Jul 22 – 26, 2024
West University of Timisoara
Europe/Bucharest timezone

Acceleration as a circular motion along an imaginary circle

Jul 22, 2024, 5:50 PM
5m
Amphitheater A11 (West University of Timisoara)

Amphitheater A11

West University of Timisoara

Bulevardul Vasile Pârvan 4, Timișoara 300223, Romania https://www.uvt.ro/en/
Flash Talk (Plenary) + Poster Flash talk and posters

Speaker

Victor E. Ambruș (West University of Timișoara)

Description

We describe a quantum fluid undergoing constant acceleration in the grand canonical ensemble, in thermal equilibrium at finite inverse temperature β. Writing the action of the density operator ρ as a Poincare transformation with imaginary parameters, we derive the Kubo-Martin-Schwinger (KMS) relation characterizing the two-point functions. The KMS relation sets boundary conditions for the Euclidean propagator, identifying points in the τ-z plane on a circle separated by an angle equal to the thermal acceleration α. When α/2π = p/q is a rational number, we find a fractalization of thermodynamics, similar to the case of states under imaginary rotation.

Authors

Victor E. Ambruș (West University of Timișoara) Dr Maxim Chernodub (CNRS, Université de Tours, France)

Presentation materials