2018
DOI: 10.1103/physrevd.97.124063
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Ergoregion instability of a rotating quantum system

Abstract: Using the analogy between acoustic perturbations in an ideal fluid and the description of a Klein-Gordon scalar field in a curved spacetime, we study the quasinormal modes of a quantum system: the rotating Bose-Einstein condensate. To compute quasinormal frequencies, we use two different numerical techniques, namely the direct integration and the continued-fraction methods. We study in detail the ergoregion instability of this linearly perturbed system, comparing the results with different setup configurations. Show more

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Cited by 8 publications
(4 citation statements)
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“…In the analog system context, superradiant scattering has been widely studied from the theoretical point of view [19][20][21][22][23] and has been recently observed in experiments using surface gravity waves on top of a water flow configuration displaying a draining vortex [24]. Ergoregion instabilities have also been theoretically studied in purely rotating vortex configurations in ideal fluids [25,26]. We are here interested in quantized vortices in superfluids: their purely azimuthal v θ ∝ 1/r irrotational flow pattern becomes supersonic in the vicinity of the vortex core and corresponds to an analog rotating space-time with an ergoregion but no horizon.…”
Section: Introductionmentioning
confidence: 99%
“…In the analog system context, superradiant scattering has been widely studied from the theoretical point of view [19][20][21][22][23] and has been recently observed in experiments using surface gravity waves on top of a water flow configuration displaying a draining vortex [24]. Ergoregion instabilities have also been theoretically studied in purely rotating vortex configurations in ideal fluids [25,26]. We are here interested in quantized vortices in superfluids: their purely azimuthal v θ ∝ 1/r irrotational flow pattern becomes supersonic in the vicinity of the vortex core and corresponds to an analog rotating space-time with an ergoregion but no horizon.…”
Section: Introductionmentioning
confidence: 99%
“…[36], which shows that non-zero vorticity can act as an effective mass term, thus allowing quasibound states to appear in vortex flows). For superradiance, the presence of an event horizon is not mandatory [7,[37][38][39]: it can be replaced by any dissipative material, as in the case of Zel'dovich's cylinder that scatters electromagnetic waves [40] or in the case of a rotating cylinder that dissipates the energy of water waves [41]. Here, building on the ideas of Refs.…”
Section: Introductionmentioning
confidence: 99%
“…Rotating Bose-Einstein condensates (BEC) are promising platforms to study superradiant phenomena [25,30]. A number of theoretical studies have investigated superradiance in configurations featuring a single vortex located at the center of a cylindrically symmetric trap as well as in planar geometries involving synthetic magnetic fields [31].…”
Section: Introductionmentioning
confidence: 99%