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
收藏
页数：21
相关论文
共 50 条
  • [21] Dynamical crossover in the transient quench dynamics of short-range transverse-field Ising models
    Dag, Ceren B.
    Sun, Kai
    PHYSICAL REVIEW B, 2021, 103 (21)
  • [22] Perturbed ferromagnetic chain: Tunable test of hardness in the transverse-field Ising model
    O'Connor, D. T.
    Fry-Bouriaux, L.
    Warburton, P. A.
    PHYSICAL REVIEW A, 2022, 105 (02)
  • [23] Order-disorder transition in a fully frustrated transverse-field Ising chain
    Fukumoto, Y
    Oguchi, A
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72 (09) : 2317 - 2325
  • [24] Insights from the analytical solution of a periodically driven transverse-field Ising chain
    Das, Pritam
    Dutta, Anirban
    PHYSICAL REVIEW B, 2025, 111 (04)
  • [25] Quench dynamics and defects formation in the Ising chain in a transverse magnetic field
    Nesterov, Alexander, I
    Ramirez, Monica F.
    Ovchinnikov, Sergey G.
    EUROPEAN PHYSICAL JOURNAL B, 2022, 95 (04):
  • [26] Quench dynamics and defects formation in the Ising chain in a transverse magnetic field
    Alexander I. Nesterov
    Mónica F. Ramírez
    Sergey G. Ovchinnikov
    The European Physical Journal B, 2022, 95
  • [27] Griffiths-McCoy singularities in the random transverse-field Ising spin chain
    Iglói, F
    Juhász, R
    Rieger, H
    PHYSICAL REVIEW B, 1999, 59 (17) : 11308 - 11314
  • [28] VARYING EXPONENT OF THE IMPURITY MAGNETIZATION IN THE ISING CHAIN WITH A TRANSVERSE FIELD
    UZELAC, K
    JULLIEN, R
    PFEUTY, P
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (01): : L17 - L21
  • [29] Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
    Viehmann, Oliver
    von Delft, Jan
    Marquardt, Florian
    PHYSICAL REVIEW LETTERS, 2013, 110 (03)
  • [30] Magnetization oscillations in a periodically driven transverse field Ising chain
    Wang, Xiao
    Oshikawa, Masaki
    Kormos, Marton
    Wu, Jianda
    PHYSICAL REVIEW B, 2024, 110 (19)
12345