dorsal/arxiv
View SchemaThe rise and fall of quantum and classical correlations in open-system dynamics
| Authors | Michael Khasin, Ronnie Kosloff |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605140 |
| URL | https://arxiv.org/abs/quant-ph/0605140 |
| DOI | 10.1103/PhysRevA.76.012304 |
| Journal | Phys. Rev. A 76, 012304 (2007) |
Abstract
Interacting quantum systems evolving from an uncorrelated composite initial state generically develop quantum correlations -- entanglement. As a consequence, a local description of interacting quantum system is impossible as a rule. A unitarily evolving (isolated) quantum system generically develops extensive entanglement: the magnitude of the generated entanglement will increase without bounds with the effective Hilbert space dimension of the system. It is conceivable, that coupling of the interacting subsystems to local dephasing environments will restrict the generation of entanglement to such extent, that the evolving composite system may be considered as approximately disentangled. This conjecture is addressed in the context of some common models of a bipartite system with linear and nonlinear interactions and local coupling to dephasing environments. Analytical and numerical results obtained imply that the conjecture is generally false. Open dynamics of the quantum correlations is compared to the corresponding evolution of the classical correlations and a qualitative difference is found.
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"abstract": "Interacting quantum systems evolving from an uncorrelated composite initial\nstate generically develop quantum correlations -- entanglement. As a\nconsequence, a local description of interacting quantum system is impossible as\na rule. A unitarily evolving (isolated) quantum system generically develops\nextensive entanglement: the magnitude of the generated entanglement will\nincrease without bounds with the effective Hilbert space dimension of the\nsystem. It is conceivable, that coupling of the interacting subsystems to local\ndephasing environments will restrict the generation of entanglement to such\nextent, that the evolving composite system may be considered as approximately\ndisentangled. This conjecture is addressed in the context of some common models\nof a bipartite system with linear and nonlinear interactions and local coupling\nto dephasing environments. Analytical and numerical results obtained imply that\nthe conjecture is generally false. Open dynamics of the quantum correlations is\ncompared to the corresponding evolution of the classical correlations and a\nqualitative difference is found.",
"arxiv_id": "quant-ph/0605140",
"authors": [
"Michael Khasin",
"Ronnie Kosloff"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.76.012304",
"journal_ref": "Phys. Rev. A 76, 012304 (2007)",
"title": "The rise and fall of quantum and classical correlations in open-system dynamics",
"url": "https://arxiv.org/abs/quant-ph/0605140"
},
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