A method to simulate the dynamics of anyons through the Jaynes-Cummings model is presented. The simulation of anyons with m/2, m/3, m/4 statistics and transmution of statistics of the system from Fermi to Bose, through the anyonics statistics was also shown. The entanglement of the system eigenstates which provides a two-dimensional confinement in the effective evolution of the system plays an important role. It is also shown that it is possible to transmute the statistics of the system continuall7 from ferminons to bosons for particular parameters.
Serra, R.M., Carollo, A., Santos, M.F., Vedral, V. (2004). Anyons and transmutation of statistics via a vacuum-induced Berry phase. PHYSICAL REVIEW A, 70, 044102-1-044102-4 [10.1103/PhysRevA.70.044102].
Anyons and transmutation of statistics via a vacuum-induced Berry phase
Carollo, Angelo;
2004-01-01
Abstract
A method to simulate the dynamics of anyons through the Jaynes-Cummings model is presented. The simulation of anyons with m/2, m/3, m/4 statistics and transmution of statistics of the system from Fermi to Bose, through the anyonics statistics was also shown. The entanglement of the system eigenstates which provides a two-dimensional confinement in the effective evolution of the system plays an important role. It is also shown that it is possible to transmute the statistics of the system continuall7 from ferminons to bosons for particular parameters.
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