Negative refraction and rotons in the relativistic Bose gas

Reis, D. M.; Cavalcanti, S. B.; Carvalho, C. A. A. de

doi:10.1016/j.physletb.2020.136003

Cited by 1 publication

(4 citation statements)

References 29 publications

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“…The collective excitations in the resulting electrodynamics will be solved. For d = 3, we find, similar to a RBEC [9], the Higgs mode can become a roton. In terms of our model we further deduce that this feature emerges so long as the strength of the contact interaction V″ is sufficiently smaller than e 2 .…”

Section: Introductionsupporting

confidence: 52%

“…Apart from this difference, in the leading order of perturbation theory, the RBEC does share a lot in common with our model and some results echo. Following this thread, in d = 3 our model complements the perturbative study in [9] by the inclusion of potential profile, and in d = 2, generalizes part of the discoveries by [10] to the regime of relativity.…”

Section: Introductionmentioning

confidence: 76%

“…Moving forward, for d = 3 it is worth exploring the roton regime at finite temperature so as to fill the blank chapter between our result, (T = 0, V″ ≠ 0) and one from RBEC, (T ≠ 0, V″ = 0) [9]. This regime is relevant for empirical observations enumerated in the above.…”

Section: Concluding Remarkmentioning

confidence: 84%

“…To the best of our knowledge, a roton mode of this kind was recently discovered in a RBEC using diagrammatic approach in [9]. It is nonetheless worth pointing out the condensate in that work is generated by a heuristic substitution of the quasiparticle distribution rather than a potential profile encoded in the Lagrangian.…”

Section: Collective Modes In 2 and 3-dimensional Spacesmentioning

confidence: 96%

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Electromagnetic fluctuation and collective modes in relativistic bosonic superfluid in mixed dimensions

Hsiao

2023

Phys. Scr.

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In Gaussian approximation, we investigate the marginal electromagnetic fluctuation in models of charged relativistic bosonic superfluids in three and two spatial dimensions at zero temperature. The electromagnetism is modeled by the ordinary Maxwell term and the non-local pseudo-electrodynamics action in these dimensions respectively. We explore the collective excitations in these systems by integrating the superfluid velocity fields. We unveil that different collectives mode dispersions are results of the competition between different characteristic scales of speed and that between short-ranged and long-ranged interactions. In (3+1) dimensions, we derive the roton mode reminiscent of what was discovered in the context of the free relativistic Bose–Einstein condensate as a generalization of the Higgs mode and determine the necessary and sufficient condition for the roton to exist. In (2+1) dimensions, besides solving the dispersion relation for the surface plasmon, we prove there cannot be roton-like excitation in this model as opposed to its (3+1) dimensional counterpart, and additionally derive the asymptotic lines of the dispersion in the limits of long wavelength and short distance. These asymptotic dispersions are supplied with alternative perspective using duality.

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