<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-Wave Feshbach Molecules

Gaebler, John; Stewart, J. T.; Bohn, John L.; Jin, D. S.

doi:10.1103/physrevlett.98.200403

Cited by 214 publications

(348 citation statements)

References 21 publications

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“…Cold atomic gases are attractive candidates for this task, as they are devoid of impurities and are highly controllable. Fermi gases interacting via a p-wave resonance have been suggested to realise topological superfluids [15], but they are found to have very short lifetimes [16][17][18][19]. Other suggestions using quantum gases include proposals based on optical lattices [20][21][22][23], synthetic spin-orbit coupling [24][25][26], driven dissipation [27,28], dipolar molecules [29] and mixed dimension Fermi-Fermi mixtures [30].…”

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confidence: 99%

Topological Superfluid in a Fermi-Bose Mixture with a High Critical Temperature

Bruun

2016

Phys. Rev. Lett.

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We show that a two-dimensional (2D) spin-polarised Fermi gas immersed in a 3D Bose-Einstein condensate (BEC) constitutes a very promising system to realise a px + ipy superfluid. The fermions attract each other via an induced interaction mediated by the bosons, and the resulting pairing is analysed with retardation effects fully taken into account. This is further combined with BerezinskiiKosterlitz-Thouless (BKT) theory to obtain reliable results for the superfluid critical temperature. We show that both the strength and the range of the induced interaction can be tuned experimentally, which can be used to make the critical temperature approach the maximum value allowed by general BKT theory. Moreover, this is achieved while keeping the Fermi-Bose interaction weak so that three-body losses are small. Our results show that realising a topological superfluid with atomic Fermi-Bose mixtures is within experimental reach.The quest for realising topological phases of matter is presently a very active research topic [1,2]. Topological superconductors/superfluids are of particular interest, as they exhibit Majorana edge modes with possible applications for quantum computing [3]. In condensed matter systems, experimental evidence for Majorana modes have been reported in a number of one-dimensional materials [4][5][6][7][8][9][10]. Furthermore, Sr 2 RuO 4 is believed to realise a 2D topological superconductor [11][12][13][14]. However, it is highly desirable to find other systems which allow for unambiguous realisation of a topological superfluid. Cold atomic gases are attractive candidates for this task, as they are devoid of impurities and are highly controllable. Fermi gases interacting via a p-wave resonance have been suggested to realise topological superfluids [15], but they are found to have very short lifetimes [16][17][18][19]. Other suggestions using quantum gases include proposals based on optical lattices [20][21][22][23], synthetic spin-orbit coupling [24][25][26], driven dissipation [27,28], dipolar molecules [29] and mixed dimension Fermi-Fermi mixtures [30]. However, none of these proposals have been implemented experimentally so far, partly due to the prohibitively low superfluid critical temperatures in these systems.In this paper we show that a 2D-3D Fermi-Bose mixture can realise a p x + ip y topological superfluid with a high critical temperature. Spin-polarised fermions are confined to a 2D plane and interact via an attractive induced interaction mediated by density fluctuations in a weakly interacting 3D BEC. The superfluid transition of the 2D Fermi gas is investigated by first solving the mean-field gap equation, which has the Eliashberg form due to the frequency dependence of the induced interaction. Here the retardation effects are fully included and are found to be important. The superfluid density is then calculated and the critical temperature of the transition determined using BKT theory. To our knowledge, such a microscopic theory for the pairing of a Fermi gas based on a combination of El...

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confidence: 99%

Topological Superfluid in a Fermi-Bose Mixture with a High Critical Temperature

Bruun

2016

Phys. Rev. Lett.

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“…This means that it could have an equally important role in determining the collisional behavior and mean-field interaction of the quantum gases. Utilizing p-wave Feshbach resonances, the Joint Institute for Laboratory Astrophysics (JILA) group has successfully created p-wave molecules [31].…”

Section: B Close To a P-wave Resonancementioning

confidence: 99%

Medium effects close tos- andp-wave Feshbach resonances in atomic Fermi gases

Liao

Quader

2012

Phys. Rev. A

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Many-body effects may influence properties, such as scattering parameters, nature of pairing, etc., close to a Feshbach resonance in the fermion BEC-BCS crossover problem. We study effects such as these using a tractable crossing-symmetric approach. This method allow us to include quantum fluctuations, such as, density, current, spin, spin-current and the higher-order fluctuations in a self-consistent fashion. The underlying fermion interaction is reflected in the "driving" term. We perform calculations here on both Bose-Einstein condensate (BEC) and BCS sides, and taking the driving term to be finite range, and of arbitrary strength. These are related to two-body singlet and triplet scattering parameters, and can be connected with experimental s− and p-wave Feshbach resonances. We include the ℓ = 0 density and spin fluctuations, as well as ℓ = 1 current and spincurrent fluctuations. We calculate renormalized scattering amplitudes, pairing amplitudes, nature of pairing, etc., on both the BEC and BCS sides. We then compare our results qualitatively with experiments.

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“…The purpose of the present paper is first of all to describe the transition from the weakly bound Cooper pairs with p-wave symmetry to strongly bound local p-wave pairs (molecules) and try to reveal the nontrivial topological effects connected with the presence of the nodes in the superfluid gap of the triplet p-wave A 1 -phase. Note, that the A 1 -phase symmetry is relevant both to ultracold Fermigases in the regime of p-wave Feshbach resonance and to superfluid 3 He-A in the presence of a magnetic field B > H c~Tc /μ B , which is large enough to destroy isotropic B phase of 3 He already at T = 0. We pay the special attention to the spectrum of collective excitations and to the superfluid hydrodynamics of the A 1 -phase, where the topological effects are very pronounced, especially in the BCS-domain.…”

Section: Introductionmentioning

confidence: 99%

“…The first experimental results on p-wave Feshbach resonance [1][2][3] in ultracold fermionic gases 40 K and 6 Li make the field of quantum gases closer to the interesting physics of superfluid 3 He and the physics of unconventional superconductors such as Sr 2 RuO 4 . In this context it is important to try to build the bridge between the physics of ultracold gases and the physics of quantum liquids and to enrich both communities with the experience and knowledge accumulated in each of these fields.…”

Section: Introductionmentioning

confidence: 99%

BCS-BEC crossover and nodal-points contribution in p-wave resonance superfluids

Kagan

Efremov

2009

Low Temperature Physics

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We solve the Leggett equations for BCS-BEC crossover of the resonance p-wave superfluid. We calculate sound velocity, specific heat and the normal density for the BCS-domain (μ > 0), BEC-domain (μ < 0) as well as for the interesting interpolation point (μ = 0) in the triplet A 1 -phase in 3D. We are especially interested in the quasiparticle contribution coming from the zeroes of the superfluid gap in the A 1 -phase. We discuss the spectrum of orbital waves and the superfluid hydrodynamics at temperature T → 0. In this context we elucidate the difficult problem of chiral anomaly and mass-current nonconcervation appearing in the BCS-domain. We present the different approaches to solve this problem. To clarify this problem experimentally we propose an experiment for the measurement of anomalous current in superfluid A 1 -phase in the presence of aerogel for

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p-Wave Feshbach Molecules

Cited by 214 publications

References 21 publications

Topological Superfluid in a Fermi-Bose Mixture with a High Critical Temperature

Topological Superfluid in a Fermi-Bose Mixture with a High Critical Temperature

Medium effects close tos- andp-wave Feshbach resonances in atomic Fermi gases

BCS-BEC crossover and nodal-points contribution in p-wave resonance superfluids

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