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

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.

Authors:
;  [1];  [1];  [1]
  1. Optics Section, Blackett Laboratory, Imperial College, London SW7 2BZ (United Kingdom)
Publication Date:
OSTI Identifier:
20646444
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 70; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.70.044102; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Serra, Roberto M, Vedral, Vlatko, Carollo, Angelo, Centre for Quantum Computation, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, Santos, Marcelo Franca, and Departamento de Fisica, Universidade Federal de Minas Gerais, Belo Horizonte, 30161-970, MG. Anyons and transmutation of statistics via a vacuum-induced Berry phase. United States: N. p., 2004. Web. doi:10.1103/PhysRevA.70.044102.
Serra, Roberto M, Vedral, Vlatko, Carollo, Angelo, Centre for Quantum Computation, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, Santos, Marcelo Franca, & Departamento de Fisica, Universidade Federal de Minas Gerais, Belo Horizonte, 30161-970, MG. Anyons and transmutation of statistics via a vacuum-induced Berry phase. United States. https://doi.org/10.1103/PhysRevA.70.044102
Serra, Roberto M, Vedral, Vlatko, Carollo, Angelo, Centre for Quantum Computation, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, Santos, Marcelo Franca, and Departamento de Fisica, Universidade Federal de Minas Gerais, Belo Horizonte, 30161-970, MG. 2004. "Anyons and transmutation of statistics via a vacuum-induced Berry phase". United States. https://doi.org/10.1103/PhysRevA.70.044102.
@article{osti_20646444,
title = {Anyons and transmutation of statistics via a vacuum-induced Berry phase},
author = {Serra, Roberto M and Vedral, Vlatko and Carollo, Angelo and Centre for Quantum Computation, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA and Santos, Marcelo Franca and Departamento de Fisica, Universidade Federal de Minas Gerais, Belo Horizonte, 30161-970, MG},
abstractNote = {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.},
doi = {10.1103/PhysRevA.70.044102},
url = {https://www.osti.gov/biblio/20646444}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 70,
place = {United States},
year = {Fri Oct 01 00:00:00 EDT 2004},
month = {Fri Oct 01 00:00:00 EDT 2004}
}