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We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-wave pseudopotential with an energy-dependent…

原子物理 · 物理学 2013-05-29 Zbigniew Idziaszek

Two-particle scattering in graphene is a multichannel problem, where the energies of the identical or opposite-helicity channels lie in disjoint energy segments. Due to the absence of Galilean invariance, these segments depend on the total…

介观与纳米尺度物理 · 物理学 2014-01-23 C. Gaul , F. Domínguez-Adame , F. Sols , I. Zapata

Feshbach resonances in ultracold collisions often result from an interplay between many collision channels. Simple two-channel models can be introduced to capture the basic features, but cannot fully reproduce the situation when several…

原子物理 · 物理学 2013-11-07 Krzysztof Jachymski , Paul S. Julienne

Three-body collisions of ultracold identical Bose atoms under tight cylindrical confinement are analyzed. A Feshbach resonance in two-body collisions is described by a two-channel zero-range interaction. Elimination of the closed channel in…

原子物理 · 物理学 2007-05-23 V. A. Yurovsky , A. Ben-Reuven , M. Olshanii

A semi-analytical approach to atomic waveguide scattering for harmonic confinement is developed taking into account all partial waves. As a consequence $\ell$-wave confinement-induced resonances are formed being coupled to each other due to…

量子气体 · 物理学 2015-06-05 P. Giannakeas , F. K. Diakonos , P. Schmelcher

This work investigates how the closed channel of a Feshbach resonance is characterised by experimental observables. Surprisingly, it is found that the two-body observables associated with the Feshbach resonance can be insensitive to the…

量子气体 · 物理学 2025-02-05 Pascal Naidon

A zero-range approach to atom-molecule coupling is developed in analogy to the Fermi-Huang pseudo-potential treatment of atom-atom interactions. It is shown by explicit comparison to an exactly-solvable finite-range model that replacing the…

其他凝聚态物理 · 物理学 2009-11-11 M. G. Moore

We consider a three-boson system with resonant binary interactions and show that three-body observables depend only on the resonance width and the scattering length. The effect of narrow resonances is qualitatively different from that of…

统计力学 · 物理学 2007-05-23 D. S. Petrov

The interactions responsible for Feshbach resonances in binary atom collisions produce a condensate of molecules in the atomic BEC-system. We discuss the `ground state' of the condensate system and illustrate that its properties differ…

凝聚态物理 · 物理学 2007-05-23 Paolo Tommasini , Eddy Timmermans , Mahir Hussein , Arthur Kerman

We study the weak-tunnelling limit for a system of cold 40K atoms trapped in a one-dimensional optical lattice close to an s-wave Feshbach resonance. We calculate the local spectrum for three atoms at one site of the lattice within a…

量子气体 · 物理学 2010-02-26 T. Duric , A. F. Ho , D . K. K. Lee

Cold inelastic collisions of atoms or molecules are analyzed using very general arguments. In free space, the deactivation rate can be enhanced or suppressed together with the scattering length of the corresponding elastic collision via a…

原子物理 · 物理学 2007-05-23 V. A. Yurovsky , Y. B. Band

We study a spin-polarized degenerate Fermi gas interacting via a p-wave Feshbach resonance in an optical lattice. The strong confinement available in this system allows us to realize one- and two-dimensional gases and therefore to restrict…

其他凝聚态物理 · 物理学 2011-07-19 Kenneth Günter , Thilo Stöferle , Henning Moritz , Michael Köhl , Tilman Esslinger

We consider Feshbach scattering of fermions in a one-dimensional optical lattice. By formulating the scattering theory in the crystal momentum basis, one can exploit the lattice symmetry and factorize the scattering problem in terms of…

原子与分子团簇 · 物理学 2009-11-13 M. Grupp , R. Walser , W. P. Schleich , A. Muramatsu , M. Weitz

We describe the collisional interaction between two different atoms that are trapped in a harmonic potential. The atoms are exposed to a magnetic field, which is modulated in the vicinity of an s-wave Feshbach resonance, and we study the…

其他凝聚态物理 · 物理学 2007-06-29 Jesper Fevre Bertelsen , Klaus Molmer

We solve the two-particle s-wave scattering for an ultracold atom gas confined in a quasi-one-dimensional trapping potential which is periodically modulated. The interaction between the atoms is included in terms of Fermi's pseudopotential.…

原子物理 · 物理学 2017-09-15 Vicente Leyton , Maryam Roghani , Vittorio Peano , Michael Thorwart

We present a two-channel model to describe the quantum state of two atoms with finite-range interaction near a Feshbach resonance. This model provides a simple picture to analytically derive the wave function and the binding energy of the…

其他凝聚态物理 · 物理学 2007-05-23 Cheng Chin

In this chapter, we describe scattering resonance phenomena in general, and focus on the mechanism of Feshbach resonances, for which a multi-channel treatment is required. We derive the dependence of the scattering phase shift on magnetic…

量子气体 · 物理学 2017-08-23 S. J. J. M. F. Kokkelmans

We study the resonant effects produced when a Feshbach dimer crosses a scattering continuum band of atoms in an optical lattice. We numerically obtain the exact spectrum of two particles in a one-dimensional lattice and develop an effective…

量子气体 · 物理学 2011-06-08 Javier von Stecher , Victor Gurarie , Leo Radzihovsky , Ana Maria Rey

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…

统计力学 · 物理学 2026-03-25 Shangguo Zhu , Shina Tan

The energy spectrum and corresponding wave functions of two bosonic particles confined in a spherically symmetric shell trap and interacting via a three-dimensional zero-range potential are computed. Confinement-induced resonances,…

量子物理 · 物理学 2025-07-01 C. Moritz Carmesin , Maxim A. Efremov