Complexity from the reduced density matrix: a new diagnostic for chaos
Arpan Bhattacharyya, S. Shajidul Haque, Eugene H. Kim
Abstract
A bstract 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.
Topics & Concepts
PhysicsQuantum chaosQuantumStatistical physicsDensity matrixCHAOS (operating system)Quantum error correctionQuantum mechanicsQuantum operationQuantum processHarmonic oscillatorQuantum systemOpen quantum systemQuantum informationQuantum circuitQuantum dissipationTheoretical physicsMatrix (chemical analysis)Circuit complexityTopology (electrical circuits)Quantum dynamicsQuantum algorithmControl of chaosQuantum stateChaotic systemsQuantum discordHarmonicComputational complexity theoryQuantum many-body systemsQuantum chaos and dynamical systemsSpectroscopy and Quantum Chemical Studies