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Title: Integrable matrix theory: Level statistics

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1315855
Grant/Contract Number:  
FG02-06ER46319
Resource Type:
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
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

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. doi:10.1103/PhysRevE.94.032106.
Scaramazza, Jasen A., Shastry, B. Sriram, and Yuzbashyan, Emil A. Fri . "Integrable matrix theory: Level statistics". United States. doi:10.1103/PhysRevE.94.032106.
@article{osti_1315855,
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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevE.94.032106

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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


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


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


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


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


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


Remarks on the notion of quantum integrability
journal, February 2011


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