dorsal/arxiv
View SchemaDecoherence and Dissipation in Quantum Two-State Systems
| Authors | M. Grigorescu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9709033 |
| URL | https://arxiv.org/abs/quant-ph/9709033 |
| DOI | 10.1016/S0378-4371(98)00076-4 |
| Journal | Physica A256 (1998) 149-162 |
Abstract
The Brownian dynamics of the density operator for a quantum system interacting with a classical heat bath is described using a stochastic, non-linear Liouville equation obtained from a variational principle. The environment's degrees of freedom are simulated by classical harmonic oscillators, while the dynamical variables of the quantum system are two non-hermitian "square root operators" defined by a Gauss-like decomposition of the density operator. The rate of the noise-induced transitions is expressed as a function of the environmental spectral density, and is discussed for the case of the white noise and blackbody radiation. The result is compared with the rate determined by a quantum environment, calculated by partial tracing in the whole Hilbert space. The time-dependence of the von Neumann entropy and of the dissipated energy is obtained numerically for a system of two quantum states. These are the ground and first excited state of the center of mass vibrations for an ion confined in a harmonic trap.
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"abstract": "The Brownian dynamics of the density operator for a quantum system\ninteracting with a classical heat bath is described using a stochastic,\nnon-linear Liouville equation obtained from a variational principle. The\nenvironment\u0027s degrees of freedom are simulated by classical harmonic\noscillators, while the dynamical variables of the quantum system are two\nnon-hermitian \"square root operators\" defined by a Gauss-like decomposition of\nthe density operator. The rate of the noise-induced transitions is expressed as\na function of the environmental spectral density, and is discussed for the case\nof the white noise and blackbody radiation. The result is compared with the\nrate determined by a quantum environment, calculated by partial tracing in the\nwhole Hilbert space. The time-dependence of the von Neumann entropy and of the\ndissipated energy is obtained numerically for a system of two quantum states.\nThese are the ground and first excited state of the center of mass vibrations\nfor an ion confined in a harmonic trap.",
"arxiv_id": "quant-ph/9709033",
"authors": [
"M. Grigorescu"
],
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"quant-ph",
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"doi": "10.1016/S0378-4371(98)00076-4",
"journal_ref": "Physica A256 (1998) 149-162",
"title": "Decoherence and Dissipation in Quantum Two-State Systems",
"url": "https://arxiv.org/abs/quant-ph/9709033"
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