Anyons and transmutation of statistics via vacuum induced Berry phase
arXiv:quant-ph/0403222 · doi:10.1103/PhysRevA.70.044102
Abstract
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.
References in corpus (6)
- Fault-tolerant quantum computation by anyons
- Experimental issues in coherent quantum-state manipulation of trapped atomic ions
- Quantum state engineering on an optical transition and decoherence in a Paul trap
- 1/2-Anyons in small atomic Bose-Einstein condensates
- Vacuum induced Spin-1/2 Berry phase
- Berry's phase in Cavity QED: proposal for observing an effect of field quantization