Related papers: Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos

Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos

URL: http://arxiv.org/abs/2011.04705v2
Date: Tue, 24 Aug 2021 19:04:46 GMT
Title: Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
Authors: Arpan Bhattacharyya, S. Shajidul Haque and Eugene H. Kim
Abstract summary: We take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix by exploring different types of quantum circuits. Through explicit calculations on a toy model of two coupled harmonic oscillators, where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is a possible diagnostic of chaos.

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