Quantum Fermi's Golden Rule

Details Quantum Fermi's Golden Rule Quantum Fermi's Golden Rule

2007-02-26

arxiv.org/abs/quant-ph/0702233v1

Physics

Quantum Physics

submitted to Physical Review Letters

Scientific paper

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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