Quantum chaotic system as a model of decohering environment

TL;DR

This paper demonstrates that quantum chaotic systems can serve as effective models for decohering environments, behaving similarly to many-body systems, and can induce decoherence and entanglement in coupled qubits.

Contribution

It introduces an approximate formula for the evolution of a system's density matrix interacting with a quantum chaotic environment and validates it through numerical simulations.

Findings

Quantum chaotic systems act as efficient decoherers.

They can generate entanglement between non-interacting qubits.

Theoretical results are supported by numerical simulations.

Abstract

As a model of decohering environment, we show that quantum chaotic system behave equivalently as 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 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 efficient decoherer, and it can generate entanglement between the two qubits which have no direct interaction.