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Symmetry 2009, 1(2), 240-251; doi:10.3390/sym1020240

Phase Diffusion of a q-Deformed Oscillator

1,*  and 2,3
1 Department of Physics, Cornell University, Ithaca, NY 14853, USA 2 Department of Physics, Koç University, Sarıyer, İstanbul 34450, Turkey 3 Institute of Quantum Electronics, ETH Zurich, Zurich, CH 8093, Switzerland
* Author to whom correspondence should be addressed.
Received: 23 November 2009 / Accepted: 16 December 2009 / Published: 21 December 2009
(This article belongs to the Special Issue Symmetry Breaking Phenomena)
Download PDF [210 KB, uploaded 21 December 2009]


We examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phase diffusion at a rate determined by the deformation parameter. Analytical discussions are given for the case of weak deformations, while detailed numerical results are presented when strong anharmonicity is present in the system.
Keywords: q-deformed oscillator; phase diffusion; symmetry breaking q-deformed oscillator; phase diffusion; symmetry breaking
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Birol, T.; Müstecaplıoğlu, Ö.E. Phase Diffusion of a q-Deformed Oscillator. Symmetry 2009, 1, 240-251.

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