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

F. Hebenstreit, D. Banerjee, M. Hornung, F. J. Jiang, F. Schranz, U. J. Wiese

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Article number035116
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number3
Publication statusPublished - 2015 Jul 9

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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