Stable heteronuclear few-atom bound states in mixed dimensions

Yin, Tao; Zhang, Peng; Zhang, Wei

doi:10.1103/physreva.84.052727

Cited by 10 publications

(16 citation statements)

References 50 publications

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“…The strength |s 0 | is the same as for the single-layer (2D 2 ×3D) and single-wire (1D 2 ×3D) geometries, because in the limit of weakly bound Efimov trimers, the separation between the layers or wires is vanishly small compared with the size of the trimers, and can be regarded as a single layer or wire in the calculation of s 0 . Explicit calculations of the trimer energies as a function of the scattering length for bilayer-free and biwire-free geometries were performed by Tao Tin, Peng Zhang, and Wei Zhang [274], using the Born-Oppenheimer approximation. The authors also calculated the ground-state tetramer energy for the triwirefree geometry.…”

Section: Stable Efimov Trimers In Bilayer or Biwire Geometriesmentioning

confidence: 99%

Efimov physics: a review

2017

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This article reviews theoretical and experimental advances in Efimov physics, an array of quantum few-body and many-body phenomena arising for particles interacting via short-range resonant interactions, that is based on the appearance of a scale-invariant three-body attraction theoretically discovered by Vitaly Efimov in 1970. This three-body effect was originally proposed to explain the binding of nuclei such as the triton and the Hoyle state of carbon-12, and later considered as a simple explanation for the existence of some halo nuclei. It was subsequently evidenced in trapped ultra-cold atomic clouds and in diffracted molecular beams of gaseous helium. These experiments revealed that the previously undetermined three-body parameter introduced in the Efimov theory to stabilise the three-body attraction typically scales with the range of atomic interactions. The few- and many-body consequences of the Efimov attraction have been since investigated theoretically, and are expected to be observed in a broader spectrum of physical systems.

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Section: Stable Efimov Trimers In Bilayer or Biwire Geometriesmentioning

confidence: 99%

Efimov physics: a review

2017

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“…In the full-filled case we compare the gain in energy of the lattice deformation: − 2 exp(−d/a)/2m(0.6d) 2 to E gap from Eq. (8). It turns out that this energy is smaller by a factor 3.3 so that the true gap is nonzero and comparable to E gap .…”

Section: Fm and Afm Phases At Full-and Half-fillingmentioning

confidence: 99%

“…Efimov physics and other few-body phenomena have up to now only been studied by measuring losses, and no stable trimer has ever been trapped due to three-body recombination. The stability against losses created by spatially separating the different species using external potentials was already known from previous studies in few-body systems [6][7][8] where confinement to one-dimensional (1D) tubes or two-dimensional (2D) planes is used. Here we instead explore the interface between few-body and many-body physics.…”

Section: Introductionmentioning

confidence: 99%

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Optical lattices with large scattering length: Using few-body physics to simulate an electron-phonon system

Lan

Lobo

2014

Phys. Rev. A

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We propose to go beyond the usual Hubbard model description of atoms in optical lattices and show how few-body physics can be used to simulate many-body phenomena, e.g., an electron-phonon system. We take one atomic species to be trapped in a deep optical lattice at full-filling and another to be untrapped spin-polarized fermions (which do not see the optical lattice) but to have an s-wave contact interaction with the first species. For large positive scattering length on the order of lattice spacing, the usual two-body bound (dimer) states overlap forming giant orbitals extending over the entire lattice, which can be viewed as an "electronic" band for the untrapped species while the trapped atoms become the "ions" with their own on-site dynamics, thereby simulating an electron-phonon system with renormalization of the phonon frequencies and Peierls transitions. This setup requires large scattering lengths but minimizes losses, does not need higher bands, and adds degrees of freedom which cannot easily be described in terms of lattice variables, thus opening up intriguing possibilities to explore interesting physics at the interface between few-body and many-body systems.

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“…We determine the bound state properties of this three-body system as functions of the interspecies swave scattering length a 3D and the mass ratio κ, where κ = m h /m l ; we consider the regime 1 ≤ κ ≤ 12. The bound state properties of fermionic three-body systems with unequal masses have previously been investigated in mixed dimensions [8,9]. While atomic three-body systems in free space share many characteristics with the low-energy properties of few-nucleon systems [10], threeatom systems in a harmonic waveguide with cylindrical symmetry have no direct nuclear analog.…”

Section: Introductionmentioning

confidence: 99%

Three-body bound states in a harmonic waveguide with cylindrical symmetry

Blume

2014

Phys. Rev. A

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Highly-elongated quasi-one-dimensional cold atom samples have been studied extensively over the past years experimentally and theoretically. This work determines the energy spectrum of two identical fermions and a third distinguishable particle as functions of the mass ratio κ and the free-space s-wave scattering length a3D between the identical fermions and the distinguishable third particle in a cylindrically symmetric waveguide whose symmetry axis is chosen to be along the z-axis. We focus on the regime where the mass of the identical fermions is equal to or larger than that of the third distinguishable particle. Our theoretical framework accounts explicitly for the motion along the transverse confinement direction. In the regime where excitations in the transverse direction are absent (i.e., for states with projection quantum number M rel = 0), we determine the binding energies for states with odd parity in z. These full three-dimensional energies deviate significantly from those obtained within a strictly one-dimensional framework when the s-wave scattering length is of the order of or smaller than the oscillator length in the confinement direction. If transverse excitations are present, we predict the existence of a new class of universal three-body bound states with |M rel | = 1 and positive parity in z. These bound states arise on the positive s-wave scattering length side if the mass ratio κ is sufficiently large. Implications of our results for ongoing cold atom experiments are discussed.

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Stable heteronuclear few-atom bound states in mixed dimensions

Cited by 10 publications

References 50 publications

Efimov physics: a review

Efimov physics: a review

Optical lattices with large scattering length: Using few-body physics to simulate an electron-phonon system

Three-body bound states in a harmonic waveguide with cylindrical symmetry

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