Currents in non-equilibrium steady states of open inhomogeneous XX-spin chains

2024/08/09 by Pierre-Antoine Bernard, Ismaël Bussière, Bernard, Pierre-Antoine +5 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum many-body systems #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2408.04818

openalex publication_date 2024/08/09 · openalex created_date 2024/09/10 · openalex updated_date 2026/07/28

Abstract

We investigate spin and heat currents in the non-equilibrium steady state of inhomogeneous XX-spin chains, which act as interfaces between two bosonic heat baths. Using special functions that diagonalize the single-particle Hamiltonian, we derive closed-form expressions for these currents. For small temperature differences between the baths, we show that inhomogeneities breaking the mirror symmetry of the chain significantly reduce both heat and spin conductivities. Connections with perfect state transfer are discussed.

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• Exactly solvable inhomogeneous XY spin chain

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