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Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes.

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Title: Quantum statistical mechanics of the Sachdev-Ye-Kitaev model and charged black holes.
Authors: Sachdev, Subir1 (AUTHOR) sachdev@g.harvard.edu
Source: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics. 12/30/2024, Vol. 38 Issue 32, p1-24. 24p.
Subjects: Thermodynamics, Conformal field theory, Energy levels (Quantum mechanics), Quantum entropy, Black holes, Quasiparticles
Abstract: This review is a contribution to a book dedicated to the memory of Michael E. Fisher. The first example of a quantum many body system not expected to have any quasiparticle excitations was the Wilson-Fisher conformal field theory. The absence of quasiparticles can be established in the compressible, metallic state of the Sachdev-Ye-Kitaev model of fermions with random interactions. The solvability of the latter model has enabled numerous computations of the non-quasiparticle dynamics of chaotic many-body states, such as those expected to describe quantum black holes. We review thermodynamic properties of the SYK model, and describe how they have led to an understanding of the universal structure of the low energy density of states of charged black holes without low energy supersymmetry. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This review is a contribution to a book dedicated to the memory of Michael E. Fisher. The first example of a quantum many body system not expected to have any quasiparticle excitations was the Wilson-Fisher conformal field theory. The absence of quasiparticles can be established in the compressible, metallic state of the Sachdev-Ye-Kitaev model of fermions with random interactions. The solvability of the latter model has enabled numerous computations of the non-quasiparticle dynamics of chaotic many-body states, such as those expected to describe quantum black holes. We review thermodynamic properties of the SYK model, and describe how they have led to an understanding of the universal structure of the low energy density of states of charged black holes without low energy supersymmetry. [ABSTRACT FROM AUTHOR]
ISSN:02179792
DOI:10.1142/S0217979224300032