Dynamical aspects of quantum entanglement for coupled mapping systems

Abstract

We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the entanglement production rate which is defined by using the linear entropy of the subsystem. This formula predicts that {\it the increment of the strength of chaos does not enhance the production rate of entanglement} when the coupling is weak enough and the subsystems are strongly chaotic. The prediction is confirmed by numerical experiments for coupled kicked tops and rotors. We also discuss the entanglement production using the Husimi representation of the reduced density matrix.

4 pages, 5 figures, submitted to the Waseda International Symposium on Fundamental Physics

References in corpus (4)

• Dynamical aspects of quantum entanglement for weakly coupled kicked tops
• Fidelity and Purity Decay in Weakly Coupled Composite Systems
• Saturation of the production of quantum entanglement between weakly coupled mapping systems in strongly chaotic region
• Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos

Cited by in corpus (5)

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• Linear and logarithmic entanglement production in an interacting chaotic system
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence
• Dynamics of wavepackets and entanglement in many-body kicked rotors under quantum resonance
• Signature candidate of quantum chaos far from the semiclassical regime