Volume 114, Number 6, June 2016
|Number of page(s)||6|
|Published online||11 July 2016|
Cusps in the quench dynamics of a Bloch state
1 Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University - Fuzhou 350007, China
2 Fujian Provincial Collaborative Innovation Center for Optoelectronic Semiconductors and Efficient Devices Xiamen 361005, China
3 School of Physics, Northeast Normal University - Changchun 130024, China
Received: 6 March 2016
Accepted: 20 June 2016
We report some nonsmooth dynamics of a Bloch state in a one-dimensional tight binding model with the periodic boundary condition. After a sudden change of the potential of an arbitrary site, quantities like the survival probability of the particle in the initial Bloch state show cusps periodically, with the period being the Heisenberg time associated with the energy spectrum. This phenomenon is a nonperturbative counterpart of the nonsmooth dynamics observed previously (Zhang J. M. and Haque M., arXiv:1404.4280) in a periodically driven tight binding model. Underlying the cusps is an exactly solvable model, which consists of equally spaced levels extending from to , between which two arbitrary levels are coupled to each other by the same strength.
PACS: 03.65.-w – Quantum mechanics / 02.30.Rz – Integral equations
© EPLA, 2016
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