Single Phonon State of Mechanical Mode via Photon Subtraction

TL;DR

This paper demonstrates a method to generate a single phonon Fock state in a mechanical mode using photon subtraction in an optomechanical system, with high fidelity and robustness against temperature effects.

Contribution

It introduces a photon subtraction-based scheme to prepare single phonon states in macroscopic mechanical systems within the linear optomechanical regime.

Findings

Conditional fidelity approaches unity under optimal conditions

The prepared state closely matches a standard single quantum Fock state

Temperature effects are analyzed and manageable

Abstract

We prepare single phonon Fock state of mechanical mode in optomechanical system based on photon subtraction process in the linear regime of optomechanical interaction. The correlation set between cavity and field modes is utilized to recast the state of a pre-cooled mechanical mode into a single phonon Fock state as the field mode is subjected to a photon subtraction type measurement at a dynamical instant of interaction time. The resultant conditional state of mechanical mode quantified by its Wigner function, exhibits an excellent compatibility with the standard single quantum Fock state. We confirm the nature of obtained state by calculating the phonon statistics, and conditional fidelity which approaches to unity for an instantaneous measurement time within an appropriate choice of parametric regime. Moreover, we also study the effects of temperature parameter for the preparation of target state. The present scheme can be realized to engineer the single quantum Fock state of macroscopic mechanical mode with currently available technology.