Emergent infrared conformal dynamics: Applications to strongly interacting quantum states

Year: 2024

Authors: Maki J., Zhou F.

Autors Affiliation: Univ Trento, Pitaevskii BEC Ctr, CNR INO, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy; Univ British Columbia, Dept Phys & Astron, 6224 Agr Rd, Vancouver, BC V6T 1Z1, Canada.

Abstract: When the interactions are scale invariant, the quantum dynamics of a quantum gas are strongly constrained by a resultant conformal symmetry. In this Letter we study the expansion dynamics of strongly interacting quantum systems in a shallow harmonic trap in one and three spatial dimensions while interparticle interactions break the scale symmetry explicitly. Our main finding is that in one dimension the dynamics can be strongly constrained by an emergent infrared conformal dynamics (EIRCD) which significantly reduces entropy production, as opposed to three dimensions where there is no EIRCD in the strong coupling limit. We investigate the possibility and signatures of EIRCD in terms of the damping rate of the large amplitude oscillations of the gas, as well as the work done following a two-quench protocol. We find that the damping and the work done are constrained by the EIRCD, and become vanishingly small in the infrared limit when the final harmonic trap frequency is small. Our analysis is based on a close connection between the renormalization group equation flow and expansion dynamics in real space, and as such can be readily applied to a wide range of strongly interacting systems, like one-dimensional (1D) quantum gases and the three-dimensional (3D) unitary Fermi gas.

Journal/Review: PHYSICAL REVIEW A

Volume: 109 (5)      Pages from: L051303-1  to: L051303-6

More Information: The authors thank Randy Hulet, Kirk Madison, and Riley Stewart for discussions on possible experimental detections and Alvise Bastianello for discussions on generalized hydrodynamics. This project was partially supported by the NSERC (Canada) Discovery Grant under the Grant No. RGPIN-2020-07070 and by the Provincia Autonoma di Trento.
KeyWords: Bose-gas; Dimension
DOI: 10.1103/PhysRevA.109.L051303

Citations: 2
data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-24
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