dorsal/arxiv
View SchemaGeneralized Entanglement as a Natural Framework for Exploring Quantum Chaos
| Authors | Yaakov S. Weinstein, Lorenza Viola |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603071 |
| URL | https://arxiv.org/abs/quant-ph/0603071 |
| DOI | 10.1209/epl/i2006-10354-7 |
| Journal | Europhys. Lett. 76, 746 (2006) |
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.
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"abstract": "We demonstrate that generalized entanglement [Barnum {\\em et al.}, Phys. Rev.\nA {\\bf 68}, 032308 (2003)] provides a natural and reliable indicator of quantum\nchaotic behavior. Since generalized entanglement depends directly on a choice\nof preferred observables, exploring how generalized entanglement increases\nunder dynamical evolution is possible without invoking an auxiliary coupled\nsystem or decomposing the system into arbitrary subsystems. We find that, in\nthe chaotic regime, the long-time saturation value of generalized entanglement\nagrees with random matrix theory predictions. For our system, we provide\nphysical intuition into generalized entanglement within a single system by\ninvoking the notion of extent of a state. The latter, in turn, is related to\nother signatures of quantum chaos.",
"arxiv_id": "quant-ph/0603071",
"authors": [
"Yaakov S. Weinstein",
"Lorenza Viola"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/epl/i2006-10354-7",
"journal_ref": "Europhys. Lett. 76, 746 (2006)",
"title": "Generalized Entanglement as a Natural Framework for Exploring Quantum Chaos",
"url": "https://arxiv.org/abs/quant-ph/0603071"
},
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