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

Phase Diffusion of a q-Deformed Oscillator

Turan Birol 1,* email and Özgür Esat Müstecaplıoğlu 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)
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Abstract: 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

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Cite This Article

MDPI and ACS Style

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

AMA Style

Birol T, Müstecaplıoğlu ÖE. Phase Diffusion of a q-Deformed Oscillator. Symmetry. 2009; 1(2):240-251.

Chicago/Turabian Style

Birol, Turan; Müstecaplıoğlu, Özgür E. 2009. "Phase Diffusion of a q-Deformed Oscillator." Symmetry 1, no. 2: 240-251.

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