A single-point measurement scheme for quantum work based on the squeezing state

Bao-Ming Xu(徐宝明),Jian Zou(邹健),Zhan-Chun Tu(涂展春)

Figure 1. Schematic representation of the work measurement scheme. Initially, the system and the detector are prepared in ${\hat{\rho }}_{a}(0)$ and ${\hat{\rho }}_{s}(0);$ They are then coupled to each other and evolved by Usa(λ0) over a short time τ; after the transient evolution, the coupling is removed; the work parameter has changed from its initial value λ0 to the final value ${\lambda }_{t^{\prime} }$ and the system has evolved by ${U}_{s}(t^{\prime} );$ the system and the detector are recoupled with each other and evolved by ${U}_{{sa}}({\lambda }_{t^{\prime} })$ over a short time τ; finally, a measurement (triangle) is performed on the detector.