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We study the localization of particles rotating in a two-dimensional harmonic potential by solving their rotational spectrum using many-particle quantum mechanics and comparing the result to that obtained with quantizing the rigid rotation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. -P. Nikkarila , M. Manninen

We consider controlled collisions between two ultracold atoms guided by external harmonic potentials. We derive analytical solutions of the Schroedinger equation for this system, and investigate the properties of eigenergies and eigenstates…

Quantum Gases · Physics 2009-10-30 Michał Krych , Zbigniew Idziaszek

We study the effects of the effective range of interaction on the eigenvalues and eigenstates of two particles confined in a three-dimensional (3D) isotropic as well as one- or quasi-one dimensional harmonic (1D) traps. For this we employ…

Atomic Physics · Physics 2016-09-15 Partha Goswami , Bimalendu Deb

We consider the resonance interaction energy between two identical entangled atoms, where one is in the excited state and the other in the ground state. They interact with the quantum electromagnetic field in the vacuum state and are placed…

Quantum Physics · Physics 2018-04-05 Valentina Notararigo , Roberto Passante , Lucia Rizzuto

We develop a multidimensional coupled channel method suitable for studying the interplay of bound state resonance and phonon assisted scattering of inert gas atoms from solid surfaces in one, two and three dimensions. This enables us to get…

Statistical Mechanics · Physics 2009-11-11 A. Siber , B. Gumhalter

For a gas of N bosons interacting through a two-body Morse potential a variational bound of the free energy of a confined system is obtained. The calculation method is based on the Feynman-Kac functional projected on the symmetric…

Condensed Matter · Physics 2009-10-31 J. Tempere , F. Brosens , L. F. Lemmens , J. T. Devreese

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

We provide an accurate calculation of the energy spectrum of three atoms interacting through a contact force in a one-dimensional harmonic trap, considering both spinful fermions and spinless bosons. We use fermionic energies as a benchmark…

Quantum Gases · Physics 2014-03-04 Pino D'Amico , Massimo Rontani

We study the confinement-induced resonance (CIR) of $^{173}$Yb atoms near an orbital Feshbach resonance in a quasi-one-dimensional tube with transversal anisotropy. By solving the two-body scattering problem, we obtain the location of CIR…

Quantum Gases · Physics 2018-11-21 Qing Ji , Ren Zhang , Xiang Zhang , Wei Zhang

Using a two-channel model, we investigate theoretically the binding energy of confinement-induced Feshbach molecules in two- and one-dimensional ultracold atomic systems, near a Feshbach resonance. We show that the two-channel prediction…

Quantum Gases · Physics 2012-10-09 Shi-Guo Peng , Hui Hu , Xia-Ji Liu , Kaijun Jiang

The Kondo effect describes the spin-exchanging interaction between localized impurity and the itinerant fermions. The ultracold alkaline-earth atomic gas provides a natural platform for quantum simulation of the Kondo model, utilizing its…

Quantum Gases · Physics 2017-12-08 Yanting Cheng , Ren Zhang , Peng Zhang , Hui Zhai

We study a two-component Bose gas with artificial spin-orbit coupling (SOC) which couples the center-of-mass momentum of atom to its internal states. We show that in this system resonance can be induced by tuning SOC strength. With a…

Quantum Gases · Physics 2018-10-10 Qi Gu , Lan Yin

We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries. When the motion of a Brownian particle is constrained to a region with uneven…

Statistical Mechanics · Physics 2009-06-05 P. S. Burada , G. Schmid , D. Reguera , J. M. Rubi , P. Hänggi

When two atoms interact in the presence of an anharmonic potential, such as an optical lattice, the center of mass motion cannot be separated from the relative motion. In addition to generating a confinement-induced resonance (or shifting…

Quantum Gases · Physics 2015-03-13 J. P. Kestner , L. -M. Duan

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

Exitation of atomic levels due to interaction with electromagnetic waves has been the subject of numerous works, both experimental and theoretical. This topic became of interest in accelerator physics in relation to high efficiency charge…

Pattern Formation and Solitons · Physics 2007-08-31 V. Danilov

We compute the pair entanglement between two interacting bosons in a two dimensional (2D)isotropic harmonic trap. The interaction potential is modeled by a 2D regularized pseudo-potential. By analytically decomposing the wave function into…

Quantum Physics · Physics 2009-10-12 B. Sun , M. Pindzola

The Heisenberg-Ising spin ladder is one of the few short-range models showing confinement of elementary excitations without the need of an external field, neither transverse nor longitudinal. This feature makes the model suitable for an…

Statistical Mechanics · Physics 2021-09-30 Gianluca Lagnese , Federica Maria Surace , Márton Kormos , Pasquale Calabrese

The microscopic properties of few interacting cold fermionic atoms confined in a two-dimensional (2D) harmonic trap are studied by numerical diagonalization. For repulsive interactions, a strong shell structure dominates, with Hund's rule…

Mesoscale and Nanoscale Physics · Physics 2009-02-10 M. Rontani , J. R. Armstrong , Y. Yu , S. Åberg , S. M. Reimann

We consider a quasi one-dimensional quantum dot composed of two Coulombically interacting electrons confined in a Gaussian trap. Apart from bound states, the system exhibits resonances that are related to the autoionization process.…

Mesoscale and Nanoscale Physics · Physics 2020-09-22 Arkadiusz Kuroś , Anna Okopińska