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Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group
by Niklas Rasch, Aleksandr N. Mikheev, Thomas Gasenzer
Submission summary
| Authors (as registered SciPost users): | Niklas Rasch |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2402.19239v1 (pdf) |
| Date submitted: | 2024-03-19 14:46 |
| Submitted by: | Rasch, Niklas |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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 [Phys. Rev. A 54, 5085 (1996), see http://doi.org/10.1103/PhysRevA.54.5085 ], 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.
Current status:
In refereeing