dorsal/arxiv
View SchemaQuantum Fermi's Golden Rule
| Authors | Fausto Rossi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702233 |
| URL | https://arxiv.org/abs/quant-ph/0702233 |
Abstract
We shall revisit the conventional adiabatic or Markov approximation, showing its intrinsic failure in describing the proper quantum-mechanical evolution of a generic subsystem interacting with its environment. In particular, we shall show that -contrary to the semiclassical case- the Markov limit does not preserve the positive-definite character of the corresponding density matrix, thus leading to highly non-physical results. To overcome this problem, we shall propose an alternative adiabatic procedure which (i) in the semiclassical limit reduces to the standard Fermi's golden rule, and (ii) describes a genuine Limblad evolution, thus providing a reliable/robust treatment of energy-dissipation and dephasing processes.
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"abstract": "We shall revisit the conventional adiabatic or Markov approximation, showing\nits intrinsic failure in describing the proper quantum-mechanical evolution of\na generic subsystem interacting with its environment. In particular, we shall\nshow that -contrary to the semiclassical case- the Markov limit does not\npreserve the positive-definite character of the corresponding density matrix,\nthus leading to highly non-physical results. To overcome this problem, we shall\npropose an alternative adiabatic procedure which (i) in the semiclassical limit\nreduces to the standard Fermi\u0027s golden rule, and (ii) describes a genuine\nLimblad evolution, thus providing a reliable/robust treatment of\nenergy-dissipation and dephasing processes.",
"arxiv_id": "quant-ph/0702233",
"authors": [
"Fausto Rossi"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"title": "Quantum Fermi\u0027s Golden Rule",
"url": "https://arxiv.org/abs/quant-ph/0702233"
},
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