dorsal/arxiv
View SchemaRandom Lindblad equations from complex environments
| Authors | Adrian A. Budini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510085 |
| URL | https://arxiv.org/abs/quant-ph/0510085 |
| DOI | 10.1103/PhysRevE.72.056106 |
| Journal | Phys. Rev E 72, 056106 (2005) |
Abstract
In this paper we demonstrate that Lindblad equations characterized by a random rate variable arise after tracing out a complex structured reservoir. Our results follows from a generalization of the Born-Markov approximation, which relies in the possibility of splitting the complex environment in a direct sum of sub-reservoirs, each one being able to induce by itself a Markovian system evolution. Strong non-Markovian effects, which microscopically originate from the entanglement with the different sub-reservoirs, characterize the average system decay dynamics. As an example, we study the anomalous irreversible behavior of a quantum tunneling system described in an effective two level approximation. Stretched exponential and power law decay behaviors arise from the interplay between the dissipative and unitary hopping dynamics.
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"abstract": "In this paper we demonstrate that Lindblad equations characterized by a\nrandom rate variable arise after tracing out a complex structured reservoir.\nOur results follows from a generalization of the Born-Markov approximation,\nwhich relies in the possibility of splitting the complex environment in a\ndirect sum of sub-reservoirs, each one being able to induce by itself a\nMarkovian system evolution. Strong non-Markovian effects, which microscopically\noriginate from the entanglement with the different sub-reservoirs, characterize\nthe average system decay dynamics. As an example, we study the anomalous\nirreversible behavior of a quantum tunneling system described in an effective\ntwo level approximation. Stretched exponential and power law decay behaviors\narise from the interplay between the dissipative and unitary hopping dynamics.",
"arxiv_id": "quant-ph/0510085",
"authors": [
"Adrian A. Budini"
],
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"quant-ph"
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"doi": "10.1103/PhysRevE.72.056106",
"journal_ref": "Phys. Rev E 72, 056106 (2005)",
"title": "Random Lindblad equations from complex environments",
"url": "https://arxiv.org/abs/quant-ph/0510085"
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