Three and four identical fermions near the unitary limit

Higgins, Michael D.; Greene, Chris H.

doi:10.1103/physreva.106.023304

Cited by 5 publications

(8 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, when the two-body interaction is strong enough, i.e., the two-fermion interactions reside at the s-wave or p-wave unitary limit, the power law of the recombination becomes modified because there is a modified centrifugal barrier asymptotically. In particular, the asymptotic l e value of the lowest 3-body contin-uum channel changes at unitarity, in a remnant of the Efimov effect [22,25]. Fig.…”

Section: Wigner Threshold Law In Two Component Fermion At Unitaritymentioning

confidence: 91%

“…The present letter predicts the existence of one pwave universal trimer state for two-component equal mass (m ↑ = m ↓ ) fermionic trimers having the s-wave scattering length approaching infinity between spin-up and spin-down fermions and having the p-wave scattering volume (V p ) at the unitary limit, for the symmetry L Π = 1 − . Evidence for the universality of this trimer state has emerged from our tests of different s-and/or pwave poles of two-body Lennard-Jones potentials, in addition to various other two-body potentials, e.g., Gaussian or Gaussian-type potentials [22,25]. The peak of the three-body recombination rate indicates the point where the trimer state becomes bound.…”

Section: Introductionmentioning

confidence: 95%

“…The Efimov physics modification [22,25], for this twocomponent Fermi trimer at s-wave unitarity in the symmetry L Π = 1 − , can be obtained by solving the transcendental equation for zero-range interactions, as in Refs. [38,39].…”

Section: Modified Wigner Threshold Law At Unitaritymentioning

confidence: 99%

“…The tunneling amplitude through that barrier has an energy dependence described by an Efimovmodified Wigner threshold law factor k le+1/2 , as has been stressed in recent publications. [22,25] Thus, the threebody recombination rate has the following energy dependence: K 3 ∝ E le−3/2 = E −0.227 , over the energy range from about 10 µK up to 5 mK, and the WKB tunneling probability varies with energy as P ∝ E le+1/2 = E 1.773 , respectively (i.e., the exponent is 2 − 0.227). Previous studies have shown how WKB tunneling under such a centrifugal barrier is one way of understanding the origin of the relevant Wigner threshold law for any given process.…”

Section: Landau-zener Probabilitymentioning

confidence: 99%

“…The point of the present study is to show that properties of fermionic trimers can be reliably predicted using realistic finite-range potentials relevant to current ultracold atomic physics experiments. Our treatment addresses two main goals: Firstly, (i) We show that despite the absence of an Efimov effect in fermionic trimers with p-wave interactions, there is a remnant of Efimov physics in the sense described in other recent references [22,25], namely that going to s-wave unitarity and/or p-wave unitarity produces a reduction of the long-range hyperradial potential barrier. This reduction results in modifications of recombination threshold laws and scalings versus scattering length and volume.…”

Section: Introductionmentioning

confidence: 97%

See 4 more Smart Citations

P -wave Efimov physics implications at unitarity

Chen

Greene

2023

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

Equal mass fermionic trimers with two different spin components near the unitary limit are shown to possess a universal van der Waals bound or resonance state near s-wave unitarity, when p-wave interactions are included between the particles with equal spin. Our treatment uses a single-channel Lennard-Jones interaction with long range two-body van der Waals potentials. While it is wellknown that there is no true Efimov effect that would produce an infinite number of bound states in the unitary limit, we demonstrate that another type of universality emerges for the symmetry L Π = 1 − . The universality is a remnant of Efimov physics that exists in this system at p-wave unitarity, and it leads to modified threshold and scaling laws in that limit. Application of our model to the system of three lithium atoms studied experimentally by Du, Zhang, and Thomas [Phys. Rev. Lett. 102, 250402 (2009)] provides an interpretation of their measured three-body recombination loss rates.

show abstract

Section: Wigner Threshold Law In Two Component Fermion At Unitaritymentioning

confidence: 91%

Section: Introductionmentioning

confidence: 95%

Section: Modified Wigner Threshold Law At Unitaritymentioning

confidence: 99%

Section: Landau-zener Probabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 3 more Smart Citations

P -wave Efimov physics implications at unitarity

Chen

Greene

2023

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

show abstract

Universal trimers with p-wave interactions and the faux-Efimov effect

Chen,

Greene

2024

J. Phys. B: At. Mol. Opt. Phys.

View full text Add to dashboard Cite

An unusual class of $p$-wave universal trimers with symmetry $L^{\Pi}=1^{\pm}$ is identified, for both a two-component fermionic trimer with $s$- and $p$-wave scattering length close to unitarity and for a one-component fermionic trimer at $p$-wave unitarity. Moreover, fermionic trimers made of atoms with two internal spin components are found for $L^{\Pi}=1^{\pm}$, when the $p$-wave interaction between spin-up and spin-down fermions is close to unitarity and/or when the interaction between two spin-up fermions is close to the $p$-wave unitary limit. The universality of these $p$-wave universal trimers is tested here by considering van der Waals interactions in a Lennard-Jones potential with different numbers of two-body bound states; our calculations also determine the value of the scattering volume or length where the trimer state hits zero energy and can be observed as a recombination resonance. The faux-Efimov effect appears with trimer symmetry $L^{\Pi}=1^{-}$ when the two fermion interactions are close to $p$-wave unitarity and the lowest $1/R^2$ coefficient gets modified, thereby altering the usual Wigner threshold law for inelastic processes involving 3-body continuum channels.

show abstract