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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Lindblad dynamics of the quantum spherical model

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Author(s):
Wald, Sascha [1, 2] ; Landi, Gabriel T. [3] ; Henkel, Malte [1, 4, 5]
Total Authors: 3
Affiliation:
[1] Univ Lorraine Nancy, Inst Jean Lamour, CNRS, Dept Phys Matiere Mat, Grp Phys Stat, UMR 7198, F-54506 Vandoeuvre LesNancy - France
[2] SISSA Int Sch Adv Studies, Via Bonomea 265, I-34136 Trieste - Italy
[3] Univ Sao Paulo, Inst Fis, Caixa Postal 66318, BR-05314970 Sao Paulo, SP - Brazil
[4] Swiss Fed Inst Technol, Inst Bausto, Rechnergestutzte Phys Werkstoffe, Stefano Franscini Pl 3, CH-8093 Zurich - Switzerland
[5] Univ Lisbon, Ctr Fis Teor & Computac, P-1749016 Lisbon - Portugal
Total Affiliations: 5
Document type: Journal article
Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; JAN 2018.
Web of Science Citations: 5
Abstract

The purely relaxational non-equilibrium dynamics of the quantum spherical model as described through a Lindblad equation is analysed. It is shown that the phenomenological requirements of reproducing the exact quantum equilibrium state as stationary solution and the associated classical Langevin equation in the classical limit g -> 0 fix the form of the Lindblad dissipators, up to an overall time-scale. In the semi-classical limit, the models' behaviour becomes effectively the one of the classical analogue, with a dynamical exponent z = 2 indicating diffusive transport, and an effective temperature T-eff., renormalised by the quantum coupling g. A different behaviour is found for a quantum quench, at zero temperature, deep into the ordered phase g << g(c)(d), for d > 1 dimensions. Only for d = 2 dimensions, a simple scaling behaviour holds true, with a dynamical exponent z = 1 indicating ballistic transport, while for dimensions d not equal 2, logarithmic corrections to scaling arise. The spin-spin correlator, the growing length scale and the time-dependent susceptibility show the existence of several logarithmically different length scales. (AU)

FAPESP's process: 16/08721-7 - Stochastic modeling of non-equilibrium quantum systems
Grantee:Gabriel Teixeira Landi
Support type: Regular Research Grants