2017
DOI: 10.1103/physrevb.95.140507
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Dissipation in mesoscale superfluids

Abstract: We investigate the maximum speed at which a driven superfluid can flow through a narrow constriction with a size on the order of the healing length. Considering dissipation via the thermal nucleation of quantized vortices, we calculate the critical velocity for superfluid 4 He and ultracold atomtronic circuits, identify fundamental length and velocity scales, and are thus able to present results obtained in widely different temperature and density ranges in a universal framework. For ultra-narrow channels we p… Show more

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Cited by 9 publications
(9 citation statements)
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References 66 publications
(148 reference statements)
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“…[24] of, e.g., power-law decay of n(r) at long distance in the striped crystal phase, much less estimates of the condensate fraction of, e.g, ∼ 10 −3 with a claimed relative precision of 10%, made using either PIGS or DMC are not at all believable, especially if accompanied by estimates of the superfluid fraction unphysically close to unity, for a system breaking translational invariance. It is worth mentioning the numerous past predictions of superfluidity of various Bose systems, made using ground state techniques, which were subsequently proven incorrect [48,49,50,51,52,53]. Indeed, finite temperature techniques are now widely regarded as a far superior option for investigating the ground state of Bose systems (for an extensive discussion of this subject, see for instance Ref.…”
Section: Discussionmentioning
confidence: 99%
“…[24] of, e.g., power-law decay of n(r) at long distance in the striped crystal phase, much less estimates of the condensate fraction of, e.g, ∼ 10 −3 with a claimed relative precision of 10%, made using either PIGS or DMC are not at all believable, especially if accompanied by estimates of the superfluid fraction unphysically close to unity, for a system breaking translational invariance. It is worth mentioning the numerous past predictions of superfluidity of various Bose systems, made using ground state techniques, which were subsequently proven incorrect [48,49,50,51,52,53]. Indeed, finite temperature techniques are now widely regarded as a far superior option for investigating the ground state of Bose systems (for an extensive discussion of this subject, see for instance Ref.…”
Section: Discussionmentioning
confidence: 99%
“…For example, first principle computer simulations based on realistic intermolecular potentials yield evidence of superfluid behavior at low temperature (T = 1 K) of nanoscale size clusters of p-H 2 comprising N 20 molecules [8][9][10][11], a claim for which some experimental confirmation has been obtained [12][13][14]. Moreover, the strong tendency of the system to form a crystal at low temperature, even in confinement [15,16] or in reduced dimensions [17,18], greatly reduces the region of parameter space wherein even a metastable fluid phase may exist.…”
Section: Introductionmentioning
confidence: 99%
“…There is now a wealth of theoretical results showing that the early prediction of bulk p-H 2 superfluidity is incorrect, as it fails to take into account the strong tendency of the system to crystallize at temperatures where Bose condensation and superfluidity ought to take place in a fluid. Crystallization is predicted to occur even in confinement [16,17] and/or in disorder [18][19][20] or reduced dimensions [21,22]. Indeed, first principle computer simulations based on realistic intermolecular potentials yield evidence of superfluidity at low temperature (T ∼ 1 K) only in nanoscale size clusters of p-H 2 comprising fewer than N ∼ 20 molecules [23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%