Geometric phase for open quantum systems and stochastic unravellings

Abstract

We analyze the geometric phase for an open quantum system when computed by resorting to a stochastic unravelling of the reduced density matrix (quantum jump approach or stochastic Schrodienger equations). We show that the resulting phase strongly depends on the type of unravelling used for the calculations: as such, this phase is 'not' a geometric object since it depends on non-physical parameters which are not related to the path followed by the density matrix during the evolution of the system.

7 pages, RevTeX. Small changes made

References in corpus (5)

• Measurements continuous in time and a posteriori states in quantum
• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• Geometric phase distributions for open quantum systems
• Quantum trajectory approach to the geometric phase: open bipartite systems
• Geometry of decomposition dependent evolutions of mixed states

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