Quantum chaotic system as a model of decohering environmentJayendra N. Bandyopadhyay
Max-Planck Institute for the Physics of Complex Systems - Nöthnitzerstr. 38, D-01187 Dresden, Germany, EU
received 22 December 2008; accepted in final form 11 February 2009; published March 2009
published online 19 March 2009
As a model of decohering environment, we show that a quantum chaotic system behaves equivalently as a many-body system. An approximate formula for the time evolution of the reduced density matrix of a system interacting with a quantum chaotic environment is derived. This theoretical formulation is substantiated by the numerical study of the decoherence of two qubits interacting with a quantum chaotic environment modeled by a chaotic kicked top. Like the many-body model of environment, the quantum chaotic system is an efficient decoherer, and it can generate entanglement between the two qubits which have no direct interaction.
05.45.Mt - Quantum chaos; semiclassical methods.
03.65.Yz - Decoherence; open systems; quantum statistical methods.
03.67.-a - Quantum information.
© EPLA 2009