Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields.

*(English)*Zbl 1283.81024Summary: We study the dynamics of one dimensional tight-binding model with arbitrary time-dependent external fields in a rigorous manner. The exact propagators of systems with homogeneous electric and magnetic fields are presented by following the path-integral method. The phenomena of Bloch and super Bloch oscillations are revisited in the framework of propagator theory. It is shown that the Bloch acceleration theorem can be generalized to the impulse-momentum theorem in a quantum version, which provides new tools for quantum state control. As an application, the stopping and accelerating of a wave packet can be achieved by a pulsed field in a diabatic way, which can increase the fault tolerance of the system.

##### MSC:

81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |

81S40 | Path integrals in quantum mechanics |

82C70 | Transport processes in time-dependent statistical mechanics |

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\textit{W. H. Hu} et al., Quantum Inf. Process. 12, No. 11, 3569--3585 (2013; Zbl 1283.81024)

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