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Title: Integrable matrix theory: Level statistics

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Publisher's Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Name: Physical Review E Journal Volume: 94 Journal Issue: 3; Journal ID: ISSN 2470-0045
American Physical Society
Country of Publication:
United States

Citation Formats

Scaramazza, Jasen A., Shastry, B. Sriram, and Yuzbashyan, Emil A. Integrable matrix theory: Level statistics. United States: N. p., 2016. Web. doi:10.1103/PhysRevE.94.032106.
Scaramazza, Jasen A., Shastry, B. Sriram, & Yuzbashyan, Emil A. Integrable matrix theory: Level statistics. United States.
Scaramazza, Jasen A., Shastry, B. Sriram, and Yuzbashyan, Emil A. Fri . "Integrable matrix theory: Level statistics". United States.
title = {Integrable matrix theory: Level statistics},
author = {Scaramazza, Jasen A. and Shastry, B. Sriram and Yuzbashyan, Emil A.},
abstractNote = {},
doi = {10.1103/PhysRevE.94.032106},
journal = {Physical Review E},
number = 3,
volume = 94,
place = {United States},
year = {2016},
month = {9}

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Works referenced in this record:

Local Conservation Laws and the Structure of the Many-Body Localized States
journal, September 2013

A statistical measure for the repulsion of energy levels
journal, July 1973

  • Brody, T. A.
  • Lettere Al Nuovo Cimento Series 2, Vol. 7, Issue 12
  • DOI: 10.1007/BF02727859

Many-body localization phase transition
journal, November 2010

Localization of interacting fermions at high temperature
journal, April 2007

Classification of parameter-dependent quantum integrable models, their parameterization, exact solution and other properties
journal, September 2011

Level Clustering in the Regular Spectrum
journal, September 1977

  • Berry, M. V.; Tabor, M.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 356, Issue 1686
  • DOI: 10.1098/rspa.1977.0140

Level density fluctuations and random matrix theory
journal, February 1975

Spectral Statistics of Acoustic Resonances in Aluminum Blocks
journal, August 1995

Random-matrix theories in quantum physics: common concepts
journal, June 1998

Random-matrix physics: spectrum and strength fluctuations
journal, July 1981

Rotationally invariant ensembles of integrable matrices
journal, May 2016

  • Yuzbashyan, Emil A.; Shastry, B. Sriram; Scaramazza, Jasen A.
  • Physical Review E, Vol. 93, Issue 5
  • DOI: 10.1103/PhysRevE.93.052114

The origin of degeneracies and crossings in the 1d Hubbard model
journal, August 2002

  • Yuzbashyan, Emil A.; Altshuler, Boris L.; Shastry, B. Sriram
  • Journal of Physics A: Mathematical and General, Vol. 35, Issue 34
  • DOI: 10.1088/0305-4470/35/34/319

Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006

Statistical Properties of Inter-Series Mixing in Helium: From Integrability to Chaos
journal, April 2001

Spectral Statistics of Chaotic Systems with a Pointlike Scatterer
journal, September 2000

Integrals of motion for one-dimensional Anderson localized systems
journal, March 2016

Stringent numerical test of the Poisson distribution for finite quantum integrable Hamiltonians
journal, August 2004

A class of parameter-dependent commuting matrices
journal, May 2005

‘‘Quantum’’ chaos in billiards studied by microwave absorption
journal, May 1990

Spectral fluctuation properties of Hamiltonian systems: the transition region between order and chaos
journal, October 1985

  • Seligman, T. H.; Verbaarschot, J. J. M.; Zirnbauer, M. R.
  • Journal of Physics A: Mathematical and General, Vol. 18, Issue 14
  • DOI: 10.1088/0305-4470/18/14/026

Remarks on the notion of quantum integrability
journal, February 2011

"Repulsion of Energy Levels" in Complex Atomic Spectra
journal, December 1960

Parameter-dependent commuting matrices, Plücker relations and related quantum glass models
journal, January 2011

Crossover from Poisson to Wigner-Dyson level statistics in spin chains with integrability breaking
journal, February 2004

Quantum Integrability in Systems with Finite Number of Levels
journal, January 2013

Poisson vs. GOE Statistics in Integrable and Non-Integrable Quantum Hamiltonians
journal, June 1993

The link between integrability, level crossings and exact solution in quantum models
journal, December 2008

  • Owusu, H. K.; Wagh, K.; Yuzbashyan, E. A.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 3
  • DOI: 10.1088/1751-8113/42/3/035206

A random matrix model with localization and ergodic transitions
journal, December 2015

Shifts of Random Energy Levels by a Local Perturbation
journal, January 1998