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.

Primary authors

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

Presentation materials