Return amplitude after a quantum quench in the XY chain

被引：13

作者：

Najafi, Khadijeh ^{[1
]}

Rajabpour, M. A. ^{[2
]}

Viti, Jacopo ^{[3
,4
]}

机构：

[1] Virginia Tech, Dept Phys, Blacksburg, VA 24061 USA

[2] Univ Fed Fluminense, Inst Fis, Av Gal Milton Tavares de Souza S-N, BR-24210346 Niteroi, RJ, Brazil

[3] Univ Fed Rio Grande do Norte, Int Inst Phys, Campos Univ, BR-59078970 Natal, RN, Brazil

[4] Univ Fed Rio Grande do Norte, ECT, Campos Univ, BR-59078970 Natal, RN, Brazil

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2019年

基金：

美国国家科学基金会;

关键词：

quantum quenches; SPIN CHAINS; THERMALIZATION;

D O I：

10.1088/1742-5468/ab3413

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We determine an exact formula for the transition amplitude between any two arbitrary eigenstates of the local z-magnetization operators in the quantum XY chain. We further use this formula to obtain an analytical expression for the return amplitude of fully polarized states and the Neel state on a ring of length L. Then, we investigate finite-size effects in the return amplitude: in particular quasi-particle interference halfway along the ring, a phenomenon that has been dubbed traversal (Essler and Fagotti 2016 J. Stat. Mech. 064002). We show that the traversal time and the features of the return amplitude at the traversal time depend on the initial state and on the parity of L. Finally, we briefly discuss non-analyticities in time of the decay rates in the thermodynamic limit L -> infinity, which are known as dynamical phase transitions.

引用

页数：23

共 103 条

[11] Time dependence of correlation functions following a quantum quench [J].