Vacuum Condensate, Geometric Phase, Unruh Effect, and Temperature Measurement

Abstract EN

In our previous work the possibility to use the Aharonov-Anandan invariant asa tool in the analysis of disparate systems has been shown, including Hawking and Unruh effects, as well as graphenephysics and thermal states.

We show that the vacuum condensation, characterizing such systems, isalso related with geometric phases and we analyze the properties of the geometric phase of systemsrepresented by mixed state and undergoing a nonunitary evolution.

In particular, we consider two-level atoms accelerated by an external potential and interacting with a thermal state.

We proposethe realization of Mach-Zehnder interferometers which can prove the existence of the Unruh effectand can allow very precise measurements of temperature.