Relaxation Dynamics in the Spin-1 Heisenberg Antiferromagnetic Chain after a Quantum Quench of the Uniaxial Anisotropy

被引：4

作者：

Wozniak, D. ^{[1
]}

Drzewinski, A. ^{[1
]}

Kamieniarz, G. ^{[2
]}

机构：

[1] Univ Zielona Gora, Inst Phys, Prof Z Szafrana 4a, PL-65516 Zielona Gora, Poland

[2] Adam Mickiewicz Univ, Fac Phys, Umultowska 85, PL-61614 Poznan, Poland

来源：

ACTA PHYSICA POLONICA A | 2016年 / 130卷 / 06期

关键词：

DENSITY-MATRIX RENORMALIZATION; PRODUCT STATES; SYSTEMS; FIDELITY;

D O I：

10.12693/APhysPolA.130.1395

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the framework of the matrix product state representation the effect of a sudden turning on of the uniaxial anisotropy on the time evolution of the Haldane state has been investigated. Depending on the value of the uniaxial anisotropy parameter, the calculations were derived within (or outside) the region where the Haldane gap survives. An exact expression for the time evolution of the Loschmidt echo has been derived and, moreover, its collapse and revival behaviour was captured. In addition, the non-local order parameter of a time evolving state was tracked, revealing two types of relaxations.

引用

页码：1395 / 1400

页数：6

共 50 条

[21] Numerical investigations of SO(4) emergent extended symmetry in spin-1/2 Heisenberg antiferromagnetic chains
Patil, Pranay
Katz, Emanuel
Sandvik, Anders W.
PHYSICAL REVIEW B, 2018, 98 (01)
[22] Real-time energy dynamics in spin-1/2 Heisenberg chains
Langer, Stephan
Heyl, Markus
McCulloch, Ian P.
Heidrich-Meisner, Fabian
PHYSICAL REVIEW B, 2011, 84 (20):
[23] Quantum spin-1 anisotropic ferromagnetic Heisenberg model in a crystal field: A variational approach
Carvalho, D. C.
Plascak, J. A.
Castro, L. M.
PHYSICAL REVIEW E, 2013, 88 (03):
[24] Bond disorder and breakdown of ballistic heat transport in the spin-1/2 antiferromagnetic Heisenberg chain as seen in Ca-doped SrCuO2
Hlubek, N.
Ribeiro, P.
Saint-Martin, R.
Nishimoto, S.
Revcolevschi, A.
Drechsler, S. -L.
Behr, G.
Trinckauf, J.
Hamann-Borrero, J. E.
Geck, J.
Buechner, B.
Hess, C.
PHYSICAL REVIEW B, 2011, 84 (21):
[25] Flying spin qubits: A method for encoding and transporting qubits within a dimerized Heisenberg spin-1/2 chain
Srinivasa, Vanita
Levy, Jeremy
Hellberg, C. Stephen
PHYSICAL REVIEW B, 2007, 76 (09)
[26] Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
Yang, Wang
Nocera, Alberto
Affleck, Ian
PHYSICAL REVIEW RESEARCH, 2020, 2 (03):
[27] Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
Kuhn, C. C. N.
Guan, X. W.
Foerster, A.
Batchelor, M. T.
PHYSICAL REVIEW A, 2012, 85 (04):
[28] Entanglement and quantum phase transition in a mixed-spin Heisenberg chain with single-ion anisotropy
Solano-Carrillo, E.
Franco, R.
Silva-Valencia, J.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (11) : 2208 - 2214
[29] Quantum phase transitions and string orders in the spin-1/2 Heisenberg-Ising alternating chain with Dzyaloshinskii-Moriya interaction
Liu, Guang-Hua
You, Wen-Long
Li, Wei
Su, Gang
JOURNAL OF PHYSICS-CONDENSED MATTER, 2015, 27 (16)
[30] Spin-Wave Analysis of the Spin-1 Two-Dimensional Frustrated Heisenberg Antiferromagnet with the Single-Ion Anisotropy
Wu You
Chen Yuan
COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 60 (03) : 357 - 362

← 1 2 3 4 5 →