The free energy of a quantum Sherrington-Kirkpatrick spin-glass model for weak disorder

We extend two rigorous results of Aizenman, Lebowitz, and Ruelle in their pioneering paper of 1987 on the Sherrington-Kirkpatrick spin-glass model without external magnetic field to the quantum case with a "transverse field" of strength \(b\). More precisely, if the Gaussian disorder is we...

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Veröffentlicht in:	arXiv.org 2021-10
Hauptverfasser:	Leschke, Hajo, Rothlauf, Sebastian, Ruder, Rainer, Spitzer, Wolfgang
Format:	Artikel
Sprache:	eng
Schlagworte:	Annealing Beta Commutativity Free energy Functionals Magnetic fields Mathematical functions Mathematics - Mathematical Physics Mathematics - Probability Operators (mathematics) Physics - Disordered Systems and Neural Networks Physics - Mathematical Physics Physics - Statistical Mechanics Spin glasses
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