Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevD.88.084009
Title: Generalized coherent states under deformed quantum mechanics with maximum momentum
Authors: Ching, C.L.
Ng, W.K. 
Issue Date: 7-Oct-2013
Citation: Ching, C.L., Ng, W.K. (2013-10-07). Generalized coherent states under deformed quantum mechanics with maximum momentum. Physical Review D - Particles, Fields, Gravitation and Cosmology 88 (8) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevD.88.084009
Abstract: Following the Gazeau-Klauder approach, we construct generalized coherent states (GCS) as the quantum simulator to examine the deformed quantum mechanics, which exhibits an intrinsic maximum momentum. We study deformed harmonic oscillators and compute their probability distribution and entropy of states exactly. Also, a particle in an infinite potential box is studied perturbatively. In particular, unlike usual quantum mechanics, the present deformed case increases the entropy of the Planck scale quantum optical system. Furthermore, for simplicity, we obtain the modified uncertainty principle (MUP) with the perturbative treatment up to leading order. MUP turns out to increase generally. However, for certain values of γ (a parameter of GCS), it is possible that the MUP will vanish and hence will exhibit the classical characteristic. This is interpreted as the manifestation of the intrinsic high-momentum cutoff at lower momentum in a perturbative treatment. Although the GCS saturates the minimal uncertainty in a simultaneous measurement of physical position and momentum operators, thus constituting the squeezed states, complete coherency is impossible in quantum gravitational physics. The Mandel Q number is calculated, and it is shown that the statistics can be Poissonian and super-/sub-Poissonian depending on γ. The equation of motion is studied, and both Ehrenfest's theorem and the correspondence principle are recovered. Fractional revival times are obtained through the autocorrelation, and they indicate that the superposition of a classical-like subwave packet is natural in GCS. We also contrast our results with the string-motivated (Snyder) type of deformed quantum mechanics, which incorporates a minimum position uncertainty rather than a maximum momentum. With the advances of quantum optics technology, it might be possible to realize some of these distinguishing quantum-gravitational features within the domain of future experiments. © 2013 American Physical Society.
Source Title: Physical Review D - Particles, Fields, Gravitation and Cosmology
URI: http://scholarbank.nus.edu.sg/handle/10635/96704
ISSN: 15507998
DOI: 10.1103/PhysRevD.88.084009
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

6
checked on Jul 14, 2018

WEB OF SCIENCETM
Citations

5
checked on Jun 18, 2018

Page view(s)

28
checked on Jun 8, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.