Persistent Entanglement in the Classical Limit

Abstract

The apparent difficulty in recovering classical nonlinear dynamics and chaos from standard quantum mechanics has been the subject of a great deal of interest over the last twenty years. For open quantum systems - those coupled to a dissipative environment and/or a measurement device - it has been demonstrated that chaotic-like behaviour can be recovered in the appropriate classical limit. In this paper, we investigate the entanglement generated between two nonlinear oscillators, coupled to each other and to their environment. Entanglement - the inability to factorise coupled quantum systems into their constituent parts - is one of the defining features of quantum mechanics. Indeed, it underpins many of the recent developments in quantum technologies. Here we show that the entanglement characteristics of two `classical' states (chaotic and periodic solutions) differ significantly in the classical limit. In particular, we show that significant levels of entanglement are preserved only in the chaotic-like solutions.

5 pages, 4 figures. Added results for quantum jumps to supplement existing QSD results

References in corpus (7)

• Concentrating Partial Entanglement by Local Operations
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• Quantum Trajectories and Quantum Measurement Theory
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Cited by in corpus (12)

• A Straightforward Introduction to Continuous Quantum Measurement
• Quantum synchronization
• Continuous Measurement of a Non-Markovian Open Quantum System
• Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects
• Multi-parameter estimation along quantum trajectories with Sequential Monte Carlo methods
• Dynamical model selection near the quantum-classical boundary
• Signatures of chaotic and non-chaotic-like behaviour in a non-linear quantum oscillator through photon detection
• Recovery of classical chaotic-like behaviour in a quantum three-body problem
• Observing quantum chaos with noisy measurements and highly mixed states
• Fermi's golden rule, the origin and breakdown of Markovian master equations, and the relationship between oscillator baths and the random matrix model
• Persistent entanglement in two coupled SQUID rings in the quantum to classical transition - A quantum jumps approach
• Conditions for the Quantum to Classical Transition: Trajectories vs. Phase Space Distributions