dorsal/arxiv
View SchemaDissipation and decoherence in a quantum oscillator
| Authors | Vinay Ambegaokar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506087 |
| URL | https://arxiv.org/abs/quant-ph/0506087 |
| DOI | 10.1007/s10955-005-8018-6 |
| Journal | J. Stat. Phys. 125, 1187 (2006). |
Abstract
The time development of the reduced density matrix for a quantum oscillator damped by coupling it to an ohmic environment is calculated via an identity of the Debye-Waller form. Results obtained some years ago by Hakim and the author in the free particle limit [1] are thus recovered. The evolution of a free particle in a prepared initial state is examined, and a previously published exchange [2,3] is illuminated with figures showing no decoherence without dissipation. [1] V. Hakim and V. Ambegaokar, Phys. Rev. A 32, 423 (1985). [2] G.W. Ford and R.F. O'Connell, Phys. Rev. A 70, 026102 (2004). [3] D. Gobert, J. von Delft, and V. Ambegaokar, Phys. Rev. A 70, 0261001 (2004).
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"abstract": "The time development of the reduced density matrix for a quantum oscillator\ndamped by coupling it to an ohmic environment is calculated via an identity of\nthe Debye-Waller form. Results obtained some years ago by Hakim and the author\nin the free particle limit [1] are thus recovered. The evolution of a free\nparticle in a prepared initial state is examined, and a previously published\nexchange [2,3] is illuminated with figures showing no decoherence without\ndissipation.\n [1] V. Hakim and V. Ambegaokar, Phys. Rev. A 32, 423 (1985). [2] G.W. Ford\nand R.F. O\u0027Connell, Phys. Rev. A 70, 026102 (2004). [3] D. Gobert, J. von\nDelft, and V. Ambegaokar, Phys. Rev. A 70, 0261001 (2004).",
"arxiv_id": "quant-ph/0506087",
"authors": [
"Vinay Ambegaokar"
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"doi": "10.1007/s10955-005-8018-6",
"journal_ref": "J. Stat. Phys. 125, 1187 (2006).",
"title": "Dissipation and decoherence in a quantum oscillator",
"url": "https://arxiv.org/abs/quant-ph/0506087"
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