On Nonlinear Bosonic Coherent States

TL;DR

This paper explores the properties of nonlinear bosonic coherent states, revealing how their coherence and uncertainty features are affected by specific parameters, with implications for quantum technology applications.

Contribution

It provides a theoretical and experimental analysis of single- and multiboson nonlinear coherent states, highlighting critical parameter effects on their quantum properties.

Findings

Coherence and minimum-uncertainty are broken at specific Lamb-Dicke parameter values.

Eigenstates of the annihilation operator are experimentally realized in trapped ions.

Multiboson nonlinear coherent states are also characterized.

Abstract

Nonlinear coherent states are an interesting resource for quantum technologies. Here we investigate some critical features of the single-boson nonlinear coherent states, which are theoretically constructed as eigenstates of the annihilation operator and experimentally realized as stationary states of a trapped laser-driven ion. We show that the coherence and the minimum-uncertainty properties of such states are broken for values of the Lamb-Dicke parameter corresponding to the roots of the Laguerre polynomials, which enter their explicit expression. The case of the multiboson nonlinear coherent states is also discussed.