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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Persistent entanglement in the classical limit

M J Everitt1, T D Clark1, P B Stiffell1, J F Ralph2, A R Bulsara3 and C J Harland1

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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.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

05.45.Xt Synchronization; coupled oscillators

03.65.Yz Decoherence; open systems; quantum statistical methods

Subjects

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 1 (February 2005)

Received 16 November 2004

Published 18 February 2005



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