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  The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions

Bhagat, K. Y., Bose, B., Choudhury, S., Chowdhury, S., Das, R. N., Dastider, S. G., et al. (2021). The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions. Symmetry, 13 (1): 44. doi:10.3390/sym13010044.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-EFC0-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0007-AF29-7
Genre: Journal Article

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Bhagat, Kaushik Y., Author
Bose, Baibhab, Author
Choudhury, Sayantan1, Author              
Chowdhury, Satyaki, Author
Das, Rathindra N., Author
Dastider, Saptarshhi G., Author
Gupta, Nitin, Author
Maji, Archana, Author
Pasquino, Gabriel D., Author
Paul, Swaraj, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Disordered Systems and Neural Networks, cond-mat.dis-nn,General Relativity and Quantum Cosmology, gr-qc,Nonlinear Sciences, Chaotic Dynamics, nlin.CD,Quantum Physics, quant-ph
 Abstract: 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.

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 Dates: 2020-08-062021
 Publication Status: Published in print
 Pages: 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
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 Identifiers: arXiv: 2008.03280
URI: http://arxiv.org/abs/2008.03280
DOI: 10.3390/sym13010044
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Title: Symmetry
Source Genre: Journal
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Pages: - Volume / Issue: 13 (1) Sequence Number: 44 Start / End Page: - Identifier: -