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We present a zero-range pseudopotential applicable for all partial wave interactions between neutral atoms. For p- and d-waves we derive effective pseudopotentials, which are useful for problems involving anisotropic external potentials.…

Quantum Physics · Physics 2009-11-11 Zbigniew Idziaszek , Tommaso Calarco

In a k-dimensional system of weakly interacting Bose atoms trapped by a spherically symmetric and harmonic external potential, an exact expression is obtained for the rotating ground states at a fixed angular momentum. The result is valid…

Statistical Mechanics · Physics 2009-11-07 O. K. Vorov , M. S. Hussein , P. Van Isacker

In present work, a relation that connects the integrated correlation function of a trapped two-particle system to infinite volume particles scattering phase shift is derived. It has the potential to provide an alternative approach for…

High Energy Physics - Lattice · Physics 2023-09-20 Peng Guo , Vladimir Gasparian

The search for a quasi bound $\eta$ meson in atomic nuclei is reviewed. This tentative state is studied theoretically as well as experimentally. The theory starts from elastic $\eta$ nucleon scattering which is derived from production data…

Nuclear Theory · Physics 2015-06-23 H. Machner

Intermediate energy scale physics plays a very important role in non-equilibrium dynamics of quasi-low dimensional cold atom systems. In this article we obtain the universal scaling relations for the generalized reflection coefficient,…

Quantum Gases · Physics 2016-10-31 Jeff Maki , Fei Zhou

Interesting theories with short range interactions include QCD in the hadronic phase and cold atom systems. The scattering length in two-to-two elastic scattering process captures the most elementary features of the interactions, such as…

High Energy Physics - Theory · Physics 2020-03-04 Carlos Hoyos , Niko Jokela , Daniel Logares

Four identical spinless bosons with purely attractive two-body short-range interactions and repulsive three-body interactions under external spherically symmetric harmonic confinement are considered. The repulsive three-body potential…

Quantum Gases · Physics 2018-04-04 D. Blume , M. W. C. Sze , J. L. Bohn

We investigate how environment-induced interactions influence the entanglement dynamics of two static atoms placed near a perfectly reflecting boundary. In this setting, the environment-induced interactions include both atom-boundary…

Quantum Physics · Physics 2026-03-02 Ying Chen , Hongwei Yu , Jiawei Hu

The motion of two attractively interacting atoms in an optical lattice is investigated in the presence of a scattering potential. The initial wavefunction can be prepared by using tightly bound exact two-particle eigenfunction for vanishing…

Quantum Gases · Physics 2010-02-25 Christoph Weiss

We study the quasiparticle excitation and quench dynamics of the one-dimensional transverse-field Ising model with power-law ($1/r^{\alpha}$) interactions. We find that long-range interactions give rise to a confining potential, which…

We investigate the interaction of metastable 2S hydrogen atoms with a perfectly conducting wall, including parity-breaking S-P mixing terms (with full account of retardation). The neighboring 2P_1/2 and 2P_3/2 levels are found to have a…

Quantum Physics · Physics 2015-01-23 U. D. Jentschura

The exact two-particle energy eigenstates in an asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are…

High Energy Physics - Lattice · Physics 2009-11-10 Xin Li , Chuan Liu

Superradiance and subradiance are collective effects that emerge from coherent interactions between quantum emitters. Due to their many-body nature, theoretical studies of extended samples with length larger than the atomic transition…

Quantum Physics · Physics 2022-12-02 Oriol Rubies-Bigorda , Susanne F. Yelin

We address the issue of bound state in the two-nucleon system in lattice QCD. Our study is made in the quenched approximation at the lattice spacing of a = 0.128 fm with a heavy quark mass corresponding to m_pi = 0.8 GeV. To distinguish a…

High Energy Physics - Lattice · Physics 2019-08-14 T. Yamazaki , Y. Kuramashi , A. Ukawa

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

In this work, we uncover new features on the study of a two-level atom interacting with one of two cavities in a coherent superposition. The James-Cummings model is used to describe the atom-field interaction and to study the effects of…

Quantum Physics · Physics 2023-12-13 L. O. Castaños-Cervantes , Lorenzo M. Procopio , Marco Enríquez

We describe the properties of a pair of ultracold bosonic atoms in a one-dimensional harmonic trapping potential with a tunable zero-ranged barrier at the trap centre. The full characterisation of the ground state is done by calculating the…

Quantum Physics · Physics 2009-11-13 D. S. Murphy , J. F. McCann , J. Goold , Th. Busch

In view of recent experiments on ultra-cold polarized fermions, the zero-range potential approach is generalized to situations where two-body scattering is resonant in the p-wave channel. We introduce a modified scalar product which reveals…

Other Condensed Matter · Physics 2007-05-23 Ludovic Pricoupenko

The scattering length is commonly used to characterize the strength of ultracold atomic interactions, since it is the leading parameter in the low-energy expansion of the scattering phase shift. Its value can be modified via a magnetic…

Atomic Physics · Physics 2009-11-13 Bout Marcelis , Boudewijn Verhaar , Servaas Kokkelmans

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…

Quantum Gases · Physics 2014-09-26 Zhihao Lan , Carlos Lobo
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