Non-Classicality and Non-adiabaticity in a Single Trapped Ion

TL;DR

This paper investigates the non-classical and non-adiabatic behaviors of a single trapped ion, focusing on squeezing phenomena and their implications for quantum thermodynamics under realistic experimental conditions.

Contribution

It introduces a non-adiabatic parameter to distinguish classical and quantum behaviors and analyzes the squeezing dynamics in the ion's motion using the Heisenberg picture.

Findings

Identification of a non-adiabatic parameter $Q^{*}$ for system characterization

Analysis of squeezing behavior in the ion's motion

Discussion of squeezing as a resource in quantum thermodynamics

Abstract

Trapped ion systems present non-classical characteristics such as squeezed states that show a quantum advantage in quantum sensing, quantum information processing and quantum thermodynamics. We analyze the non-classical characteristics of a system described by a single ion trapped by a periodic potential field. Within the regime of non-adiabatic manipulation of the potential field, the dynamics of motion of the center of mass of the ion can be described by a dimensionless parameter called the non-adiabatic parameter $Q^{*}$. This parameter allows us to distinguish the classical and non-classical characteristics of the system. Using the equations of motion of observables in the Heisenberg picture, we propose an analysis of the unitary time evolution operator and discuss the squeezing behavior in the state of motion of the ion. The results shown can serve as a basis to discuss the presence of squeezing as a resource in quantum thermodynamics in the non-adiabatic regime in actual achievable experimental limitations.