Generalized Entanglement as a Natural Framework for Exploring Quantum Chaos

Abstract

We demonstrate that generalized entanglement [Barnum {\em et al.}, Phys. Rev. A {\bf 68}, 032308 (2003)] provides a natural and reliable indicator of quantum chaotic behavior. Since generalized entanglement depends directly on a choice of preferred observables, exploring how generalized entanglement increases under dynamical evolution is possible without invoking an auxiliary coupled system or decomposing the system into arbitrary subsystems. We find that, in the chaotic regime, the long-time saturation value of generalized entanglement agrees with random matrix theory predictions. For our system, we provide physical intuition into generalized entanglement within a single system by invoking the notion of extent of a state. The latter, in turn, is related to other signatures of quantum chaos.

clarified and expanded version accepted by Europhys. Lett

References in corpus (4)

• Entangling power of the quantum baker's map
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Cited by in corpus (3)

• Chaos, entanglement and decoherence in the quantum kicked top
• Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
• Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures