Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group
Niklas Rasch, Aleksandr N. Mikheev, Thomas Gasenzer
SciPost Phys. Core 7, 066 (2024) · published 27 September 2024
- doi: 10.21468/SciPostPhysCore.7.3.066
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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.
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- Studienstiftung des Deutschen Volkes (through Organization: Studienstiftung des deutschen Volkes / German National Academic Foundation)