Employing feedback in adiabatic quantum dynamics

Details Employing feedback in adiabatic quantum dynamics Employing feedback in adiabatic quantum dynamics

2008-04-10

arxiv.org/abs/0804.1643v1

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1209/0295-5075/84/40007

We study quantum adiabatic dynamics, where the slowly moving field is influenced by system's state (feedback). The information for the feedback is gained from non-disturbating measurements done on an ensemble of identical non-interacting systems. The situation without feedback is governed by the adiabatic theorem: adiabatic energy level populations stay constant, while the adiabatic eigenvectors get a specific phase contribution (Berry phase). However, under feedback the adiabatic theorem does not hold: the adiabatic populations satisfy a closed equation of motion that coincides with the replicator dynamics well-known by its applications in evolutionary game theory. The feedback generates a new gauge-invariant adiabatic phase, which is free of the constraints on the Berry phase (e.g., the new phase is non-zero even for real adiabatic eigenfunctions).

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