Complexity from the reduced density matrix: a new diagnostic for chaos

Autor: Arpan Bhattacharyya, S. Shajidul Haque, Eugene H. Kim
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 10, Pp 1-23 (2021)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2021)028
Popis: 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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