QUANTUM THERMODYNAMICS AND WORK FLUCTUATION

Abstract

In this senior project work, we discussed the ideas of quantum thermodynamics and work fluctuations, using only basic concepts from quantum and statistical mechanics. After reviewing the concept of work as usually taught in thermodynamics and statistical me chanics, we discussed in non-equilibrium processes work as a random variable applied in quantum systems. We also discussed the distribution of work and characteristic func tion. We discussed also the framework of non-equilibrium processes in quantum systems together with some modern developments, such as the Jarzynski equality and its connec tion to the second law of thermodynamics. We hope that this senior project will serve as an introduction for a non-equilibrium system, work, as a fluctuating parameter to a new student up to date and make aware of on the recent developments in non-equilibrium thermodynamics of quantum systems.