Transport in open spin chains: A Monte Carlo wave-function approach

2008/03/07 by Mathias Michel, M. Michel, Ortwin Hess +3 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computation #Diffusion Monte Carlo #Dynamic Monte Carlo method #Extrapolation #Function (biology) #Master equation #Mathematical analysis #Mathematics #Monte Carlo method #Monte Carlo molecular modeling #Non-equilibrium thermodynamics #Physics #Quantum #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Statistical physics #Wave function #quant-ph

paper · pdf · doi:10.1103/physrevb.77.104303

published as Phys. Rev. B 77, 104303 (2008) · to be published in Physical Reviews B

arxiv created 2008/03/07 · openalex publication_date 2008/03/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate energy transport in several two-level atom or spin-1∕2 models by a direct coupling to heat baths of different temperatures. The analysis is carried out on the basis of a recently derived quantum master equation which describes the nonequilibrium properties of internally weakly coupled systems appropriately. For the computation of the stationary state of the dynamical equations, we employ a Monte Carlo wave-function approach. The analysis directly indicates normal diffusive or ballistic transport in finite models and hints toward an extrapolation of the transport behavior of infinite models.

Citations

• Thermal transport of theXXZchain in a magnetic field
• Heat transport in quantum spin chains
• Thermal conductivity of one-dimensional spin- systems
• Quantum heat transport: Perturbation theory in Liouville space
• Genuine quantum trajectories for non-Markovian processes
• Transport in Almost Integrable Models: Perturbed Heisenberg Chains
• Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems
• Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
• Completely positive dynamical semigroups of N-level systems
• Fourier's Law confirmed for a class of small quantum systems

Cited by

• Thermal transport in one-dimensional spin heterostructures
• Dephasing enhanced transport in nonequilibrium strongly correlated quantum systems
• Quantum-to-classical reduction of quantum master equations
• Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision model