Evolution of the magnetization after a local quench in the critical transverse-field Ising chain

被引：7

作者：

Igloi, Ferenc ^{[1
,2
,3
]}

Roosz, Gergo ^{[1
,2
]}

Turban, Loic ^{[3
,4
]}

机构：

[1] Wigner Res Ctr, Inst Solid State Phys & Opt, H-1525 Budapest, Hungary

[2] Univ Szeged, Inst Theoret Phys, H-6720 Szeged, Hungary

[3] Univ Lorraine, Inst Jean Lamour, UMR 7198, F-54506 Nancy, France

[4] CNRS, Inst Jean Lamour, UMR 7198, F-54011 Nancy, France

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2014年

关键词：

conformal field theory (theory); spin chains; ladders and planes (theory); quantum phase transitions (theory); QUANTUM SPIN CHAINS; CONFORMAL-INVARIANCE; STATISTICAL-MECHANICS; XY-MODEL; CRITICAL-BEHAVIOR; DEFECTS; SYSTEMS; RELAXATION; LINE; ENTANGLEMENT;

D O I：

10.1088/1742-5468/2014/03/P03023

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the time evolution of the local magnetization in the critical Ising chain in a transverse field after a sudden change of the parameters at a defect. The relaxation of the defect magnetization is algebraic and the corresponding exponent. which is a continuous function of the defect parameters, is calculated exactly. In finite chains the relaxation is oscillating in time and its form is conjectured on the basis of precise numerical calculations.

引用

页数：21

共 50 条

[31] Critical behavior of the fidelity susceptibility for the d=2 transverse-field Ising model
Nishiyama, Yoshihiro
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (19) : 4345 - 4350
[32] Crossovers and critical scaling in the one-dimensional transverse-field Ising model
Wu, Jianda
Zhu, Lijun
Si, Qimiao
PHYSICAL REVIEW B, 2018, 97 (24)
[33] Transverse spin correlations of the random transverse-field Ising model
Igloi, Ferenc
Kovacs, Istvan A.
PHYSICAL REVIEW B, 2018, 97 (09)
[34] Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators
Calabrese, Pasquale
Essler, Fabian H. L.
Fagotti, Maurizio
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2012,
[35] Operator growth in the transverse-field Ising spin chain with integrability-breaking longitudinal field
Noh, Jae Dong
PHYSICAL REVIEW E, 2021, 104 (03)
[36] Stochastic parameter optimization analysis of dynamical quantum critical phenomena in the long-range transverse-field Ising chain
Shiratani, Sora
Todo, Synge
PHYSICAL REVIEW E, 2024, 110 (06)
[37] Finite-temperature and dynamical properties of the random transverse-field Ising spin chain
Young, AP
PHYSICAL REVIEW B, 1997, 56 (18) : 11691 - 11700
[38] Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain
Javanmard, Younes
Trapin, Daniele
Bera, Soumya
Bardarson, Jens H.
Heyl, Markus
NEW JOURNAL OF PHYSICS, 2018, 20
[39] Local entanglement and confinement transitions in the random transverse-field Ising model on the pyrochlore lattice
Pardini, Tom
Menon, Anirudha
Hau-Riege, Stefan P.
Singh, Rajiv R. P.
PHYSICAL REVIEW B, 2019, 100 (14)
[40] Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder
Shirai, Tatsuhiko
Tanaka, Shu
ANNALS OF PHYSICS, 2021, 435

← 1 2 3 4 5 →