The Generalized OTOC from Supersymmetric Quantum Mechanics—Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
| Autor: | Sayantan Choudhury, Archana Maji, Swaraj Paul, Gabriel D. Pasquino, Kaushik Y. Bhagat, Satyaki Chowdhury, Baibhab Bose, Saptarshhi G. Dastider, Nitin Gupta, Rathindra Nath Das |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics and Astronomy (miscellaneous) General Mathematics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Quantum indeterminacy Classical limit symbols.namesake Theoretical physics 0103 physical sciences Computer Science (miscellaneous) Supersymmetric quantum mechanics 010306 general physics Quantum statistical mechanics Quantum Physics Quantum Physics 010308 nuclear & particles physics lcsh:Mathematics Disordered Systems and Neural Networks (cond-mat.dis-nn) Supersymmetry Condensed Matter - Disordered Systems and Neural Networks Nonlinear Sciences - Chaotic Dynamics lcsh:QA1-939 out-of-equilibrium quantum statistical mechanics High Energy Physics - Theory (hep-th) Chemistry (miscellaneous) Phase space OTOC symbols Chaotic Dynamics (nlin.CD) supersymmetry Quantum Physics (quant-ph) Hamiltonian (quantum mechanics) |
| Zdroj: | Symmetry, Vol 13, Iss 44, p 44 (2021) Symmetry Volume 13 Issue 1 |
| ISSN: | 2073-8994 |
| Popis: | The concept of out-of-time-ordered correlation (OTOC) function is treated as a very strong theoretical probe of quantum randomness, using which one can study both chaotic and non-chaotic phenomena in the context of quantum statistical mechanics. In this paper, we define a general class of OTOC, which can perfectly capture quantum randomness phenomena in a better way. Further we demonstrate an equivalent formalism of computation using a general time independent Hamiltonian having well defined eigenstate representation for integrable supersymmetric quantum systems. We found that one needs to consider two new correlators apart from the usual one to have a complete quantum description. To visualize the impact of the given formalism we consider the two well known models viz. Harmonic Oscillator and one dimensional potential well within the framework of supersymmetry. For the Harmonic Oscillator case we obtain similar periodic time dependence but dissimilar parameter dependences compared to the results obtained from both micro-canonical and canonical ensembles in quantum mechanics without supersymmetry. On the other hand, for one dimensional potential well problem we found significantly different time scale and the other parameter dependence compared to the results obtained from non-supersymmetric quantum mechanics. Finally, to establish the consistency of the prescribed formalism in the classical limit, we demonstrate the phase space averaged version of the classical version of OTOCs from a model independent Hamiltonian along with the previously mentioned these well cited models. Comment: 125 pages, 40 figures, This project is the part of the non-profit virtual international research consortium "Quantum Aspects of Space-Time and Matter (QASTM)", We would like to dedicate this work for the people those who are helping us to fight against COVID-19 pandemic across the globe, Final published version |
| Databáze: | OpenAIRE |
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