On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems-Reference-Cited by-同舟云学术

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

Published:2021-06-01 Issue:6 Volume:62 Page:061901
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Bardet Ivan¹,Capel Ángela²³⁴^ORCID,Lucia Angelo⁵⁶^ORCID,Pérez-García David²⁶,Rouzé Cambyse³⁴

Affiliation:

1. Inria, Paris, France

2. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), C/Nicolás Cabrera 13-15, Campus de Cantoblanco, 28049 Madrid, Spain

3. Department of Mathematics, Technische Universität München, 85748 Garching, Germany

4. Munich Center for Quantum Science and Technology (MCQST), München, Germany

5. California Institute of Technology, 1200 E California Blvd., MC 305-16, Pasadena, California 91125, USA

6. Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain

Funder

Agence Nationale de la Recherche

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Comunidad de Madrid

Walter Burke Institute for Theoretical Physics

Fundació n BBVA

Division of Physics

H2020 European Research Council

Technische Universität München

Deutsche Forschungsgemeinschaft

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/am-pdf/10.1063/1.5142186

Reference33 articles.

1. Quantum Reverse Hypercontractivity: Its Tensorization and Application to Strong Converses

2. The spectral gap for a Glauber-type dynamics in a continuous gas

3. Area law for fixed points of rapidly mixing dissipative quantum systems

4. A. Capel, “Quantum logarithmic Sobolev inequalities for quantum many-body systems: An approach via quasi-factorization of the relative entropy,” Ph.D. thesis, Universidad Autónoma de Madrid, 2019.

5. Quantum conditional relative entropy and quasi-factorization of the relative entropy

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