On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems

DOI10.1063/1.5142186zbMath1467.81068arXiv1908.09004OpenAlexW3171320799MaRDI QIDQ5000191

Angelo Lucia, Cambyse Rouzé, Ivan Bardet, David Pérez-García, Ángela Capel

Publication date: 9 July 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09004

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Many-body theory; quantum Hall effect (81V70) Functional inequalities, including subadditivity, convexity, etc. (39B62) Statistical thermodynamics (82B30) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (8)

Quasi-factorization and multiplicative comparison of subalgebra-relative entropy ⋮ Interpolation between modified logarithmic Sobolev and Poincaré inequalities for quantum Markovian dynamics ⋮ Szegedy walk unitaries for quantum maps ⋮ Coarse Ricci curvature of quantum channels ⋮ Entropy decay for Davies semigroups of a one dimensional quantum lattice ⋮ Approximate tensorization of the relative entropy for noncommuting conditional expectations ⋮ Stability of logarithmic Sobolev inequalities under a noncommutative change of measure ⋮ Improved quantum hypercontractivity inequality for the qubit depolarizing channel

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