Relaxation Dynamics in the Spin-1 Heisenberg Antiferromagnetic Chain after a Quantum Quench of the Uniaxial Anisotropy
D. Woźniak a, A. Drzewińskia and G. Kamieniarz b
aInstitute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland
bFaculty of Physics, A. Mickiewicz University, Umultowska 85, PL-61614 Poznań, Poland
Received: February 26, 2016; In final form: November 3, 2016
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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.

DOI: 10.12693/APhysPolA.130.1395
PACS numbers: 75.10.Jm, 76.60.Es, 05.30.-d, 75.30.Gw