The quantum random energy model as a limit of p-spin interactions
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Publication:5156028
DOI10.1142/S0129055X20600132zbMath1471.82026arXiv1912.02041MaRDI QIDQ5156028
Publication date: 14 October 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.02041
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)
Related Items (4)
Generalized random energy models in a transversal magnetic field: free energy and phase diagrams ⋮ Spectral analysis of the quantum random energy model ⋮ Free energy of the quantum Sherrington–Kirkpatrick spin-glass model with transverse field ⋮ The de Almeida-Thouless line in hierarchical quantum spin glasses
Cites Work
- Fluctuations of the free energy in the REM and the \(p\)-spin SK models
- Quantum Ising phases and transitions in transverse Ising models
- Phase diagram of the quantum random energy model
- The Parisi formula for mixed \(p\)-spin models
- Thermodynamics and universality for mean field quantum spin glasses
- The Parisi formula
- Statistical Mechanics of Disordered Systems
- Quantum Annealing of Hard Problems
- Random-energy model: An exactly solvable model of disordered systems
- Exponential vanishing of the ground-state gap of the quantum random energy model via adiabatic quantum computing
- The Sherrington-Kirkpatrick Model
- Free energy of the quantum Sherrington–Kirkpatrick spin-glass model with transverse field
- Generalized Alon--Boppana Theorems and Error-Correcting Codes
- Mean Field Models for Spin Glasses
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