Charge and spin current statistics of the open Hubbard model with weak coupling to the environment

Abstract

Based on generalization and extension of previous work [Phys. Rev. Lett. {\bf 112}, 067201 (2014)] to multiple independent markovian baths we will compute the charge and spin current statistics of the open Hubbard model with weak system-bath coupling up to next-to-leading order in the coupling parameter. The physical results are related to those for the $XXZ$ model in the analogous setup implying a certain universality which potentially holds in this class of nonequilibrium models.

10 pages, 1 figure

References in corpus (8)

• The large deviation approach to statistical mechanics
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
• Analysis of quantum semigroups with GKS--Lindblad generators II. General
• Infinitely dimensional Lax structure for one-dimensional Hubbard model
• Anomalous nonequilibrium current fluctuations in the Heisenberg model
• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Convergence radius of perturbative Lindblad driven non-equilibrium steady states

Cited by in corpus (5)

• Harnessing symmetry to control quantum transport
• Landauer-Büttiker equation for bosonic carriers
• The open Bose-Hubbard chain: Pseudoclassical approach
• Coupled activity-current fluctuations in open quantum systems under strong symmetries
• Open Fermi-Hubbard model: Landauer's vs. master equation approaches