Anyons and transmutation of statistics via a vacuum-induced Berry phase

Journal Article · Fri Oct 01 00:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.044102· OSTI ID:20646444

Serra, Roberto M; Vedral, Vlatko ^[1]; Carollo, Angelo ^[1]; Santos, Marcelo Franca ^[1]

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1. Optics Section, Blackett Laboratory, Imperial College, London SW7 2BZ (United Kingdom)

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.

• OSTI ID: 20646444
• Journal Information: Physical Review. A, Vol. 70, Issue 4; Other Information: DOI: 10.1103/PhysRevA.70.044102; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANYONS
BOSONS
CONFINEMENT
CORRELATIONS
EIGENSTATES
ENERGY LEVELS
EVOLUTION
FERMIONS
HARMONIC OSCILLATORS
IONS
PROPOSALS
QUANTUM MECHANICS
STATISTICS
TRANSMUTATION
TRAPPING
TRAPS
TWO-DIMENSIONAL CALCULATIONS