Work

Evolving Probability Representations of Entangled Cat States in the Potentials of Harmonic and Inverted Oscillators

Year: 2025

Type: article

Abstract: We determine the evolving probability representation of entangled cat states in the potential of either the harmonic oscillator or the inverted oscillator, assuming that the states are initially prepared in the potential of the harmonic oscillator. Such states have several applications in quantum information processing. The inverted quantum harmonic oscillator, where the potential energy corresponds to imaginary frequencies of the oscillator, can be applied in relation to cosmological problems. We also determine the evolving probability representation of cat states of an oscillating spin-1/2 particle of the inverted oscillator, in which the time evolution of the spin state is described by an arbitrary unitary operator. The properties of the determined entangled probability distributions are discussed.

Source: Quantum Reports

DOI: 10.3390/quantum7020023

Authors: Matyas Mechler, Margarita A. Man’ko, Vladimir I. Man’ko, Peter Adam

Institutions: Institute for Solid State Physics and Optics, University of Pecs, P.N. Lebedev Physical Institute of the Russian Academy of Sciences

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,689

Funders: Nemzeti Kutatási és Technológiai Hivatal, National Research, Development and Innovation Office