Real-time dynamics of open quantum spin systems driven by dissipative processes

Hebenstreit, Florian; Banerjee, Debasish; Hornung, Manes; Jiang, Fu-Jiun; Schranz, F.; Wiese, Uwe-Jens (2015). Real-time dynamics of open quantum spin systems driven by dissipative processes. Physical review. B - condensed matter and materials physics, 92(3) American Physical Society 10.1103/PhysRevB.92.035116

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We study the real-time evolution of large open quantum spin systems in two spatial dimensions, whose dynamics is entirely driven by a dissipative coupling to the environment. We consider different dissipative processes and investigate the real-time evolution from an ordered phase of the Heisenberg or XY model towards a disordered phase at late times, disregarding unitary Hamiltonian dynamics. The corresponding Kossakowski-Lindblad equation is solved via an efficient cluster algorithm. We find that the symmetry of the dissipative process determines the time scales, which govern the approach towards a new equilibrium phase at late times. Most notably, we find a slow equilibration if the dissipative process conserves any of the magnetization Fourier modes. In these cases, the dynamics can be interpreted as a diffusion process of the conserved quantity.

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