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We theoretically investigate the confinement-induced resonance for quasi-one-dimensional quan- tum systems under transversely anisotropic confinement, using a two-body s-wave scattering model in the zero-energy collision limit. We predict a…

Quantum Gases · Physics 2011-01-04 Shi-Guo Peng , Seyyed S. Bohloul , Xia-Ji Liu , Hui Hu , Peter D. Drummond

We study atom-atom scattering in quasi-one-dimensional geometries with transverse anisotropy. By assuming an s-wave pseudo-potential of contact interaction, we show that the system would exhibit a single confinement-induced resonance, where…

Quantum Gases · Physics 2011-12-05 Wei Zhang , Peng Zhang

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 $\beta$) is localized by a 3D harmonic trap. We…

Quantum Gases · Physics 2019-12-11 Ren Zhang , Peng Zhang

Confinement induced resonance (CIR) is a useful tool for the control of the interaction between ultracold atoms. In most cases the CIR occurs when the characteristic length atrap of the confinement is similar as the scattering length as of…

Atomic Physics · Physics 2019-10-11 Dawu Xiao , Ren Zhang , Peng Zhang

We develop a non-perturbative theoretical framework to treat collisions with generic anisotropic interactions in quasi-one-dimensional geometries. Our method avoids the limitations of pseudopotential theory allowing to include accurately…

Quantum Gases · Physics 2015-06-15 P. Giannakeas , V. S. Melezhik , P. Schmelcher

We theoretically study the width of the s-wave confinement-induced resonance (CIR) in quasi-one-dimensional atomic gases under tunable transversely anisotropic confinement. We find that the width of the CIR can be tuned by varying the…

Quantum Gases · Physics 2017-11-27 Fang Qin , Jian-Song Pan , Su Wang , Guang-Can Guo

We have investigated the quantum dynamics of two ultracold bosons inside an atomic waveguide for two different confinement geometries (cigar-shaped and toroidal waveguides) by quantum Monte Carlo methods. For quasi-1D gases, the confining…

Atomic Physics · Physics 2016-11-01 Sajad Azizi , Shahpoor Saeidian

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 in these systems, when scattering cross…

Quantum Physics · Physics 2019-03-27 Sara Shadmehri , Vladimir S. Melezhik

We investigate confinement-induced resonances in a system composed by a tightly trapped ion and a moving atom in a waveguide. We determine the conditions for the appearance of such resonances in a broad region -- from the "long-wavelength"…

Atomic Physics · Physics 2016-08-24 Vladimir S. Melezhik , Antonio Negretti

We theoretically investigate the role of confinement-induced resonances (CIRs) in low-dimensional ultracold atomic mixtures for the formation of weakly bound dimers. To this end, we examine the scattering properties of a binary atomic…

Recently, it was shown that the coupling of center-of-mass and relative motion in atomic systems leads to inelastic confinement-induced resonances (ICIRs) [Phys. Rev. Lett. 109, 073201 (2012)]. In the present work, the possible occurrence…

Mesoscale and Nanoscale Physics · Physics 2015-09-04 Maria Troppenz , Simon Sala , Philipp-Immanuel Schneider , Alejandro Saenz

We develop a theoretical framework for the quasi-low-dimensional confinement-induced resonances (CIRs) of particles with the arbitrary three-dimensional two-body interactions, based on the Huang-Yang pseudopotential and the treatment of…

Quantum Gases · Physics 2014-10-29 Tao Shi , Su Yi

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 as well as resonant scattering processes.…

Atomic Physics · Physics 2009-11-13 Shahpoor Saeidian , Vladimir S. Melezhik , Peter Schmelcher

In a recent article [M. Olshanii, Phys. Rev. Lett. {\bf 81}, 938 (1998)], an analytic solution of atom-atom scattering with a delta-function pseudopotential interaction in the presence of transverse harmonic confinement yielded an effective…

Condensed Matter · Physics 2009-11-07 T. Bergeman , M. G. Moore , M. Olshanii

Confinement induced resonances (CIR) in quasi-1D systems have been theoretically predicted and observed in various ultracold atomic gases. Here a regularized local frame transformation method is developed to treat CIR in a quasi-1D system…

Atomic Physics · Physics 2013-07-31 Chen Zhang , Chris H. Greene

We report on the observation of confinement-induced resonances in strongly interacting quantum-gas systems with tunable interactions for one- and two-dimensional geometry. Atom-atom scattering is substantially modified when the s-wave…

Using complex analysis, we have investigated classical quasi-one-dimensional atom-atom scattering under 2D harmonic confinement with two different interaction potential (Yukawa and Lennard-Jones) and found that the Confinement-Induced…

Quantum Physics · Physics 2019-11-05 Saeed Samadi , Bahman Farnudi , Shahpoor Saeidian

We analyze the impact of multichannel scattering in harmonic waveguides on the positions and widths of confinement-induced resonances for both isotropic and anisotropic transversal confinement. Multichannel scattering amplitudes and…

Quantum Physics · Physics 2011-10-21 Vladimir S. Melezhik , Peter Schmelcher

A theoretical model is presented describing the confinement-induced resonances observed in the recent loss experiment of Haller et al. [Phys. Rev. Lett. 104, 153203 (2010)]. These resonances originate from possible molecule formation due to…

Atomic Physics · Physics 2013-05-30 Simon Sala , Philipp-Immanuel Schneider , Alejandro Saenz

We study the effective one-dimensional (1D) scattering of two distinguishable atoms confined individually by {\em separated} transverse harmonic traps. With equal trapping frequency for two s-wave interacting atoms, we find that by tuning…

Quantum Gases · Physics 2012-01-17 Wenbo Fu , Zhenhua Yu , Xiaoling Cui
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