A correlation estimate for quantum many-body systems at positive temperature Journal Article


Author(s): Seiringer, Robert
Article Title: A correlation estimate for quantum many-body systems at positive temperature
Affiliation
Abstract: We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of non-interacting systems and the difference in the free energy. This bound can be viewed as a rigorous version of first-order perturbation theory for many-body systems at positive temperature. As an application, we give a proof of the first two terms in a high density (and high temperature) expansion of the free energy of jellium with Coulomb interactions, both in the fermionic and bosonic case. For bosons, our method works above the transition temperature (for the non-interacting gas) for Bose-Einstein condensation.
Keywords: Bose-Einstein condensation; Thermodynamic limit; Correlation inequality; Jellium; Quantum many-body system; Quasi-free states
Journal Title: Reviews in Mathematical Physics
Volume: 18
Issue 3
ISSN: 0129-055X
Publisher: World Scientific Publishing  
Date Published: 2006-04-01
Start Page: 233
End Page: 253
URL:
DOI: 10.1142/S0129055X06002632
Open access: yes (repository)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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