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It is well-known that cold atoms near s-wave Feshbach resonances have universal properties that are insensitive to the short-range details of the interaction. What is less known is that atoms near higher partial wave Feshbach resonances…

Statistical Mechanics · Physics 2026-03-25 Shangguo Zhu , Shina Tan

In this work we discuss the atomic states in a vertical optical lattice in proximity of a surface. We study the modifications to the ordinary Wannier-Stark states in presence of a surface and we characterize the energy shifts produced by…

Quantum Physics · Physics 2015-05-27 Riccardo Messina , Sophie Pelisson , Marie-Christine Angonin , Peter Wolf

The two-body scattering amplitude and energy spectrum of confined ultracold atoms are of fundamental importance for studies of ultracold atom physics. For many systems, one can efficiently calculate these quantities via the zero-range…

Quantum Gases · Physics 2022-02-15 Da-Wu Xiao , Ren Zhang , Peng Zhang

We investigate the on-shell approximation in the context of s-wave scattering for ultracold two-body collisions. Our analysis systematically covers spatial dimensions D=1,2,3 , with the aim of identifying the regimes in which the…

Quantum Gases · Physics 2025-11-21 Francesco Lorenzi , Luca Salasnich

The advances in cold atom experiments have allowed construction of confining traps in the form of curved surfaces. This opens up the possibility of studying quantum gases in curved manifolds. On closed surfaces, many fundamental processes…

Quantum Gases · Physics 2018-05-25 Jian Zhang , Tin-Lun Ho

We study the properties of bound states in waveguide-QED systems consisting of multiple giant atoms coupled to a coupled-resonator waveguide. Based on the general analytical expressions for these states and the corresponding energy spectra,…

Quantum Physics · Physics 2024-04-17 W. Z. Jia , M. T. Yu

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

High Energy Physics - Lattice · Physics 2019-08-14 T. Yamazaki

Non-relativistic quantum particles bounded to a curve in R^2 by attractive contact $\delta$-interaction are considered. The interval between the energy of the transversal bound state and zero is shown to belong to the absolutely continuous…

Mathematical Physics · Physics 2020-08-13 J. Dittrich

The scattering of two charged strongly interacting particles is described on the basis of the P-matrix approach. In the P matrix, it is proposed to isolate explicitly the background term corresponding to purely Coulomb interaction, whereby…

Nuclear Theory · Physics 2007-05-23 V. A. Babenko , N. M. Petrov

We consider a trapped atomic ensemble of interacting bosons in the presence of a single trapped ion in a quasi one dimensional geometry. Our study is carried out by means of the newly developed multilayer-multiconfiguration time-dependent…

Quantum Gases · Physics 2015-04-14 J. M. Schurer , P. Schmelcher , A. Negretti

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise…

Atomic Physics · Physics 2019-11-25 P. M. A. Mestrom , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

We have discovered an unexpected and surprising fact: a 2D axially symmetric short-range potential contains {\it infinite} number of the levels of negative energy {\it if one takes into account the spin-orbit (SO) interaction.} For a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. V. Chaplik , L. I. Magarill

By two-color photoassociation of $^{40}$Ca four weakly bound vibrational levels in the Ca$_2$ \Xpot ground state potential were measured, using highly spin-forbidden transitions to intermediate states of the coupled system $^3\Pi_{u}$ and…

Atomic Physics · Physics 2017-05-24 Evgenij Pachomow , Veit Peter Dahlke , Eberhard Tiemann , Fritz Riehle , Uwe Sterr

The onset of retardation effects in atom-wall interactions is studied. It is shown that the transition range from the 1/z^3 short-range (van der Waals) interaction to the 1/z^4 long-range (Casimir) retarded interaction critically depends on…

Other Condensed Matter · Physics 2024-03-18 T. Das , C. A. Ullrich , U. D. Jentschura

We theoretically investigate trapped ions interacting with atoms that are coupled to Rydberg states. The strong polarizabilities of the Rydberg levels increases the interaction strength between atoms and ions by many orders of magnitude, as…

Quantum Physics · Physics 2016-07-27 Thomas Secker , Rene Gerritsma , Alexander W. Glaetzle , Antonio Negretti

Based on a baryon-baryon interaction model with meson exchanges, we investigate the origin of the strong attraction in the $N \Omega ( {}^{5}S_{2} )$ interaction, which was indicated by recent lattice QCD simulations. The long range part of…

High Energy Physics - Phenomenology · Physics 2018-07-25 Takayasu Sekihara , Yuki Kamiya , Tetsuo Hyodo

Amplifying on a proposal by O'Dell et al. for the realization of Bose-Einstein condensates of neutral atoms with attractive $1/r$ interaction, we point out that the instance of self-trapping of the condensate, without external trap…

Quantum Physics · Physics 2007-11-07 I. Papadopoulos , P. Wagner , G. Wunner , J. Main

We consider the spectrum of two ultracold harmonically trapped atoms interacting via short-range interactions. The Green's function approach is used to unify the two and three dimensional cases. We derive criteria for the universality of…

Quantum Gases · Physics 2012-05-03 N. T. Zinner

Quantum vacuum forces dictate the interaction between individual atoms and dielectric surfaces at nanoscale distances. For example, their large strengths typically overwhelm externally applied forces, which makes it challenging to…

Quantum Physics · Physics 2015-06-17 D. E. Chang , K. Sinha , J. M. Taylor , H. J. Kimble

We investigate the energy spectrum of systems of two, three and four spin-1/2 fermions with short range attractive interactions both exactly, and within the scattering length approximation. The formation of molecular bound states and the…

Quantum Gases · Physics 2011-09-09 S. Q. Zhou , D. M. Ceperley , Shiwei Zhang