Quantum resonant systems, integrable and chaotic

DOI10.1088/1751-8121/aaf2a1zbMath1422.81114arXiv1808.09173OpenAlexW3098911557WikidataQ128890426 ScholiaQ128890426MaRDI QIDQ5235186

Worapat Piensuk, Oleg Evnin

Publication date: 7 October 2019

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09173

zbMATH Keywords

integrabilityquantum field theoryturbulencerandom matrix theoryquantum chaosspectral statistics

Mathematics Subject Classification ID

Inference from stochastic processes and spectral analysis (62M15) Model quantum field theories (81T10) Nuclear physics (81V35) Quantum chaos (81Q50) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Random matrices (algebraic aspects) (15B52) Resonance in context of PDEs (35B34) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Uses Software

• FORM

Cites Work

• FORM version 4.0
• The complete 1/\(N\) expansion of a SYK-like tensor model
• Spectral properties of the \(k\)-body embedded Gaussian ensembles of random matrices for bosons
• On the continuous resonant equation for NLS. I: Deterministic analysis.
• The spectrum in the Sachdev-Ye-Kitaev model
• Quantum chaos and holographic tensor models
• Maximally rotating waves in AdS and on spheres
• A nonrelativistic limit for AdS perturbations
• Stationary states of the cubic conformal flow on \(\mathbb{S}^3\)
• Melonic turbulence
• Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\)
• Embedded random matrix ensembles in quantum physics
• Non-extensive random matrix theory -- a bridge connecting chaotic and regular dynamics
• Strength functions for interacting bosons in a mean-field with random two-body interactions
• AdS (in)stability: an analytic approach
• On the high frequency limit of the LLL equation
• One- plus two-body random matrix ensembles for boson systems withF-spin: analysis using spectral variances
• Equidistant spectra of anharmonic oscillators
• Level clustering in the regular spectrum
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• An explicit formula for the cubic Szegő equation
• An SYK-like model without disorder
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• Unnamed Item
• Unnamed Item