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

Fuente: arXiv
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Autori principali: Bernard, Pierre-Antoine, Bussière, Ismaël, Floreanini, Roberto, Vinet, Luc
Natura: Preprint
Pubblicazione: 2024
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author Bernard, Pierre-Antoine
Bussière, Ismaël
Floreanini, Roberto
Vinet, Luc
author_facet Bernard, Pierre-Antoine
Bussière, Ismaël
Floreanini, Roberto
Vinet, Luc
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04818
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Currents in non-equilibrium steady states of open inhomogeneous $XX$-spin chains
Bernard, Pierre-Antoine
Bussière, Ismaël
Floreanini, Roberto
Vinet, Luc
Quantum Physics
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.
title Currents in non-equilibrium steady states of open inhomogeneous $XX$-spin chains
topic Quantum Physics
url https://arxiv.org/abs/2408.04818