  In this chapter, we illustrate how a trapped ion system can be used for the
experimental study of quantum thermodynamics, in particular, quantum
fluctuation of work. As technology of nano/micro scale develops, it becomes
critical to understand thermodynamics at the quantum mechanical level. The
trapped ion system is a representative physical platform to experimentally
demonstrate quantum phenomena with excellent control and precision. We provide
a basic introduction of the trapped ion system and present the theoretical
framework for the experimental study of quantum thermodynamics. Then we bring
out two concrete examples of the experimental demonstrations. Finally, we
discuss the results and the future of the experimental study of quantum
thermodynamics with trapped ion systems.

Quantum Physics;Statistical Mechanics;Atomic Physics