Work

Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group

Year: 2024

Type: article

Abstract: Wilson’s renormalization-group approach to the weakly-interacting single-component Bose gas is discussed within the symmetry-broken, condensate phase. Extending upon the work by Bijlsma and Stoof, wave-function renormalization of the temporal derivative contributions to the effective action is included in order to capture sound-like quasiparticle excitations with wave lengths larger than the healing-length scale. By means of a suitable rescaling scheme we achieve convergence of the coupling flows, which serve as a means to determine the condensate depletion in accordance with Bogoliubov theory, as well as the interaction-induced shift of the critical temperature.

Source: SciPost Physics Core

DOI: 10.21468/scipostphyscore.7.3.066

Authors: Niklas Rasch, Aleksandr Mikheev, Thomas Gasenzer

Institution: Heidelberg University

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: International Max Planck Research School for Environmental, Cellular and Molecular Microbiology, Deutsche Forschungsgemeinschaft, Studienstiftung des Deutschen Volkes, International Max Planck Research School for Advanced Methods in Process and Systems Engineering