Weak measurement amplification in optomechanics via a squeezed coherent state pointer

TL;DR

This paper proposes a novel weak measurement amplification scheme in optomechanics using a squeezed coherent state as a pointer, exploiting quantum noncommutativity to enhance mirror displacement beyond standard methods.

Contribution

It introduces a new amplification approach leveraging squeezed coherent states and quantum noncommutativity, differing from traditional weak measurement techniques.

Findings

Amplification depends on enhanced fluctuations of the squeezed coherent state

The scheme relies on quantum noncommutativity, not explained by standard weak measurement

Potential for improved sensitivity in optomechanical displacement measurements

Abstract

We present a scheme for achieving amplification of the displacement of the mirror in optomechanical cavity using single-photon postselection where the mirror is initially prepared in squeezed coherent state. The amplification depends on the enhanced fluctuations of the squeezed coherent state, and it is is caused by the noncommutativity of quantum mechanics relying on the squeezed coherent state, which can not be explained by the standard weak measurement [1,25].