Quantum quenches to the attractive one-dimensional Bose gas: exact results

被引:54
作者
Piroli, L. [1 ,2 ]
Calabrese, P. [1 ,2 ]
Essler, F. H. L. [3 ]
机构
[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[2] INFN, Via Bonomea 265, I-34136 Trieste, Italy
[3] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England
基金
英国工程与自然科学研究理事会;
关键词
LOCAL CONSERVATION-LAWS; TONKS-GIRARDEAU GAS; STATISTICAL-MECHANICS; FIELD-THEORY; THERMALIZATION; ENTANGLEMENT; RELAXATION; DYNAMICS; SYSTEMS; BOSONS;
D O I
10.21468/SciPostPhys.1.1.001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multiparticle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function g(2).
引用
收藏
页数:34
相关论文
共 150 条
[1]   Chiral Prethermalization in Supersonically Split Condensates [J].
Agarwal, Kartiek ;
Torre, Emanuele G. Dalla ;
Rauer, Bernhard ;
Langen, Tim ;
Schmiedmayer, Joerg ;
Demler, Eugene .
PHYSICAL REVIEW LETTERS, 2014, 113 (19)
[2]   The quench action approach in finite integrable spin chains [J].
Alba, Vincenzo ;
Calabrese, Pasquale .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2016,
[3]  
Altman E., ARXIV151200870
[4]   Beyond the Tonks-Girardeau gas: Strongly correlated regime in quasi-one-dimensional Bose gases [J].
Astrakharchik, GE ;
Boronat, J ;
Casulleras, J ;
Giorgini, S .
PHYSICAL REVIEW LETTERS, 2005, 95 (19)
[5]   Evidence for the super Tonks-Girardeau gas [J].
Batchelor, MT ;
Bortz, M ;
Guan, XW ;
Oelkers, N .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, :1-9
[6]  
Bertini B., 2014, J STAT MECH-THEORY E, V10, P10035, DOI DOI 10.1088/1742-5468
[7]   Quantum quenches in the sinh-Gordon model: steady state and one-point correlation functions [J].
Bertini, Bruno ;
Piroli, Lorenzo ;
Calabrese, Pasquale .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2016,
[8]   Pre-relaxation in weakly interacting models [J].
Bertini, Bruno ;
Fagotti, Maurizio .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2015,
[9]   Many-body physics with ultracold gases [J].
Bloch, Immanuel ;
Dalibard, Jean ;
Zwerger, Wilhelm .
REVIEWS OF MODERN PHYSICS, 2008, 80 (03) :885-964
[10]   Quench dynamics in randomly generated extended quantum models [J].
Brandino, G. P. ;
De Luca, A. ;
Konik, R. M. ;
Mussardo, G. .
PHYSICAL REVIEW B, 2012, 85 (21)