"Stringy" Coherent States Inspired By Generalized Uncertainty Principle
arXiv:1110.5136 · doi:10.1016/j.physletb.2012.04.033
Abstract
In this Letter we have explicitly constructed Generalized Coherent States for the Non-Commutative Harmonic Oscillator that directly satisfy the Generalized Uncertainty Principle (GUP). Our results have a smooth commutative limit. The states show fractional revival which provides an independent bound on the GUP parameter. Using this and similar bounds we derive the largest possible value of the (GUP induced) minimum length scale. Mandel parameter analysis shows that the statistics is Sub-Poissionian.
Substantial changes with exact and corrected equations given, no change in basic conclusions, one figure to be supplied on request, to appear in Phys.Lett.B
References in corpus (3)
Cited by in corpus (30)
- Minimal Length Scale Scenarios for Quantum Gravity
- Probing Planck-scale physics with quantum optics
- New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
- Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
- Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations
- Squeezed coherent states for noncommutative spaces with minimal length uncertainty relations
- Nonclassicality versus entanglement in a noncommutative space
- Relativistic quantum heat engine from uncertainty relation standpoint
- Path Integral for non-relativistic Generalized Uncertainty Principle corrected Hamiltonian
- Quantum theory of the Generalised Uncertainty Principle
- Coherent States in Gravitational Quantum Mechanics
- Minimal length effect on the broadening of free wave-packets and its physical implications
- A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
- Generalized relativistic harmonic oscillator in minimal length quantum mechanics
- Noncommutative Geometry and Fluid Dynamics
- Non-Commutative space: boon or bane for quantum engines and refrigerators
- Generalized coherent states for position-dependent effective mass systems
- Coherent States for the Non-Linear Harmonic Oscillator
- A novel mechanism for probing the Planck scale
- The Harmonic Oscillator in the Classical Limit of a Minimal-Length Scenario
- On the Stability of Coherent States for Pais-Uhlenbeck Oscillator
- Schwinger's Model of Angular Momentum with GUP
- Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
- Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
- On completeness of coherent states in noncommutative spaces with generalised uncertainty principle
- Galilei Group with multiple central extension, vorticity and entropy generation: "Exotic" fluid in 3+1-dimensions
- A Note on Coherent States with Quantum Gravity Effects
- A novel mechanism for probing the Planck scale with wavepackets following general distributions
- Relativistic generalised uncertainty and the corrected vacuum energy
- Minimal length implications on the Hartree-Fock theory