Geometric phase curvature for random states

DOI10.1088/1751-8121/aae5ddzbMath1411.82034OpenAlexW2894611858MaRDI QIDQ4629582

M. V. Berry, Pragya Shukla

Publication date: 27 March 2019

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

Full work available at URL: https://semanticscholar.org/paper/95804b0cc3e85db93a3d0119ede1f85ad2f863df

zbMATH Keywords

quantum statistics2-formrandom-matrix

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Transport processes in time-dependent statistical mechanics (82C70) Random matrices (algebraic aspects) (15B52) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items

Quantum metric statistics for random-matrix families, Geometric phase curvature statistics

Cites Work

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• Effective Action for Adiabatic Process: Dynamical Meaning of Berry and Simon's Phase
• Screening of charged singularities of random fields
• Quantal phase factors accompanying adiabatic changes