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 20 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 factorize 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.
Highlights
The correspondence principle is one of the fundamental building blocks of modern physics
We deal with an associated problem, namely nonlinear behaviour of quantum systems that are coupled to an environment
The first approach, based on work by Feynman and Vernon [3], treats the environment as a source of dissipation and decoherence and calculates the average evolution of the quantum system by integrating the environmental degrees of freedom. This provides a good method for large ensembles of quantum systems, but the average evolution does not reflect all types of nonlinear behaviour, such as chaos
Summary
This article has been downloaded from IOPscience. Please scroll down to see the full text article. 7 64 (http://iopscience.iop.org/1367-2630/7/1/064) View the table of contents for this issue, or go to the journal homepage for more. Received 16 November 2004 Published 18 February 2005 Online at http://www.njp.org/
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