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Phase Diffusion of a q-Deformed Oscillator
Department of Physics, Cornell University, Ithaca, NY 14853, USA
Department of Physics, Koç University, Sarıyer, İstanbul 34450, Turkey
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
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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Birol, T.; Müstecaplıoğlu, Ö.E. Phase Diffusion of a q-Deformed Oscillator. Symmetry 2009, 1, 240-251.
Birol T, Müstecaplıoğlu ÖE. Phase Diffusion of a q-Deformed Oscillator. Symmetry. 2009; 1(2):240-251.
Birol, Turan; Müstecaplıoğlu, Özgür E. 2009. "Phase Diffusion of a q-Deformed Oscillator." Symmetry 1, no. 2: 240-251.