Quantum quench in long-range field theories

被引:36
作者
Rajabpour, M. A. [1 ]
Sotiriadis, S. [2 ,3 ]
机构
[1] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ, Brazil
[2] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy
[3] Ist Nazl Fis Nucl, Sez Pisa, I-56127 Pisa, Italy
来源
PHYSICAL REVIEW B | 2015年 / 91卷 / 04期
基金
巴西圣保罗研究基金会;
关键词
PROPAGATION; SYSTEMS; SIMULATOR;
D O I
10.1103/PhysRevB.91.045131
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the equilibration properties of observables in long-range field theories after the mass quench in d = 1, 2, and 3 dimensions. We classify the regimes where we expect equilibration or its absence in different dimensions. In addition, we study the effect of the initial state in the equilibration properties of our system. In the case of free field theories, we show that whenever we have equilibration, the long-time limit of correlations can be described by the generalized Gibbs ensemble. We prove that all integrals of motion in our system are nonlocal.
引用
收藏
页数:13
相关论文
共 99 条
[1]   Relations between short-range and long-range Ising models [J].
Angelini, Maria Chiara ;
Parisi, Giorgio ;
Ricci-Tersenghi, Federico .
PHYSICAL REVIEW E, 2014, 89 (06)
[2]   Synchronization in the BCS pairing dynamics as a critical phenomenon [J].
Barankov, R. A. ;
Levitov, L. S. .
PHYSICAL REVIEW LETTERS, 2006, 96 (23)
[3]   Dephasing and the steady state in quantum many-particle systems [J].
Barthel, T. ;
Schollwoeck, U. .
PHYSICAL REVIEW LETTERS, 2008, 100 (10)
[4]   Quantum quench in the sine-Gordon model [J].
Bertini, Bruno ;
Schuricht, Dirk ;
Essler, Fabian H. L. .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2014,
[5]   Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems [J].
Biroli, Giulio ;
Kollath, Corinna ;
Laeuchli, Andreas M. .
PHYSICAL REVIEW LETTERS, 2010, 105 (25)
[6]   Influence of long-range interactions on the critical behavior of the Ising model [J].
Blanchard, T. ;
Picco, M. ;
Rajabpour, M. A. .
EPL, 2013, 101 (05)
[7]  
Brandino G., ARXIV13010308
[8]   Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins [J].
Britton, Joseph W. ;
Sawyer, Brian C. ;
Keith, Adam C. ;
Wang, C. -C. Joseph ;
Freericks, James K. ;
Uys, Hermann ;
Biercuk, Michael J. ;
Bollinger, John J. .
NATURE, 2012, 484 (7395) :489-492
[9]   Quantum quenches from excited states in the Ising chain [J].
Bucciantini, Leda ;
Kormos, Marton ;
Calabrese, Pasquale .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (17)
[10]   Time dependence of correlation functions following a quantum quench [J].
Calabrese, P ;
Cardy, J .
PHYSICAL REVIEW LETTERS, 2006, 96 (13)