Anyons and transmutation of statistics via vacuum induced Berry phase

Details Anyons and transmutation of statistics via vacuum induced Berry phase Anyons and transmutation of statistics via vacuum induced Berry phase

2004-03-30

arxiv.org/abs/quant-ph/0403222v2

Phys. Rev. A 70, 044102 (2004)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.70.044102

We show that bosonic fields may present anyonic behavior when interacting with a fermion in a Jaynes-Cummings-like model. The proposal is accomplished via the interaction of a two-level system with two quantized modes of a harmonic oscillator; under suitable conditions, the system acquires a fractional geometric phase. A crucial role is played by the entanglement of the system eigenstates, which provides a two-dimensional confinement in the effective evolution of the system, leading to the anyonic behavior. For a particular choice of parameters, we show that it is possible to transmute the statistics of the system continually from fermions to bosons. We also present an experimental proposal, in an ion-trap setup, in which fractional statistical features can be generated, controlled, and measured.

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