Quantum signatures in the work fluctuation-dissipation relation protocol

Abstract: Quantum thermodynamics deals with the behavior of thermal machines that operate in the quantum regime, where coherences and entanglement can have a significant impact. However, detecting such quantum effects in thermal machines can be challenging, as they are primarily manifested as fluctuations. This thesis theoretically studies the protocol for the work fluctuation-dissipation relation (FDR) from stochastic thermodynamics. We find Quantum signatures including coherence and entanglement in the FDR. When there is coherence or entanglement, corrections are introduced into the FDR. To study the effect of entanglement, a generalized protocol is proposed.