Dutta, S.; Das, R.N.; Maji, A. Generalized Out-of-Time-Order Correlator in Supersymmetric Quantum Mechanics Using Tensor Product Formalism. Preprints2020, 2020100293
APA Style
Dutta, S., Das, R.N., & Maji, A. (2020). Generalized Out-of-Time-Order Correlator in Supersymmetric Quantum Mechanics Using Tensor Product Formalism. Preprints. https://doi.org/
Chicago/Turabian Style
Dutta, S., Rathindra Nath Das and Archana Maji. 2020 "Generalized Out-of-Time-Order Correlator in Supersymmetric Quantum Mechanics Using Tensor Product Formalism" Preprints. https://doi.org/
Abstract
In this article we study the presence of chaos in supersymmetric(SUSY) quantum mechanics. For that purpose we present a form of 4-point out of time order correlator(OTOC) for SUSY quantum mechanical systems using tensor product formalism. We calculate the 4-point OTOC for SUSY 1D harmonic oscillator and find that the OTOC is exactly equal to that of 1D bosonic harmonic oscillator system. In similar manner using the eigenstate representation of supersymmetric systems we calculate the generalized higher order out of time order correlator. The higher order OTOC is a more sensitive measure of chaos than the usual 4-point correlator used in literature. Finally, we calculate the generalized 2N-point OTOC for SUSY 1D harmonic oscillator.
Keywords
quantum chaos; out of time order correlator (OTOC); supersymmetric quantum mechanics; tensor product formalism; harmonic oscillator
Subject
Physical Sciences, Acoustics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
