Random k-Body Ensembles for Chaos and Thermalization in Isolated 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) va...
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| Format: | Article |
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MDPI AG
2018-07-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/7/541 |
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| author | Venkata Krishna Brahmam Kota Narendra D. Chavda |
| author_facet | Venkata Krishna Brahmam Kota Narendra D. Chavda |
| author_sort | Venkata Krishna Brahmam Kota |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T20:40:11Z |
| format | Article |
| id | doaj.art-d9d05e66ce5f456685befde946420514 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T20:40:11Z |
| publishDate | 2018-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d9d05e66ce5f456685befde9464205142022-12-22T04:04:14ZengMDPI AGEntropy1099-43002018-07-0120754110.3390/e20070541e20070541Random k-Body Ensembles for Chaos and Thermalization in Isolated SystemsVenkata Krishna Brahmam Kota0Narendra D. Chavda1Theoretical Physics Division, Physical Research Laboratory, Ahmedabad 380009, IndiaDepartment of Applied Physics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390001, IndiaEmbedded 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.http://www.mdpi.com/1099-4300/20/7/541embedded ensemblesk-body interactionslie algebrasfermionsbosonsthermalizationfidelityq-hermite polynomials |
| spellingShingle | Venkata Krishna Brahmam Kota Narendra D. Chavda Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems Entropy embedded ensembles k-body interactions lie algebras fermions bosons thermalization fidelity q-hermite polynomials |
| title | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
| title_full | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
| title_fullStr | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
| title_full_unstemmed | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
| title_short | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
| title_sort | random k body ensembles for chaos and thermalization in isolated systems |
| topic | embedded ensembles k-body interactions lie algebras fermions bosons thermalization fidelity q-hermite polynomials |
| url | http://www.mdpi.com/1099-4300/20/7/541 |
| work_keys_str_mv | AT venkatakrishnabrahmamkota randomkbodyensemblesforchaosandthermalizationinisolatedsystems AT narendradchavda randomkbodyensemblesforchaosandthermalizationinisolatedsystems |