Multiphoton supercoherent states

TL;DR

This paper constructs and analyzes multiphoton supercoherent states for the supersymmetric harmonic oscillator, exploring their properties, uncertainty relations, statistical features, and geometric phases, revealing their periodic nature and quantum characteristics.

Contribution

It introduces a new class of multiphoton supercoherent states for the supersymmetric harmonic oscillator, expressed via multiphoton coherent states, and studies their quantum properties and geometric phases.

Findings

States are periodic with well-defined geometric phases

Uncertainty relations are analyzed for these states

Statistical properties are characterized

Abstract

In this paper we are going to build the multiphoton supercoherent states for the supersymmetric harmonic oscillator as eigenstates of the $m$-th power of a special form (but still with a free parameter) of the Kornbluth-Zypman supersymmetric annihilation operator. They become expressed in terms of the multiphoton coherent states for the standard harmonic oscillator. The Heisenberg uncertainty relation and some statistical properties for these states will be studied. Since the multiphoton supercoherent states turn out to be periodic, then the associated geometric phases will be as well evaluated.