dorsal/arxiv
View SchemaDecoherence in regular systems
| Authors | Marko Znidaric, Tomaz Prosen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503200 |
| URL | https://arxiv.org/abs/quant-ph/0503200 |
| DOI | 10.1088/1464-4266/7/9/012 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 7, 306-311 (2005) |
Abstract
We consider unitary evolution of finite bipartite quantum systems and study time dependence of purity for initial cat states -- coherent superpositions of Gaussian wave-packets. We derive explicit formula for purity in systems with nonzero time averaged coupling, a typical situation for systems where an uncoupled part of the Hamiltonian is Liouville integrable. Previous analytical studies have been limited to harmonic oscillator systems but with our theory we are able to derive analytical results for general integrable systems. Two regimes are clearly identified, at short times purity decays due to decoherence whereas at longer times it decays because of relaxation.
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"abstract": "We consider unitary evolution of finite bipartite quantum systems and study\ntime dependence of purity for initial cat states -- coherent superpositions of\nGaussian wave-packets. We derive explicit formula for purity in systems with\nnonzero time averaged coupling, a typical situation for systems where an\nuncoupled part of the Hamiltonian is Liouville integrable. Previous analytical\nstudies have been limited to harmonic oscillator systems but with our theory we\nare able to derive analytical results for general integrable systems. Two\nregimes are clearly identified, at short times purity decays due to decoherence\nwhereas at longer times it decays because of relaxation.",
"arxiv_id": "quant-ph/0503200",
"authors": [
"Marko Znidaric",
"Tomaz Prosen"
],
"categories": [
"quant-ph",
"nlin.SI"
],
"doi": "10.1088/1464-4266/7/9/012",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 7, 306-311 (2005)",
"title": "Decoherence in regular systems",
"url": "https://arxiv.org/abs/quant-ph/0503200"
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