Cusps in the quench dynamics of a Bloch state

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Bibliographic Details
Main Authors:	Zhang, J. M., Yang, Hua-Tong
Format:	Preprint
Published:	2016
Subjects:	Quantum Physics
Online Access:	Acceder al recurso
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_version_	1866913401912950784
author	Zhang, J. M. Yang, Hua-Tong
author_facet	Zhang, J. M. Yang, Hua-Tong
contents	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 \emph{nonperturbative} counterpart of the nonsmooth dynamics observed previously (Zhang and Haque, 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 $-\infty$ to $+\infty $, between which two arbitrary levels are coupled to each other by the same strength.
format	Preprint
id	arxiv_https___arxiv_org_abs_1601_03569
institution	arXiv
publishDate	2016
record_format	arxiv
spellingShingle	Cusps in the quench dynamics of a Bloch state Zhang, J. M. Yang, Hua-Tong Quantum Physics 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 \emph{nonperturbative} counterpart of the nonsmooth dynamics observed previously (Zhang and Haque, 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 $-\infty$ to $+\infty $, between which two arbitrary levels are coupled to each other by the same strength.
title	Cusps in the quench dynamics of a Bloch state
topic	Quantum Physics
url	https://arxiv.org/abs/1601.03569

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