Non-equilibrium quantum chains under multi-site Lindblad baths

Abstract

We study a quantum XX chain coupled to two heat reservoirs that act on multiple-sites and are kept at different temperatures and chemical potentials. The baths are described by Lindblad dissipators which are constructed by direct coupling to the fermionic normal modes of the chain. Using a perturbative method, we are able to find analytical formulas for all steady-state properties of the system. We compute both the particle/magnetization current and the energy current, both of which are found to have the structure of Landauer's formula. We also obtain exact formulas for the Onsager coefficients. All properties are found to differ substantially from those of a single-site bath. In particular, we find a strong dependence on the intensity of the bath couplings. In the weak coupling regime, we show that the Onsager reciprocal relations are satisfied.

References in corpus (50)

• Spintronics: Fundamentals and applications
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Heat Transport in low-dimensional systems
• Exceptional ballistic transport in epitaxial graphene nanoribbons
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Hydrodynamic Transport Coefficients in Relativistic Scalar Field Theory
• From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Exact nonequilibrium steady state of a strongly driven open XXZ chain
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Relaxation times of dissipative many-body quantum systems
• Fluctuation theorem in quantum heat conduction
• Heat transport in harmonic lattices
• Exact matrix product solution for the boundary-driven Lindblad $XXZ$-chain
• Bulk Properties of Anharmonic Chains in Strong Thermal Gradients: Non-Equilibrium ${\varphi }^4$ Theory
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Matrix product solutions of boundary driven quantum chains
• Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
• FPU $\beta$ model: Boundary Jumps, Fourier's Law and Scaling
• Theory of coherence in Bose-Einstein condensation phenomena in a microwave driven interacting magnon gas
• Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions
• Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
• Quantum transport efficiency and Fourier's law
• Relaxation in the XX quantum chain
• Heat transport in the $XXZ$ spin chain: from ballistic to diffusive regimes and dephasing enhancement
• Diffusive high-temperature transport in the one-dimensional Hubbard model
• Driven isotropic Heisenberg spin chain with arbitrary boundary twisting angle: exact results
• Reversal of Thermal Rectification in Quantum Systems
• Magnetoanisotropic Andreev Reflection in Ferromagnet/Superconductor Junctions
• Quantum heat transfer in harmonic chains with self consistent reservoirs: Exact numerical simulations
• Normal Heat Conduction in a Chain with Weak Interparticle Anharmonic Potential
• Non-equilibrium Statistical Mechanics of Anharmonic Crystals with Self-consistent Stochastic Reservoirs
• Manipulating energy and spin currents in nonequilibrium systems of interacting qubits
• Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
• Entropy production in linear Langevin systems
• Control of heat transport in quantum spin systems
• Fourier law from a chain of coupled anharmonic oscillators under energy conserving noise
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Crossover from Fermi-Pasta-Ulam to normal diffusive behaviour in heat conduction through open anharmonic lattices
• The open Heisenberg chain under boundary fields: a magnonic logic gate
• Magnetization transport in spin ladders and next-nearest-neighbor chains
• Alternation of sign of magnetization current in driven XXZ chains with twisted XY boundary gradients
• Fourier's law from a chain of coupled planar harmonic oscillators under energy conserving noise
• Anomalous nonequilibrium current fluctuations in the Heisenberg model
• Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
• Eigenvalue statistics as indicator of integrability of non-equilibrium density operators
• Thermal rectification in anharmonic chains under an energy-conserving noise
• Non-zero entropy density in the XY chain out of equilibrium
• Fourier's law on a one-dimensional optical random lattice

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• Non-equilibrium boundary driven quantum systems: models, methods and properties
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• Transport in Conductors and Rectifiers: Mean-Field Redfield Equations and Non-Equilibrium Green's Functions
• Open quantum systems and the grand canonical ensemble
• Quantum stochastic thermodynamics in the mesoscopic-leads formulation
• Anomalous flow in correlated quantum systems: No-go result and multiple-charge scenario
• Diverging conductance at the contact between random and pure quantum XX spin chains
• Current circulation near additional energy degeneracy points in quadratic Fermionic networks
• Closed dynamical recursion equations for correlation functions and the application on the construction of Liouvillian spectrum in Lindbladian systems
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• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
• Charge current and phase diagram of the disordered open longer-range Kitaev chain
• Open quantum systems beyond equilibrium: Lindblad equation and path integral molecular dynamics