Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipation

Abstract

Using quantum Monte Carlo, we study the non-equilibrium transport of magnetization in large open strongly correlated quantum spin $\frac{1}{2}$ systems driven by purely dissipative processes that conserve the uniform or staggered magnetization. We prepare both a low-temperature Heisenberg ferromagnet and an antiferromagnet in two parts of the system that are initially isolated from each other. We then bring the two subsystems in contact and study their real-time dissipative dynamics for different geometries. The flow of the uniform or staggered magnetization from one part of the system to the other is described by a diffusion equation that can be derived analytically.

6 pages, 5 figures. Revised version: Discussion extended and references added

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Cited by in corpus (7)

• 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 Evolution of Strongly Coupled Fermions driven by Dissipation
• Dynamics in quantum Ising chain driven by inhomogeneous transverse magnetization
• Lattice Lindblad simulation