Cereal Drying Racks

Zwerger, Klaus

doi:10.1515/9783035619447

Cited by 2 publications

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“…Specifically, it has been shown by Leggett [50] that even in the presence of strong Fermi liquid corrections in the normal state, the compressibility of a neutral Fermi liquid is unchanged by a transition to superfluidity. More generally, it may be shown [51] that the change δn in particle density at the superfluid transition is related to the finite order parameter |ψ| 2 by a linear relation δn = ακ|ψ| 2 to lowest order. Here, κ = ∂n/∂μ is the compressibility and α is the coupling constant between density and the order parameter, which is generically of the form −αδn|ψ| 2 [52].…”

Section: J Stat Mech (2021) 033104mentioning

confidence: 99%

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Hydrodynamics of a superfluid smectic

Hofmann¹,

Zwerger²

2021

J. Stat. Mech.

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We determine the hydrodynamic modes of the superfluid analog of a smectic-A liquid crystal phase, i.e., a state in which both gauge invariance and translational invariance along a single direction are spontaneously broken. Such a superfluid smectic provides an idealized description of the incommensurate supersolid state realized in Bose–Einstein condensates with strong dipolar interactions as well as of the stripe phase in Bose gases with spin–orbit coupling. We show that the presence of a finite normal fluid density in the ground state of these systems gives rise to a well-defined second-sound type mode even at zero temperature. It replaces the diffusive permeation mode of a normal smectic phase and is directly connected with the classic description of supersolids by Andreev and Lifshitz in terms of a propagating defect mode. An analytic expression is derived for the two sound velocities that appear in the longitudinal excitation spectrum. It only depends on the low-energy parameters associated with the two independent broken symmetries, which are the effective layer compression modulus and the superfluid fraction.

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Section: J Stat Mech (2021) 033104mentioning

confidence: 99%

“…Fermi superfluids, one finds that ακ (T c /T F ) 4 is exponentially small in the BCS limit and even for a unitary gas the dimensionless coupling constant ακ turns out to be around 0.05 only [51].…”

Section: Acknowledgmentsmentioning

confidence: 99%

Hydrodynamics of a superfluid smectic

Hofmann¹,

Zwerger²

2021

J. Stat. Mech.

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“…For weak-coupling BECs, one has ακ ≡ 1. By contrast, for Fermi superfluids, one finds that ακ ≃ (T c /T F ) 4 is exponentially small in the BCS limit and even for a unitary gas the dimensionless coupling constant ακ turns out to be around 0.05 only [48].…”

Section: Appendix B Transverse Modes Of a Superfluid Smectic And The ...mentioning

confidence: 89%

“…Specifically, it has been shown by Leggett [47] that even in the presence of strong Fermi liquid corrections in the normal state, the compressibility of a neutral Fermi liquid is unchanged by a transition to superfluidity. More generally, it may be shown [48] that the change δn in particle density at the superfluid transition is related to the finite order parameter |ψ| 2 by a linear relation δn = ακ|ψ| 2 to lowest order. Here, κ = ∂n/∂µ is the compressibility and α is the coupling constant between density and the order parameter, which is generically of the form −αδn|ψ| 2 [49].…”

Section: Appendix B Transverse Modes Of a Superfluid Smectic And The ...mentioning

confidence: 99%

Hydrodynamics of a superfluid smectic

Hofmann,

Zwerger

2020

Preprint

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We determine the hydrodynamic modes of the superfluid analog of a smectic A phase in liquid crystals, i.e., a state in which both gauge invariance and translational invariance along a single direction are spontaneously broken. Such a superfluid smectic provides an idealized description of the incommensurate supersolid state realized in Bose-Einstein condensates with strong dipolar interactions as well as of the stripe phase in Bose gases with spin-orbit coupling. We show that the presence of a finite normal fluid density in the ground state of these systems gives rise to a welldefined second-sound type mode even at zero temperature. It replaces the diffusive permeation mode of a normal smectic phase and is directly connected with the classic description of supersolids by Andreev and Lifshitz in terms of a propagating defect mode. An analytic expression is derived for the two sound velocities that appear in the longitudinal excitation spectrum. It only depends on the low-energy parameters associated with the two independent broken symmetries, which are the effective layer compression modulus and the superfluid fraction.

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Cereal Drying Racks

Cited by 2 publications

References 0 publications

Hydrodynamics of a superfluid smectic

Hydrodynamics of a superfluid smectic

Hydrodynamics of a superfluid smectic

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