Quantum quenches in integrable field theories

被引:211
作者
Fioretto, Davide [1 ,3 ]
Mussardo, Giuseppe [1 ,2 ,3 ]
机构
[1] SISSA, I-34151 Trieste, Italy
[2] Abdus Salaam Int Ctr Theoret Phys, I-34151 Trieste, Italy
[3] Ist Nazl Fis Nucl, Sez Trieste, I-34151 Trieste, Italy
关键词
BOSE-EINSTEIN CONDENSATE; FORM-FACTORS; MODELS; STATE; QFT;
D O I
10.1088/1367-2630/12/5/055015
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the non-equilibrium time evolution of an integrable field theory in 1 + 1 dimensions after sudden variation of a global parameter of the Hamiltonian. For a class of quenches defined in the text, we compute the long time limit of the one point function of a local operator as a series of form factors. Even if some subtleties force us to handle this result with care, there is strong evidence that for long times the expectation value of any local operator can be described by a generalized Gibbs ensemble with a different effective temperature for each eigenmode.
引用
收藏
页数:18
相关论文
共 35 条
[1]   FIELD-THEORETICAL DERIVATION OF THE TBA INTEGRAL-EQUATION [J].
BALOG, J .
NUCLEAR PHYSICS B, 1994, 419 (03) :480-506
[2]   STATISTICAL MECHANICS OF XY MODEL .1 [J].
BAROUCH, E ;
MCCOY, BM ;
DRESDEN, M .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1970, 2 (03) :1075-+
[3]   Dephasing and the steady state in quantum many-particle systems [J].
Barthel, T. ;
Schollwoeck, U. .
PHYSICAL REVIEW LETTERS, 2008, 100 (10)
[4]  
BIROLI G, 2009, ARXIV09073731
[5]   Time dependence of correlation functions following a quantum quench [J].
Calabrese, P ;
Cardy, J .
PHYSICAL REVIEW LETTERS, 2006, 96 (13)
[6]   Quantum quenches in extended systems [J].
Calabrese, Pasquale ;
Cardy, John .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
[7]   Effect of suddenly turning on interactions in the Luttinger model [J].
Cazalilla, M. A. .
PHYSICAL REVIEW LETTERS, 2006, 97 (15)
[8]   Nonthermal steady states after an interaction quench in the Falicov-Kimball model [J].
Eckstein, Martin ;
Kollar, Marcus .
PHYSICAL REVIEW LETTERS, 2008, 100 (12)
[9]   Quantum quenches from integrability: the fermionic pairing model [J].
Faribault, Alexandre ;
Calabrese, Pasquale ;
Caux, Jean-Sebastien .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,
[10]   Correlations in an expanding gas of hard-core bosons [J].
Gangardt, D. M. ;
Pustilnik, M. .
PHYSICAL REVIEW A, 2008, 77 (04)