Suppression of Quantum Scattering in Strongly Confined Systems

Abstract

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 scattering in strongly confined quantum wire-based electronic devices.

Confinement-induced resonances in ultracold atom-ion systems

“…Moreover, the condition (5) defining the appearance of CIR does not have any reliance on the atomic mass. In a series of works [42,43,49], the condition (5) was confirmed by numerically computing the poles of the coupling constant g 1D (k, a ⊥ /a 3D ) at k → 0. Interestingly, it was recently shown that Eq.…”

“…Note that in this limit we have [42,43,49], that is, we have total reflection of the colliding particles. Moreover, the condition (5) defining the appearance of CIR does not have any reliance on the atomic mass.…”

Energy-dependentℓ-wave confinement-induced resonances

“…In addition, we study the energy dependence of the corresponding CIRs and observe that all the CIRs can occur even when the two-body potential cannot sustain a weakly bound or quasi-bound state. Moreover, for the energy dependent d-and f -wave CIRs we observe the bosonic and fermionic counterpart of the dual CIR [17], i.e. total transparency (T = 1), which occurs due to the destructive interference of s − d and p − f wave scattering, respectively.…”

“…Therefore this feature of CIR corresponds to the bosonic and fermionic dual CIR which has been discussed in Ref. [17] for distinguishable particles. Figures 7, 8 and 9 present a convenient visualization of the energy dependence of the transmission extrema for s-, p-, d-and f -wave (dual) CIRs.…”

“…Recent experimental advances allowed to explore the corresponding physics of CIRs in quasi-one-and quasi-two-dimensional (quasi-1D and quasi-2D) waveguide geometries [11][12][13][14][15] or in mixed dimensional scattering processes [16]. Complementing the experimental studies, substantial theoretical efforts exhibit a kaleidoscope of confinement-induced processes, such as dual [17] and higher partial wave CIRs [18,19], multichannel [20][21][22][23] or anharmonic CIRs [24][25][26] and CIR molecule formation [27] or dipolar CIRs [28][29][30]. Further studies on CIR effects focus on the impact of various confining geometries, such as quasi-2D either harmonic [31,32] or square well [33], and lattice potentials [34][35][36], or collisions in mixed dimensions [37].…”