Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2021)028
Keywords
AdS-CFT Correspondence; Gauge-gravity correspondence
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Funding
- Department of Science & Technology Science and Engineering Research Board (India) [SRG/2020/001380]
- University of Cape Town
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This research investigates circuit complexity to characterize chaos in multiparticle quantum systems and proposes a new diagnostic of quantum chaos based on complexity. Through explicit calculations on a toy model, the evolution of complexity is demonstrated as a possible diagnostic of chaos.
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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