Working Paper Article Version 1 This version is not peer-reviewed

Generalized Out-of-Time-Order Correlator in Supersymmetric Quantum Mechanics Using Tensor Product Formalism

Version 1 : Received: 13 October 2020 / Approved: 14 October 2020 / Online: 14 October 2020 (09:17:18 CEST)

How to cite: Dutta, S.; Das, R.N.; Maji, A. Generalized Out-of-Time-Order Correlator in Supersymmetric Quantum Mechanics Using Tensor Product Formalism. Preprints 2020, 2020100293 Dutta, S.; Das, R.N.; Maji, A. Generalized Out-of-Time-Order Correlator in Supersymmetric Quantum Mechanics Using Tensor Product Formalism. Preprints 2020, 2020100293

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.

Subject Areas

quantum chaos; out of time order correlator (OTOC); supersymmetric quantum mechanics; tensor product formalism; harmonic oscillator

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.