Equivalence of transport coefficients in bath-induced and dynamical scenarios

Abstract

We investigate the transport of a single excitation through a chain of weakly coupled subunits. At both ends the chain is exposed to baths which are incorporated by means of a master equation in Lindblad form. This master equation is solved by the use of stochastic unraveling in order to obtain excitation profile and current in the steady state. Completely diffusive transport is found for a range of model parameters, whereas signatures of ballistic behavior are observed outside this range. In the diffusive regime the conductivity is rather independent from the strength of the bath coupling and quantitatively agrees with the diffusion coefficient which has been derived from an investigation of the same model without baths. Also the ballistic behavior in the non-diffusive regime is in accord with results from this alternative approach.

5 pages, 3 figures, accepted for publication in Europhys. Lett

References in corpus (7)

• Modeling heat transport through completely positive maps
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Transport in open spin chains: A Monte Carlo wave-function approach
• Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
• Negative differential conductivity in far-from-equilibrium quantum spin chains
• Limited validity of the Kubo formula for thermal conduction in modular quantum systems
• Transition from diffusive to ballistic dynamics for a class of finite quantum models

Cited by in corpus (13)

• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• Decay of currents for strong interactions
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• Quantum master equation for many-body systems: Derivation based on the Lieb-Robinson bound
• Kubo formula for finite size systems
• Real-time broadening of bath-induced density profiles from closed-system correlation functions
• Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
• Quantum-to-Classical Reduction of Quantum Master Equations
• Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• Lindblad quantum dynamics from correlation functions of classical spin chains