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

• Authors: D. Woźniak , A. Drzewiński , G. Kamieniarz
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

75.10.Jm; 76.60.Es; 05.30.-d; 75.30.Gw

Discipline

• 75.30.Gw: Magnetic anisotropy
• 05.30.-d: Quantum statistical mechanics(for quantum fluids aspects, see 67.10.Fj)
• 76.60.Es: Relaxation effects
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 6
• Pages: 1395-1400

Dates

published

2016-12

received

2016-02-26

(unknown)

2016-11-03

Contributors

author

D. Woźniak

• Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland

author

A. Drzewiński

• Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland

author

G. Kamieniarz

• Faculty of Physics, A. Mickiewicz University, Umultowska 85, PL-61614 Poznań, Poland

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Identifiers

DOI

10.12693/APhysPolA.130.1395