Adiabatic approximation in open quantum systems

Details Adiabatic approximation in open quantum systems Adiabatic approximation in open quantum systems

2004-04-26

arxiv.org/abs/quant-ph/0404147v4

Phys. Rev. A 71, 012331 (2005)

Physics

Quantum Physics

v4: 13 pages, 1 figure. Published version. v3: Time condition for adiabaticity improved and references updated

Scientific paper

10.1103/PhysRevA.71.012331

We generalize the standard quantum adiabatic approximation to the case of open quantum systems. We define the adiabatic limit of an open quantum system as the regime in which its dynamical superoperator can be decomposed in terms of independently evolving Jordan blocks. We then establish validity and invalidity conditions for this approximation and discuss their applicability to superoperators changing slowly in time. As an example, the adiabatic evolution of a two-level open system is analysed.

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