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

2015/01/01 by Antonio Capolupo, A. Capolupo, Giuseppe Vitiello +1
Physics and Astronomy · #Experimental and Theoretical Physics Studies #False vacuum #Phase (matter) #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum mechanics #Theoretical physics #Unruh effect #quant-ph

paper · pdf · doi:10.1155/2015/878043

published as Advances in High Energy Physics Volume 2015, Article ID 878043, 8 pages · 8 pages, 2 figures

openalex publication_date 2015/01/01 · arxiv created 2015/06/22 · arxiv updated 2016/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In our previous work the possibility to use the Aharonov-Anandan invariant as a tool in the analysis of disparate systems has been shown, including Hawking and Unruh effects, as well as graphene physics and thermal states. We show that the vacuum condensation, characterizing such systems, is also related with geometric phases and we analyze the properties of the geometric phase of systems represented 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 propose the realization of Mach-Zehnder interferometers which can prove the existence of the Unruh effect and can allow very precise measurements of temperature.

Citations

• Geometric quantum computation using nuclear magnetic resonance
• Noncyclic geometric phase and its non-Abelian generalization
• Quantum field theory of boson mixing
• Completely positive dynamical semigroups of N-level systems
• Observation of Berry's Phase in a Solid-State Qubit
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• The Unruh effect and its applications
• Using Berry's phase to detect the Unruh effect at lower accelerations