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

Abstract

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.

28 pages, 11 figures. Revised version: Presentation reorganized and one figure added

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Cited by in corpus (8)

• Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1+1 dimensions
• Solution to sign problems in models of interacting fermions and quantum spins
• Dissipative Bose-Einstein condensation in contact with a thermal reservoir
• Solution to the sign problem in a frustrated quantum impurity model
• Recent progress on cluster and meron algorithms for strongly correlated systems
• Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipation
• Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation
• Lattice Lindblad simulation