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| related topics |
| {time, decoherence, evolution} |
| {equation, function, exp} |
| {classical, space, random} |
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| {let, theorem, proof} |
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| {group, space, representation} |
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Random Lindblad equations from complex environments
Adrian A. Budini
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0510085
- categories:
- quant-ph
- comments:
- 11 pages, 4 figures, to be published in PRE
- doi:
- 10.1103/PhysRevE.72.056106
- arxiv_id:
- quant-ph/0510085
- journal_ref:
- Phys. Rev E 72, 056106 (2005)
- created:
- 2005-10-12
Full article ▸
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