fečkan, M.; Pickton, J.; Pospíšil, M.; Susanto, H. Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss. (English) Zbl 1347.35213 Nonlinear Dyn. 81, No. 1-2, 353-371 (2015). MSC: 35Q55 37D45 PDFBibTeX XMLCite \textit{F. Battelli} et al., Nonlinear Dyn. 81, No. 1--2, 353--371 (2015; Zbl 1347.35213) Full Text: DOI arXiv
Haag, Daniel; Dast, Dennis; Cartarius, Holger; Wunner, Günter Finite element calculations of \(\mathcal{PT}\)-symmetric Bose-Einstein condensates. (English) Zbl 1329.81203 Int. J. Theor. Phys. 54, No. 11, 4100-4109 (2015). MSC: 81R05 PDFBibTeX XMLCite \textit{D. Haag} et al., Int. J. Theor. Phys. 54, No. 11, 4100--4109 (2015; Zbl 1329.81203) Full Text: DOI
Abt, Nikolas; Cartarius, Holger; Wunner, Günter Supersymmetric model of a Bose-Einstein condensate in a \(\mathcal{PT}\)-symmetric double-delta trap. (English) Zbl 1329.81196 Int. J. Theor. Phys. 54, No. 11, 4054-4067 (2015). MSC: 81Q60 81Q05 81R05 81V70 PDFBibTeX XMLCite \textit{N. Abt} et al., Int. J. Theor. Phys. 54, No. 11, 4054--4067 (2015; Zbl 1329.81196) Full Text: DOI arXiv
Cuevas-Maraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh \(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. (English) Zbl 1329.81200 Int. J. Theor. Phys. 54, No. 11, 3960-3985 (2015). MSC: 81R05 82B10 PDFBibTeX XMLCite \textit{J. Cuevas-Maraver} et al., Int. J. Theor. Phys. 54, No. 11, 3960--3985 (2015; Zbl 1329.81200) Full Text: DOI arXiv
Dai, Chao-Qing; Xu, Yun-Jie; Wang, Yan Nonautonomous cnoidal wave and soliton management in parity-time symmetric potentials. (English) Zbl 1308.35053 Commun. Nonlinear Sci. Numer. Simul. 20, No. 2, 389-400 (2015). MSC: 35C08 35Q55 PDFBibTeX XMLCite \textit{C.-Q. Dai} et al., Commun. Nonlinear Sci. Numer. Simul. 20, No. 2, 389--400 (2015; Zbl 1308.35053) Full Text: DOI
Midya, Bikashkali; Roychoudhury, Rajkumar Nonlinear localized modes in \(\mathcal{PT}\)-symmetric optical media with competing gain and loss. (English) Zbl 1342.78037 Ann. Phys. 341, 12-20 (2014). MSC: 78A60 35Q55 35C08 PDFBibTeX XMLCite \textit{B. Midya} and \textit{R. Roychoudhury}, Ann. Phys. 341, 12--20 (2014; Zbl 1342.78037) Full Text: DOI arXiv
Achilleos, V.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Carretero-González, R. Solitons and their ghosts in \(\mathcal{P}\mathcal{T}\)-symmetric systems with defocusing nonlinearities. (English) Zbl 1327.35346 Carretero-González, Ricardo (ed.) et al., Localized excitations in nonlinear complex systems. Current state of the art and future perspectives. Contributions of the 2nd conference, LENCOS’12, Sevilla, Spain, July 9–12, 2012. Cham: Springer (ISBN 978-3-319-02056-3/hbk; 978-3-319-02057-0/ebook). Nonlinear Systems and Complexity 7, 3-42 (2014). MSC: 35Q55 35Q51 PDFBibTeX XMLCite \textit{V. Achilleos} et al., Nonlinear Syst. Complex. 7, 3--42 (2014; Zbl 1327.35346) Full Text: DOI arXiv
Zhang, X. Z.; Song, Z. Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system. (English) Zbl 1343.81099 Ann. Phys. 339, 109-121 (2013). MSC: 81Q12 PDFBibTeX XMLCite \textit{X. Z. Zhang} and \textit{Z. Song}, Ann. Phys. 339, 109--121 (2013; Zbl 1343.81099) Full Text: DOI arXiv
Dast, D.; Haag, D.; Cartarius, H.; Wunner, G.; Eichler, R.; Main, J. A Bose-Einstein condensate in a \(\mathscr{PT}\) symmetric double well. (English) Zbl 1338.81428 Fortschr. Phys. 61, No. 2-3, 124-139 (2013). MSC: 81V70 81Q05 35Q55 81Q12 82B26 81R05 49S05 35B35 PDFBibTeX XMLCite \textit{D. Dast} et al., Fortschr. Phys. 61, No. 2--3, 124--139 (2013; Zbl 1338.81428) Full Text: DOI
Brody, Dorje C.; Graefe, Eva-Maria Information geometry of complex Hamiltonians and exceptional points. (English) Zbl 1371.82059 Entropy 15, No. 9, 3361-3378 (2013). MSC: 82C10 37K05 82C26 82C27 PDFBibTeX XMLCite \textit{D. C. Brody} and \textit{E.-M. Graefe}, Entropy 15, No. 9, 3361--3378 (2013; Zbl 1371.82059) Full Text: DOI arXiv
Romero, Juan M.; González-Gaxiola, O.; Bernal-Jaquez, R. Non-Hermitian hydrogen atom. (English) Zbl 1330.81097 J. Math. Chem. 51, No. 8, 1990-2000 (2013). MSC: 81Q12 81V55 17B99 PDFBibTeX XMLCite \textit{J. M. Romero} et al., J. Math. Chem. 51, No. 8, 1990--2000 (2013; Zbl 1330.81097) Full Text: DOI
He, Ying-Ji; Malomed, Boris A. Spatial solitons in parity-time-symmetric photonic lattices: recent theoretical results. (English) Zbl 1273.78009 Malomed, Boris A. (ed.), Spontaneous symmetry breaking, self-trapping, and Josephson oscillations. Berlin: Springer (ISBN 978-3-642-21206-2/hbk; 978-3-642-21207-9/ebook). Progress in Optical Science and Photonics 1, 125-148 (2013). MSC: 78A40 82D25 35C08 PDFBibTeX XMLCite \textit{Y.-J. He} and \textit{B. A. Malomed}, Prog. Opt. Sci. Photonics 1, 125--148 (2013; Zbl 1273.78009) Full Text: DOI
Makris, K. G.; El-Ganainy, R.; Christodoulides, D. N.; Musslimani, Z. H. \({\mathcal{PT}}\)-symmetric periodic optical potentials. (English) Zbl 1215.81036 Int. J. Theor. Phys. 50, No. 4, 1019-1041 (2011). MSC: 81Q12 81Q05 78A37 PDFBibTeX XMLCite \textit{K. G. Makris} et al., Int. J. Theor. Phys. 50, No. 4, 1019--1041 (2011; Zbl 1215.81036) Full Text: DOI
Bendix, Oliver; Fleischmann, Ragnar; Kottos, Tsampikos; Shapiro, Boris Exponentially fragile \(\mathcal{PT}\) symmetry in lattices with localized eigenmodes. (English) Zbl 1254.81042 Phys. Rev. Lett. 103, No. 3, Article ID 030402, 4 p. (2009). MSC: 81Q12 81V80 82B44 82D30 PDFBibTeX XMLCite \textit{O. Bendix} et al., Phys. Rev. Lett. 103, No. 3, Article ID 030402, 4 p. (2009; Zbl 1254.81042) Full Text: DOI arXiv