Faraday instability of superfluid surface

Abe, Haruka; Ueda, T.; Morikawa, M; Saitoh, Y.; Nomura, R.; Okuda, Y.

doi:10.1103/physreve.76.046305

Cited by 41 publications

(76 citation statements)

References 16 publications

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“…After a series of inceptive studies on extended parametric resonances in confined superfluids [3][4][5][6][7][8], the experimental observation of Faraday waves in 4 He cells [9] and 87 Rb cigar-shaped Bose-Einstein condensates (BECs) [10] catalyzed the interest in the nonlinear dynamics of parametrically-driven ultracold gases [11]. In addition to the ever-present collective oscillation modes of BECs * Electronic address: antun@ipb.ac.rs † Electronic address: nicolin@theory.nipne.ro [12], their parametric driving can generate soundlike density waves, which are analogous to Faraday surface waves.…”

Section: Introductionmentioning

confidence: 99%

Faraday waves in binary nonmiscible Bose-Einstein condensates

Balaž

Nicolin

2012

Phys. Rev. A

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We show by extensive numerical simulations and analytical variational calculations that elongated binary non-miscible Bose-Einstein condensates subject to periodic modulations of the radial confinement exhibit a Faraday instability similar to that seen in one-component condensates. Considering the hyperfine states of 87 Rb condensates, we show that there are two experimentally relevant stationary state configurations: the one in which the components form a dark-bright symbiotic pair (the ground state of the system), and the one in which the components are segregated (first excited state). For each of these two configurations, we show numerically that far from resonances the Faraday waves excited in the two components are of similar periods, emerge simultaneously, and do not impact the dynamics of the bulk of the condensate. We derive analytically the period of the Faraday waves using a variational treatment of the coupled Gross-Pitaevskii equations combined with a Mathieu-type analysis for the selection mechanism of the excited waves. Finally, we show that for a modulation frequency close to twice that of the radial trapping, the emergent surface waves fade out in favor of a forceful collective mode that turns the two condensate components miscible.

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Section: Introductionmentioning

confidence: 99%

Faraday waves in binary nonmiscible Bose-Einstein condensates

Balaž

Nicolin

2012

Phys. Rev. A

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“…But as soon as entering the low gravity region, the other mode besides n = 1 would decay rapidly, resulting in the good establishment of the fundamental mode. On the other hand, there might be some external agitation, possibly from the jet plane vibration, and this could excite only the n = 1 mode by so-called Faraday instability (Abe et al 2007). …”

Section: Resultsmentioning

confidence: 99%

Surface Waves on Superfluid 4He Under Reduced Gravity

Takahashi

Suzuki

Nomura

et al. 2011

Microgravity Sci. Technol.

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Superfluid 4 He was produced on a small jet plane for the first time using a small GM-refrigerator to condense the liquid and a scroll pump to get the superfluid by evaporation. The surface wave on superfluid under 0.5g E , 0.1g E and 0.05g E , together with 2g E and 1g E , was successfully examined by an optical method utilizing parabolic flight. Here, g E is the gravitational constant on the ground. Assuming that only the fundamental mode was excited as determined by the sample cell width, the resonance peak in the frequency domain was well reproduced by the gravity wave with corresponding gravity constant.

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“…The asymmetry and the anomalous shapes can be a reflection of the superflow profile surrounding the crystal that is induced by the anisotropic interface motion. This observation of the peculiar interfacial dynamics will facilitate understanding of not only the fundamental question of crystal growth physics but also of the hydrodynamics of Bose-condensed systems in which various instabilities have been actively discussed recently [23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 92%

Asymmetry in melting and growth relaxation of⁴He crystals in superfluid after manipulation by acoustic radiation pressure

Nomura

Abe²,

Okuda

2017

New J. Phys.

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The relaxation dynamics of the crystal-superfluid interface of 4 He after deformation induced by acoustic radiation pressure was investigated for various crystal orientations. The melting relaxation after growth was approximately 10 times slower than the growth relaxation after melting for vicinal surfaces and facets, while both relaxation times were consistent with each other for rough surfaces. The asymmetry in the time constant between the melting and growth of vicinal surfaces and facets can be qualitatively explained as the effect of superflow induced by local rapid interface motion, such as a quick rounding of facet edges of the 4 He crystal. Rough surfaces move more isotropically and no significant local rapid interface motion is induced; therefore, their relaxation is likely to be symmetric with a minimal effect of superflow. While the growth relaxation was simply back to the initial shape in a single stage, the melting relaxation was much more complex with multiple stages and the exhibition of various anomalous shapes depending on temperature. Anomalous shapes such as needle-like shapes during melting have a larger curvature and higher energy and thus should have disappeared more quickly than the growth shape with a smaller curvature, but they were considerably stable and disappeared slowly. This counter-intuitive asymmetry suggests the significant role of superflow in the relaxation process. 4 He quantum crystals in superfluid is the exceptional material to be manipulated by small driving forces such as heat, gravity, and flow [6-13], because they grow extremely fast at low temperatures and play a very important role in understanding the fundamental aspects of crystal growth physics [14][15][16][17]. In previous reports, we have demonstrated that acoustic radiation pressure, which is the small second-order acoustic force usually not relevant to the crystallization process [18,19], induces both growth and melting of 4 He crystals and is a very useful tool to manipulate the interface in a desired orientation, even to a large extent [17,[20][21][22].

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Faraday instability of superfluid surface

Cited by 41 publications

References 16 publications

Faraday waves in binary nonmiscible Bose-Einstein condensates

Faraday waves in binary nonmiscible Bose-Einstein condensates

Surface Waves on Superfluid 4He Under Reduced Gravity

Asymmetry in melting and growth relaxation of⁴He crystals in superfluid after manipulation by acoustic radiation pressure

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Faraday instability of superfluid surface

Cited by 41 publications

References 16 publications

Faraday waves in binary nonmiscible Bose-Einstein condensates

Faraday waves in binary nonmiscible Bose-Einstein condensates

Surface Waves on Superfluid 4He Under Reduced Gravity

Asymmetry in melting and growth relaxation of4He crystals in superfluid after manipulation by acoustic radiation pressure

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Asymmetry in melting and growth relaxation of⁴He crystals in superfluid after manipulation by acoustic radiation pressure