Entanglement evolution after connecting finite to infinite quantum chains

被引:74
作者
Eisler, V. [1 ]
Karevski, D. [2 ]
Platini, T. [2 ]
Peschel, I. [1 ]
机构
[1] Free Univ Berlin, Fachbereich Phys, D-14195 Berlin, Germany
[2] Univ Henri Poincare, UMR CNRS 7556, Phys Mat Lab, F-54506 Vandoeuvre Les Nancy, France
来源
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2008年
关键词
conformal field theory (theory); spin chains; ladders and planes (theory); entanglement in extended quantum systems (theory);
D O I
10.1088/1742-5468/2008/01/P01023
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study zero-temperature XX chains and transverse Ising chains and join an initially separate finite piece on one or on both sides to an infinite remainder. In both critical and non-critical systems we find a typical increase of the entanglement entropy after the quench, followed by a slow decay towards the value of the homogeneous chain. In the critical case, the predictions of conformal field theory are verified for the first phase of the evolution, while at late times a step structure can be observed.
引用
收藏
页数:15
相关论文
共 22 条
[1]  
AMICO L, 2007, QUANTPH0703044
[2]   Transport in the XX chain at zero temperature:: Emergence of flat magnetization profiles [J].
Antal, T ;
Rácz, Z ;
Rákos, A ;
Schütz, GM .
PHYSICAL REVIEW E, 1999, 59 (05) :4912-4918
[3]   Non-zero entropy density in the XY chain out of equilibrium [J].
Aschbacher, Walter H. .
LETTERS IN MATHEMATICAL PHYSICS, 2007, 79 (01) :1-16
[4]   Out of equilibrium correlations in the XY chain [J].
Aschbacher, Walter H. ;
Barbaroux, Jean-Marie .
LETTERS IN MATHEMATICAL PHYSICS, 2006, 77 (01) :11-20
[5]   Evolution of entanglement entropy in one-dimensional systems [J].
Calabrese, P ;
Cardy, J .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, :15-38
[6]   Entanglement and correlation functions following a local quench: a conformal field theory approach [J].
Calabrese, Pasquale ;
Cardy, John .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
[7]   Entanglement entropy dynamics of Heisenberg chains [J].
De Chiara, G ;
Montangero, S ;
Calabrese, P ;
Fazio, R .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,
[8]   Evolution of entanglement after a local quench [J].
Eisler, Viktor ;
Peschel, Ingo .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,
[9]   Long-range correlations in the nonequilibrium quantum relaxation of a spin chain [J].
Iglói, F ;
Rieger, H .
PHYSICAL REVIEW LETTERS, 2000, 85 (15) :3233-3236
[10]  
IGLOI F, 2007, 07093927ASTROPH, V709, P3927