arXiv:1803.06709 · Physical Review A

p -wave superfluidity in mixtures of ultracold Fermi and spinor Bose gases

Oles Matsyshyn, A. I. Yakimenko, Eduard V. Gorbar, S. I. Vilchinskiĭ, Vadim Cheianov

Published Oct 17, 2018• 5 citations

Abstract

We reveal that the $p$-wave superfluid can be realized in a mixture of fermionic and $F=1$ bosonic gases. We derive a general set of the gap equations for gaps in the $s$ and $p$ channels. It is found that the spin-spin Bose-Fermi interactions favor the $p$-wave pairing and naturally suppress the pairing in the $s$ channel. The gap equations for the polar phase of $p$-wave superfluid fermions are numerically solved. Our study suggests a way to realize a pure $p$-wave superfluid in a well-controlled environment of atomic physics.

DOI: 10.1103/physreva.98.043620

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arXiv:1803.06709 · Physical Review A

p -wave superfluidity in mixtures of ultracold Fermi and spinor Bose gases

Oles Matsyshyn, A. I. Yakimenko, Eduard V. Gorbar, S. I. Vilchinskiĭ, Vadim Cheianov

Published Oct 17, 2018• 5 citations

arXiv HTML PDF

Abstract

We reveal that the

p

-wave superfluid can be realized in a mixture of fermionic and

F=1

bosonic gases. We derive a general set of the gap equations for gaps in the

s

and

p

channels. It is found that the spin-spin Bose-Fermi interactions favor the

p

-wave pairing and naturally suppress the pairing in the

s

channel. The gap equations for the polar phase of

p

-wave superfluid fermions are numerically solved. Our study suggests a way to realize a pure

p

-wave superfluid in a well-controlled environment of atomic physics.

DOI: 10.1103/physreva.98.043620

Related papers

s- and p-superfluidity of Fermi atoms in Bose–Fermi mixtures

Eduard V. Gorbar, Y. O. Nikolaieva, І. В. Олейнікова +2 more

The p-wave superfluid is characterized by nontrivial topological characteristics essential for fault-tolerant quantum state manipulation. However, the practical realization of the p-wave state remains a challenging problem. We study the s- and p-wave superfluidity in mixtures of fermionic and spinor bosonic gases and derive a general set of the gap equations for these superfluid states. Numerically solving the gap equations for the s-wave state, we quantify the physical conditions for the realization of the pure p-wave state in a well-controlled environment of atomic physics in the absence of an admixture of the s-wave state.The p-wave superfluid is characterized by nontrivial topological characteristics essential for fault-tolerant quantum state manipulation. However, the practical realization of the p-wave state remains a challenging problem. We study the s- and p-wave superfluidity in mixtures of fermionic and spinor bosonic gases and derive a general set of the gap equations for these superfluid states. Numerically solving the gap equations for the s-wave state, we quantify the physical conditions for the realization of the pure p-wave state in a well-controlled environment of atomic physics in the absence of an admixture of the s-wave state.

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Ben Kain, Hong Yuan Ling

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Journal of Physics Conference SeriesFeb 8, 20130 citations

We reveal that the

p

-wave superfluid can be realized in a mixture of fermionic and

F=1

bosonic gases. We derive a general set of the gap equations for gaps in the

s

and

p

channels. It is found that the spin-spin Bose-Fermi interactions favor the

p

-wave pairing and naturally suppress the pairing in the

s

channel. The gap equations for the polar phase of

p

-wave superfluid fermions are numerically solved. Our study suggests a way to realize a pure

p

-wave superfluid in a well-controlled environment of atomic physics.

We consider a system of repulsively interacting Bose-Fermi mixtures of spin-polarized uniform atomic gases at zero temperature. We examine possible realization of

p

-wave superfluidity of fermions due to an effective attractive interaction via density fluctuations of Bose-Einstein condensate within mean-field approximation. We find the ground state of the system by direct energy comparison of the

p

-wave superfluid state in a single uniform mixed phase and normal Fermi gas state in a phase-separated phase, and suggest an occurrence of the

p

-wave superfluidity for a strong boson-fermion interaction regime. We study some signatures of the

p

-wave superfluid, such as anisotropic energy gap and quasiparticle energy in the axial state, that have not been observed in spin-unpolarized superfluid of atomic fermions. We also show that a Cooper pair is a tightly bound state, such as a diatomic molecule in the strong boson-fermion coupling regime, and suggest an observable indication of the

p

-wave superfluid in the real experiment.

We study fermionic superfluidity in a boson-single-species-fermion cold-atom mixture. We argue that apart from the standard

p

-wave fermion pairing mediated by the phonon field of the boson gas, the system also exhibits

s

-wave pairing with the anomalous correlator being an odd function of time or frequency. We show that such a superfluid phase can have a much higher transition temperature than the

p

-wave and may exist for sufficiently strong couplings between fermions and bosons. These conditions for odd-frequency pairing are favorable close to the value of the coupling at which the mixture phase separates. We evaluate the critical temperatures for this system and discuss the experimental realization of this superfluid in ultracold atomic gases.

s

p

-, and

d

-wave pairing symmetry as well as spin and charge density wave phases. These phases and their stability are analyzed within the mean-field approximation for systems of $^{40}\mathrm{K}\text{\ensuremath{-}}^{87}\mathrm{Rb}$ and $^{40}\mathrm{K}\text{\ensuremath{-}}^{23}\mathrm{Na}$ mixtures. For the experimentally accessible regime of parameters, superfluids with unconventional fermion pairing have transition temperature around a percent of the Fermi energy.

A mixture of a spin-polarized Fermi gas and a dipolar Bose-Einstein condensate is considered in which

s

-wave scattering between fermions and the quasiparticles of the dipolar condensate can result in an effective attractive Fermi-Fermi interaction long-range and anisotropic in nature and tunable by the dipolar interaction. It is shown that such an interaction can significantly increase the prospect of realizing a superfluid with a gap parameter characterized with a coherent superposition of all odd partial waves. In the spirit of the Hartree-Fock-Bogoliubov mean-field approach, a theory is formulated that allows the estimation of the critical temperature when the anisotropic Fock potential is taken into consideration and the determination of the system parameters that optimize the critical temperature at which such a superfluid emerges before the system begins to phase separate.