Suppression of quantum scattering in strongly confined systems.

@article{Kim2006SuppressionOQ,
  title={Suppression of quantum scattering in strongly confined systems.},
  author={J. I. Kim and Vladimir S. Melezhik and Peter Schmelcher},
  journal={Physical review letters},
  year={2006},
  volume={97 19},
  pages={
          193203
        }
}
We demonstrate that scattering of particles strongly interacting in three dimensions (3D) can be suppressed at low energies in a quasi-one-dimensional (1D) confinement. The underlying mechanism is the interference of the s- and p-wave scattering contributions with large s- and p-wave 3D scattering lengths being a necessary prerequisite. This low-dimensional quantum scattering effect might be useful in "interacting" quasi-1D ultracold atomic gases, guided atom interferometry, and impurity… 
View on PubMed
arxiv.org
45 Citations
Background Citations
7
Methods Citations
2
Results Citations
1

Figures from this paper

45 Citations

Confinement-induced resonances in two-center problem via a pseudopotential approach

We study confined scattering of a quantum particle by two centers fixed on the longitudinal axis of a harmonic waveguide-like trap. The conditions of confinement-induced resonances (CIRs) appearing…

Resonant d-wave scattering in harmonic waveguides

We observe and analyze d-wave resonant scattering of bosons in tightly confining harmonic waveguides. It is shown that the d-wave resonance emerges in the quasi-1D regime as an imprint of a 3D d-wave…

Multichannel atomic scattering and confinement-induced resonances in waveguides

We develop a grid method for multi-channel scattering of atoms in a waveguide with harmonic confinement. This approach is employed to extensively analyze the transverse excitations and deexcitations…

Quantum scattering problem without partial-wave analysis

We have suggested a method for treating different quantum few-body dynamics without traditional using of the partial-wave analysis. It happened that this approach was very efficient in quantitative…

Quantum dynamics of resonant molecule formation in waveguides

We explore the quantum dynamics of heteronuclear atomic collisions in waveguides and demonstrate the existence of a novel mechanism for the resonant formation of polar molecules. The molecular…

Coupled ℓ -wave confinement-induced resonances in cylindrically symmetric waveguides

A semianalytical approach to atomic waveguide scattering for harmonic confinement is developed, taking into account all partial waves. As a consequence $\ensuremath{\ell}$-wave confinement-induced…

Resonances in ultracold collisions confined by atomic traps

We have developed a method for treating ultracold pair collisions in confined geometry of tight atomic waveguides. With this approach we have predicted and analyzed a few novel resonant and…

Dipolar confinement-induced resonances of ultracold gases in waveguides.

A nonperturbative theoretical framework to treat collisions with generic anisotropic interactions in quasi-one-dimensional geometries and predicts dipolar confinement-induced resonances (DCIRs) which are attributed to different angular momentum states.

Landau quantization effects in ultracold atom–ion collisions

We study ultracold atom–ion collisions in the presence of an external magnetic field. At low collision energy the field can drastically modify the translational motion of the ion, which follows…

Confinement-induced resonance with weak background interaction

We studied the scattering problem of two distinguishable atoms with unequal mass, where one atom (atom $\alpha$) is trapped in a quasi-one-dimensional (quasi-1D) tube and the other one (atom $\beta$)…

References

SHOWING 1-10 OF 50 REFERENCES

Quantum scattering in quasi-one-dimensional cylindrical confinement (15 pages)

Finite-size effects not only alter the energy levels of small systems, but can also lead to additional effective interactions within these systems. Here the problem of low-energy quantum scattering…

Confinement induced molecules in a 1D Fermi gas.

The strongly interacting one-dimensional Fermi gas which is created in an optical lattice represents a realization of a tunable Luttinger liquid and is in good agreement with theory.

Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement.

A multichannel scattering theory for atom-atom collisions in quasi-1D geometries is developed and it is shown that tightly confined fermions have infinitely strong interactions at a particular value of the 3D, free-space p-wave scattering volume.

Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons

We calculate, within the pseudopotential approximation, a one-dimensional scattering amplitude and effective one-dimensional interaction potential for atoms confined transversally by an atom…

p-Wave interactions in low-dimensional fermionic gases.

A spin-polarized degenerate Fermi gas interacting via a p-wave Feshbach resonance in an optical lattice is studied to realize one- and two-dimensional gases and, therefore, to restrict the asymptotic scattering states of atomic collisions.

Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps

We solve the two-particle s-wave scattering problem for ultracold atom gases confined in arbitrary quasi-one-dimensional (1D) trapping potentials, allowing for two different atom species. As a…

Atom-Atom Scattering under Cylindrical Harmonic Confinement: Numerical and Analytic Studies of the Confinement Induced Resonance.

A physical interpretation of the atom-atom scattering under transverse harmonic confinement is presented as a novel type of Feshbach resonance in which the transverse modes of the confining potential assume the roles of "open" and "closed" scattering channels.

Theory of a one-dimensional double-X-junction atom interferometer

The dynamics of an atom waveguide X-junction beam splitter becomes truly one dimensional in a regime of low temperatures and densities and large positive scattering lengths where the transverse mode…

Limits to phase resolution in matter-wave interferometry (9 pages)

We study the quantum dynamics of a two-mode Bose-Einstein condensate in a time-dependent symmetric double-well potential using analytical and numerical methods. The effects of internal degrees of…

Observation of dipole-dipole interaction in a degenerate quantum gas.

The measurements are consistent with the theory of dipolar quantum gases and show that a chromium condensate is an excellent model system to study dipolar interactions in such gases.