Dynamical properties of dissipative XYZ Heisenberg lattices
Year: 2018
Authors: Rota R., Minganti F., Biella A., Ciuti C.
Autors Affiliation: Univ Paris Diderot, CNRS UMR 7162, Sorbonne Paris Cite, Lab Mat & Phenomenes Quant, 10 Rue Alice Domon & Leonie Duquet, F-75013 Paris, France; Ecole Polytech Fed Lausanne, Inst Phys, CH-1015 Lausanne, Switzerland.
Abstract: We study dynamical properties of dissipative XYZ Heisenberg lattices where anisotropic spin-spin coupling competes with local incoherent spin flip processes. In particular, we explore a region of the parameter space where dissipative magnetic phase transitions for the steady state have been recently predicted by mean-field theories and exact numerical methods. We investigate the asymptotic decay rate towards the steady state both in 1D (up to the thermodynamical limit) and in finite-size 2D lattices, showing that critical dynamics does not occur in 1D, but it can emerge in 2D. Wealso analyze the behavior of individual homodyne quantum trajectories, which reveal the nature of the transition.
Journal/Review: NEW JOURNAL OF PHYSICS
Volume: 20 Pages from: 45003-1 to: 45003-9
More Information: We thank N Bartolo, F Storme and F Vicentini for useful discussions. We acknowledge support from ERC (via Consolidator Grant CORPHO No. 616233).KeyWords: open quantum systems; quantum criticality; dissipative phase transitionsDOI: 10.1088/1367-2630/aab703Citations: 34data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)