Suppression of non-adiabatic phases by a non-Markovian environment: easier observation of Berry phases

Abstract

We consider a two-level system coupled to a highly non-Markovian environment when the coupling axis rotates with time. The environment may be quantum (for example a bosonic bath or a spin bath) or classical (such as classical noise). We show that an Anderson orthogonality catastrophe suppresses transitions, so that the system's instantaneous eigenstates (parallel and anti-parallel to the coupling axis) can adiabatically follow the rotation. These states thereby acquire Berry phases; geometric phases given by the area enclosed by the coupling axis. Unlike in earlier proposals for environment-induced Berry phases, here there is little decoherence, so one does not need a decoherence-free subspace. Indeed we show that this Berry phase should be much easier to observe than a conventional one, because it is not masked by either the dynamic phase or the leading non-adiabatic phase. The effects that we discuss should be observable in any qubit device where one can drive three parameters in the Hamiltonian with strong man-made noise.

14 pages - v4 Extended and improved presentation (complete change of method and results w.r.t. version 1)

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Cited by in corpus (5)

• On the stability of quantum holonomic gates
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Suppressing the geometric dephasing of Berry phase by using modified dynamical decoupling sequences
• Decoherence of quantum gates based on Aharonov-Anandan phases in a multistep scheme
• Effect of decoherence on the Berry phase of a spin-half in a rotating magnetic field