dorsal/arxiv
View SchemaExact Solutions of the Caldeira-Leggett Master Equation: A Factorization Theorem For Decoherence
| Authors | S. M. Roy, Anu Venugopalan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910004 |
| URL | https://arxiv.org/abs/quant-ph/9910004 |
Abstract
Exact solutions of the Caldeira-Leggett Master equation for the reduced density matrix for a free particle and for a harmonic oscillator system coupled to a heat bath of oscillators are obtained for arbitrary initial conditions. The solutions prove that the Fourier transform of the density matrix at time t with respect to (x + x')/2, where x and x' are the initial and final coordinates, factorizes exactly into a part depending linearly on the initial density matrix and a part independent of it. The theorem yields the exact initial state dependence of the density operator at time t and its eventual diagonalization in the energy basis.
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"abstract": "Exact solutions of the Caldeira-Leggett Master equation for the reduced\ndensity matrix for a free particle and for a harmonic oscillator system coupled\nto a heat bath of oscillators are obtained for arbitrary initial conditions.\nThe solutions prove that the Fourier transform of the density matrix at time t\nwith respect to (x + x\u0027)/2, where x and x\u0027 are the initial and final\ncoordinates, factorizes exactly into a part depending linearly on the initial\ndensity matrix and a part independent of it. The theorem yields the exact\ninitial state dependence of the density operator at time t and its eventual\ndiagonalization in the energy basis.",
"arxiv_id": "quant-ph/9910004",
"authors": [
"S. M. Roy",
"Anu Venugopalan"
],
"categories": [
"quant-ph"
],
"title": "Exact Solutions of the Caldeira-Leggett Master Equation: A Factorization Theorem For Decoherence",
"url": "https://arxiv.org/abs/quant-ph/9910004"
},
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