Non-zero entropy density in the XY chain out of equilibrium

Abstract

The von Neumann entropy density of a block of n spins is proved to be non-zero for large n in the non-equilibrium steady state of the XY chain constructed by coupling a finite cutout of the chain to the two infinite parts to its left and right which act as thermal reservoirs at different temperatures. Moreover, the non-equilibrium density is shown to be strictly greater than the density in thermal equilibrium.

References in corpus (16)

• Concentrating Partial Entanglement by Local Operations
• Entanglement in quantum critical phenomena
• Entropy and Area
• Geometric and Renormalized Entropy in Conformal Field Theory
• On Geometric Entropy
• Transport and conservation laws
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Integrability and ideal conductance at finite temperatures
• Black hole thermodynamics and information loss in two dimensions
• Heat transport by lattice and spin excitations in the spin chain compounds SrCuO_2 and Sr_2CuO_3
• Thermal conductivity and specific heat of the linear chain cuprate Sr${}_2$CuO${}_3$: Evidence for thermal transport via spinons
• Entropy production in quantum spin systems
• Isotropic Transverse XY Chain with Energy- and Magnetization Currents
• Entanglement in the XX spin chain with an energy current
• Out of equilibrium correlations in the XY chain

Cited by in corpus (10)

• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Entanglement evolution after connecting finite to infinite quantum chains
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Non-equilibrium quantum chains under multi-site Lindblad baths
• The von Neumann entropy asymptotics in multidimensional fermionic systems
• Work fluctuations in quantum spin chains
• Broken translation invariance in quasifree fermionic correlations out of equilibrium
• Bethe-ansatz diagonalization of steady state of boundary driven integrable spin chains
• Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs
• On the asymptotic scaling of the von Neumann entropy in quasifree fermionic right mover/left mover systems