|
| related topics |
| {classical, space, random} |
| {energy, gaussian, time} |
| {time, decoherence, evolution} |
| {information, entropy, channel} |
| {entanglement, phys, rev} |
| {state, states, coherent} |
| {equation, function, exp} |
| {let, theorem, proof} |
| {cos, sin, state} |
| {operator, operators, space} |
|
An analytical relation between entropy production and quantum Lyapunov
exponents for Gaussian bipartite systems
K. M. Fonseca Romero, J. E. Parreira, L. A. M. Souza, M. C. Nemes, W. F. Wreszinski
abstract: We study and compare the information loss of a large class of Gaussian
bipartite systems. It includes the usual Caldeira-Leggett type model as well as
Anosov models (parametric oscillators, the inverted oscillator environment,
etc), which exhibit instability, one of the most important characteristics of
chaotic systems. We establish a rigorous connection between the quantum
Lyapunov exponents and coherence loss, and show that in the case of unstable
environments coherence loss is completely determined by the upper quantum
Lyapunov exponent, a behavior which is more universal than that of the
Caldeira-Leggett type model.
- oai_identifier:
- oai:arXiv.org:quant-ph/0703200
- categories:
- quant-ph
- comments:
- 9 pages, 1 figure, published version
- doi:
- 10.1088/1751-8113/41/11/115303
- arxiv_id:
- quant-ph/0703200
- journal_ref:
- J. Phys. A: Math. Theor. 41 115303 (9pp) (2008)
- created:
- 2007-03-21
- updated:
- 2008-03-28
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