Speaker
Description
We consider a quantum fluid at finite temperature T,
undergoing constant acceleration a. Expressing the density operator ρ
defining the grand-canonical ensemble as a Poincare transformation with
imaginary parameters, we derive the Kubo-Martin-Schwinger (KMS) relation
satisfied by the two-point functions. Expressed with respect to
Euclidean time, the KMS relations identify points in the τ-z plane on a
circle separated by an angle equal to the thermal acceleration α=a/T.
When α/2π = p/q is a rational number, we find a fractalization of
thermodynamics, similar to the case of states under imaginary rotation.
We show the connection to results for arbitrary (non-rational) α in the
case of large temperature.
[1] V. E. Ambruș, M. N. Chernodub, Phys. Lett. B 855 (2024) 138757.
