Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems
1
Theoretical Physics Division, Physical Research Laboratory, Ahmedabad 380009, India
2
Department of Applied Physics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390001, India
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(7), 541; https://doi.org/10.3390/e20070541
Received: 7 June 2018 / Revised: 13 July 2018 / Accepted: 16 July 2018 / Published: 20 July 2018
(This article belongs to the Special Issue Thermalization in Isolated Quantum Systems)
Embedded ensembles or random matrix ensembles generated by k-body interactions acting in many-particle spaces are now well established to be paradigmatic models for many-body chaos and thermalization in isolated finite quantum (fermion or boson) systems. In this article, briefly discussed are (i) various embedded ensembles with Lie algebraic symmetries for fermion and boson systems and their extensions (for Majorana fermions, with point group symmetries etc.); (ii) results generated by these ensembles for various aspects of chaos, thermalization and statistical relaxation, including the role of q-hermite polynomials in k-body ensembles; and (iii) analyses of numerical and experimental data for level fluctuations for trapped boson systems and results for statistical relaxation and decoherence in these systems with close relations to results from embedded ensembles.
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Keywords:
embedded ensembles; k-body interactions; lie algebras; fermions; bosons; thermalization; fidelity; q-hermite polynomials
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MDPI and ACS Style
Kota, V.K.B.; Chavda, N.D. Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems. Entropy 2018, 20, 541. https://doi.org/10.3390/e20070541
AMA Style
Kota VKB, Chavda ND. Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems. Entropy. 2018; 20(7):541. https://doi.org/10.3390/e20070541
Chicago/Turabian StyleKota, Venkata K.B.; Chavda, Narendra D. 2018. "Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems" Entropy 20, no. 7: 541. https://doi.org/10.3390/e20070541
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