Tuning<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-Wave Interactions in an Ultracold Fermi Gas of Atoms

Regal, C. A.; Ticknor, Christopher; Bohn, John L.; Jin, D. S.

doi:10.1103/physrevlett.90.053201

Cited by 418 publications

(510 citation statements)

References 35 publications

Supporting

Mentioning

496

Contrasting

Order By: Relevance

“…(20) of [21], are discontinuous at contact, but left and right limits of their derivatives coincide. V p is tunable via a 3D Feshbach resonance [33], allowing experimental realization of all values of a F 1D from −∞ to +∞. It will be shown that in this fermionic case the effective 1D coupling constant is g F 1D = − 2 a F 1D /µ, which can be compared and contrasted with the previously defined bosonic 1D coupling constant g B 1D = − 2 /µa B 1D .…”

Section: Spin-aligned Fermionsmentioning

confidence: 99%

“…The N -fermion spin wave function is magnetically frozen in the configuration ↑ 1 · · · ↑ N , so the space-spin wave function must be spatially antisymmetric, s-wave scattering is forbidden, and the leading interaction effects at low energies are determined by the 3D p-wave scattering amplitude. Such p-wave interactions are usually negligible at the low densities of ultracold atomic vapors, but they can be greatly enhanced by p-wave Feshbach resonances [33]. Granger and Blume derived an effective one-dimensional K-matrix for the corresponding two-fermion problem [21] in a tight waveguide.…”

Section: Spin-aligned Fermionsmentioning

confidence: 99%

“…Comparing the expression (33) and the general form of a scattering solution (9), (12) it is natural to interpret the expression in the braces in the l.h.s. of (33) as a solution of a one-dimensional scattering problem, subject to a scattering potential whose (onedimensional) T-matrix reads…”

Section: Effective One-dimensional Interaction Potential For Waveguidmentioning

confidence: 99%

See 2 more Smart Citations

Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides

Girardeau

Nguyen

Olshanii

2004

Optics Communications

141

View full text Add to dashboard Cite

Derivation of effective zero-range one-dimensional (1D) interactions between atoms in tight waveguides is reviewed, as is the Fermi-Bose mapping method for determination of exact and stronglycorrelated many-body ground states of ultracold bosonic and fermionic atomic vapors in such waveguides, including spin degrees of freedom. Odd-wave 1D interactions derived from 3D p-wave scattering are included as well as the usual even-wave interactions derived from 3D s-wave scattering, with emphasis on the role of 3D Feshbach resonances for selectively enhancing s-wave or p-wave scattering so as to reach 1D confinement-induced resonances of the even and odd-wave interactions. A duality between 1D fermions and bosons with zero-range interactions suggested by Cheon and Shigehara is shown to hold for the effective 1D dynamics of a spinor Fermi gas with both even and odd-wave interactions and that of a spinor Bose gas with even and odd-wave interactions, with even(odd)-wave Bose coupling constants inversely related to odd(even)-wave Fermi coupling constants. Some recent applications of Fermi-Bose mapping to determination of many-body ground states of Bose gases and of both magnetically trapped, spin-aligned and optically trapped, spin-free Fermi gases are described, and a new generalized Fermi-Bose mapping is used to determine the phase diagram of ground-state total spin of the spinor Fermi gas as a function of its even and odd-wave coupling constants.

show abstract

Section: Spin-aligned Fermionsmentioning

confidence: 99%

Section: Spin-aligned Fermionsmentioning

confidence: 99%

See 1 more Smart Citation

Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides

Girardeau

Nguyen

Olshanii

2004

Optics Communications

141

View full text Add to dashboard Cite

show abstract

“…As an interesting application of this unique phenomenon, the possibility of a p-wave superfluid Fermi gas by using this effect has been proposed 26 . In this regard, we briefly note that, while a tunable p-wave pairing interaction associated with a p-wave Feshbach resonance has already been realized 27,28,29 , the p-wave superfluid state has not been reported yet. Since this unconventional pairing state has been realized in various Fermi systems, such as liquid 3 He 30,31 , as well as heavy-fermion superconductors 32,33,34 , the realization of a p-wave superfluid Fermi gas with a tunable interaction would contribute to the further development of unconventional superfluid physics.…”

mentioning

confidence: 99%

Rashbon Bound States Associated with a Spherical Spin–Orbit Coupling in an Ultracold Fermi Gas with an s-Wave Interaction

2016

View full text Add to dashboard Cite

We investigate the formation of rashbon bound states and strong-coupling effects in an ultracold Fermi gas with a spherical spin-orbit interaction, H so = λ p p p · σ (where σ = (σ x , σ y , σ z ) are Pauli matrices). Extending the strong-coupling theory developed by Nozières and Schmitt-Rink (NSR) to include this spin-orbit coupling, we determine the superfluid phase transition temperature T c , as functions of the strength of a pairing interaction U s , as well as the spin-orbit coupling strength λ . Evaluating poles of the NSR particleparticle scattering matrix describing fluctuations in the Cooper channel, we clarify the region where rashbon bound states dominate the superfluid phase transition in the U s -λ phase diagram. Since the antisymmetric spin-orbit interaction H so breaks the inversion symmetry of the system, rashbon bound states naturally have, not only a spin-singlet and even-parity symmetry, but also a spin-triplet and odd-parity symmetry. Thus, our results would be also useful for the study of this parity mixing effect in the BCS-BEC crossover regime of a spinorbit coupled Fermi gas.

show abstract

“…In the field of ultracold atoms, this phase was predicted to appear near the p-wave Feshbach resonance in Fermi gases 5 . However, the life time of such systems is severely limited by the three-body collisions, and achieving superfluidity in the resonance regime was found experimentally challenging 6 . Creating the equivalent of p-wave interactions using spin-orbit coupling or dipolar interactions provides a different interesting approach 7,8 , for which future experimental breakthroughs are desired to suppress heating or ultracold chemical reactions.…”

mentioning

confidence: 99%

Chiral superfluidity with p-wave symmetry from an interacting s-wave atomic Fermi gas

Liu¹,

Li²,

Wu³

et al. 2014

Nat Commun

View full text Add to dashboard Cite

Chiral p-wave superfluids are fascinating topological quantum states of matter that have been found in the liquid 3 He-A phase and arguably in the electronic Sr 2 RuO 4 superconductor. They are fundamentally related to the fractional 5/2 quantum Hall state, which supports fractional exotic excitations. Past studies show that they require spin-triplet pairing of fermions by p-wave interaction. Here we report that a p-wave chiral superfluid state can arise from spin-singlet pairing for an s-wave interacting atomic Fermi gas in an optical lattice. This p-wave state is conceptually distinct from all previous conventional p-wave states as it is for the centre-of-mass motion, instead of the relative motion. It leads to spontaneous generation of angular momentum, finite Chern numbers and topologically protected chiral fermionic zero modes bounded to domain walls, all occuring at a higher critical temperature in relative scales. Signature quantities are predicted for the cold atom experimental condition.

show abstract

Tuningp-Wave Interactions in an Ultracold Fermi Gas of Atoms

Cited by 418 publications

References 35 publications

Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides

Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides

Rashbon Bound States Associated with a Spherical Spin–Orbit Coupling in an Ultracold Fermi Gas with an s-Wave Interaction

Chiral superfluidity with p-wave symmetry from an interacting s-wave atomic Fermi gas

Contact Info

Product

Resources

About