Work

Planck scale corrections to the harmonic oscillator, coherent, and squeezed states

Year: 2017

Type: article

Abstract: The generalized uncertainty principle (GUP) is a modification of Heisenberg's Principle predicted by several theories of quantum gravity. It consists of a modified commutator between the position and momentum. In this work, we compute potentially observable effects that GUP implies for the harmonic oscillator, coherent, and squeezed states in quantum mechanics. In particular, we rigorously analyze the GUP-perturbed harmonic oscillator Hamiltonian, defining new operators that act as ladder operators on the perturbed states. We use these operators to define the new coherent and squeezed states. We comment on potential applications.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.96.066008

Authors: Pasquale Bosso, Saurya Das, Robert B. Mann

Institutions: University of Lethbridge, University of Waterloo, Perimeter Institute

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: University of Lethbridge, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W2608833261

FWCI: 2.136

Cites: 35

Cited by: 47

Related to: 10