Stationary vortex flows and macroscopic Zeno effect in Bose-Einstein condensates with localized dissipation

Zezyulin, Dmitry A.

doi:10.48550/arxiv.1411.7948

Cited by 3 publications

(5 citation statements)

References 24 publications

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“…For the radial profile v r = e r • v, one can imagine pumping atoms out of the system near r = 0 at a rate Ṅ = −ρD (the possibility of experimentally realising such a configuration has been discussed in e.g. [49,50]). In order to keep N fixed, one could then resupply atoms at the same rate at the outer edge of the condensate.…”

Section: Velocity Fieldmentioning

confidence: 99%

Rotational superradiance with Bogoliubov dispersion

Patrick

2020

Preprint

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Rotational superradiance affects the dynamics of many rotating systems in nature, through either stimulated or spontaneous extraction of energy and angular momentum. By now, this process is well-studied in the relativistic setting, where systems are intrinsically dispersion-free. In many condensed matter systems, however, dispersion is an unavoidable aspect of the description for the short wavelength modes. For these systems, how might one expect superradiance to be modified? In this work, an answer to this question is provided using an illustrative example. The scattering of linear excitations of a Bose-Einstein condensate are studied in the presence of a rotating, draining vortex flow using the full Bogoliubov dispersion relation. It is shown that dispersion suppresses the extraction of energy and angular momentum, firstly, by decreasing the superradiant bandwidth, and secondly, by preventing high-angular momentum modes from superradiating.

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Section: Velocity Fieldmentioning

confidence: 99%

Rotational superradiance with Bogoliubov dispersion

Patrick

2020

Preprint

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“…By identifying the confinement mechanisms, our results provide deeper insight into the origin of instabilities in rotating systems. The method we presented could also be used to better understand the properties of draining superfluid vortices, which have been argued to be stable [35,36]. Our analysis also has implications for the evolution of vortex states in symmetric trapping geometries.…”

Section: Discussionmentioning

confidence: 92%

“…This instability has been confirmed both numerically and experimentally [32][33][34]. Interestingly, it has been ar-gued that multiply-quantised vortices in condensates can be stabilised by a draining component in the flow field [35,36]. In general, a deeper understanding of vortex dynamics is desirable due to the implications for on-going research on (e.g.)…”

Section: Introductionmentioning

confidence: 79%

“…To establish such a set up, one can imagine pumping atoms out of the condensate at a rate Ṅ = −d in a small region around the vortex axis r = 0. Note that (5.1) is only an estimate and the full fluid flow is more complicated in both classical [52,53] and quantum [35] fluids. Note that the total energy (norm multiplied by frequency) of the modes multiplied by the frequency is positive for black and negative for red.…”

Section: A Draining Vortexmentioning

confidence: 99%

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Quantum vortex instability and black hole superradiance

Patrick¹,

Geelmuyden²,

Erne³

et al. 2021

Preprint

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Vortices and black holes set the scene for many interesting dynamical processes in physics. Here, we study the dynamical instability of quantised vortices and rotational superradiance around rotating black holes, illustrating in the process that the same physics is at play in these two seemingly disparate phenomena. We also compare the instability of the vortex to the black hole bomb instability, which occurs for massive scalar fields in the Kerr spacetime. Taking inspiration from the analogy between black hole bomb modes and the hydrogen spectrum, the vortex instability is compared with nuclear resonances involved in α-decay.

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“…For the radial profile v r = e r • v, one can imagine pumping atoms out of the system near r = 0 at a rate Ṅ = −ρD (the possibility of experimentally realising such a configuration has been discussed in e.g. [53,54]). In order to keep N fixed, one could then resupply atoms at the same rate at the outer edge of the condensate.…”

Section: Velocity Fieldmentioning

confidence: 99%

Rotational superradiance with Bogoliubov dispersion

Patrick

2021

Class. Quantum Grav.

View full text Add to dashboard Cite

Rotational superradiance affects the dynamics of many rotating systems in nature, through either stimulated or spontaneous extraction of energy and angular momentum. By now, this process is well-studied in the relativistic setting, where systems are intrinsically dispersion-free. In many condensed matter systems, however, dispersion is an unavoidable aspect of the description for the short wavelength modes. For these systems, how might one expect superradiance to be modified? In this work, an answer to this question is provided using an illustrative example. The scattering of linear excitations of a Bose–Einstein condensate (BEC) are studied in the presence of a rotating, draining vortex flow using the full Bogoliubov dispersion relation. It is shown that dispersion suppresses the extraction of energy and angular momentum, firstly, by decreasing the superradiant bandwidth, and secondly, by preventing high-angular momentum modes from superradiating.

show abstract

Stationary vortex flows and macroscopic Zeno effect in Bose-Einstein condensates with localized dissipation

Cited by 3 publications

References 24 publications

Rotational superradiance with Bogoliubov dispersion

Rotational superradiance with Bogoliubov dispersion

Quantum vortex instability and black hole superradiance

Rotational superradiance with Bogoliubov dispersion

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