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Related papers: Conditions for Efimov Physics for Finite Range Pot…

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We study three same spin state fermions of mass M interacting with a distinguishable particle of mass m in the unitary limit where the interaction has a zero range and an infinite s-wave scattering length. We predict an interval of mass…

Quantum Gases · Physics 2015-05-19 Yvan Castin , Christophe Mora , Ludovic Pricoupenko

We use the dressed potentials obtained in the adiabatic representation of two coupled channels to calculate s-wave Feshbach resonances in a 3D spherically symmetric potential with an open channel interacting with a closed channel. Analytic…

Atomic Physics · Physics 2014-11-26 T. Wasak , M. Krych , Z. Idziaszek , M. Trippenbach , Y. Avishai , Y. B. Band

Three-body loss resonances associated with heavy-heavy-light Efimov states have been observed for over a decade in ultracold mixtures tuned near interspecies Feshbach resonances. For light-light-heavy systems, observing such resonances has…

Quantum Gases · Physics 2025-12-24 Karim I. Elghazawy , Chris H. Greene

We calculated, using seven realistic 4He-4He potentials in the literature, the Efimov spectra of the 4He trimer and tetramer and analyzed the universality of the systems. The three-(four-)body Schroedinger equations were solved fully…

Quantum Gases · Physics 2014-11-20 E. Hiyama , M. Kamimura

A Fermi gas of cold atoms allows precise control over the dimensionless effective range, $k_\mathrm{F} R_\mathrm{eff}$, of the Feshbach resonance. Our pseudopotential formalism allows us to create smooth potentials with effective range, $-2…

Quantum Gases · Physics 2017-02-07 L. M. Schonenberg , G. J. Conduit

We investigate the occurrence of Borromean three-body continuum s-wave resonances, in an $\alpha\alpha\beta$ system for large negative two-body scattering lengths. The energy and width are determined by a scaling function with arguments…

Quantum Gases · Physics 2015-03-17 F. Bringas , M. T. Yamashita , T. Frederico , L. Tomio

We formulate a method to study two-body correlations in a system of N identical bosons interacting via central two-body potentials. We use the adiabatic hyperspherical approach and assume a Faddeev-like decomposition of the wave function.…

Condensed Matter · Physics 2009-11-07 O. Sørensen , D. V. Fedorov , A. S. Jensen

The lowest order constrained variational method [Phys. Rev. Lett. {\bf 88}, 210403 (2002)] has been generalized for a dilute (in the sense that the range of interatomic potential is small compared with inter-particle spacing) uniform gas of…

Soft Condensed Matter · Physics 2009-11-07 Yeong. E. Kim , Alexander L. Zubarev

A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to…

Statistical Mechanics · Physics 2007-05-23 V. A. Yurovsky

We have analyzed our recently-measured three-body loss rate coefficient for a Bose-Einstein condensate of spin-polarized metastable triplet 4He atoms in terms of Efimov physics. The large value of the scattering length for these atoms,…

Quantum Gases · Physics 2012-12-18 S. Knoop , J. S. Borbely , W. Vassen , S. J. J. M. F. Kokkelmans

We show that there exist two types of universal phenomena for three-boson systems with isospin degrees of freedom. In the isospin symmetric limit, there is only one universal three-boson bound state with the total isospin one, whose binding…

High Energy Physics - Phenomenology · Physics 2014-03-11 Tetsuo Hyodo , Tetsuo Hatsuda , Yusuke Nishida

We demonstrate the emergence of universal Efimov physics for interacting photons in cold gases of Rydberg atoms. We consider the behavior of three photons injected into the gas in their propagating frame, where a paraxial approximation…

We study three- and four-body Efimov physics in a heteronuclear atomic system with three identical heavy bosonic atoms and one light atom. We show that exchange of the light atom between the heavy atoms leads to both three- and four-body…

Atomic Physics · Physics 2012-02-27 Yujun Wang , W. Blake Laing , Javier von Stecher , B. D. Esry

$N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the…

Quantum Gases · Physics 2024-10-09 Ludovic Pricoupenko

We calculate numerically the exact energy spectrum of the six dimensional problem of two interacting Bosons in a three-well optical lattice. The particles interact via a full Born-Oppenheimer potential which can be adapted to model the…

Quantum Physics · Physics 2010-12-16 Philipp-Immanuel Schneider , Sergey Grishkevich , Alejandro Saenz

When three particles in three dimensions interact with a short-range potential fine-tuned to an infinite scattering length, they form an infinite sequence of loosely bound states obeying discrete scale invariance known as Efimov states.…

Atomic Physics · Physics 2024-12-04 Yusuke Nishida

A filtering method is introduced for solving the zero-range three-boson problem. This scheme permits to solve the original Skorniakov Ter-Martirosian integral equation for an arbitrary large Ultra-Violet cut-off and to avoid the Thomas…

Quantum Gases · Physics 2010-11-03 Ludovic Pricoupenko

Ultracold atomic gases have developed into prime systems for experimental studies of Efimov three-body physics and related few-body phenomena, which occur in the universal regime of resonant interactions. In the last few years, many…

Quantum Gases · Physics 2011-10-21 F. Ferlaino , A. Zenesini , M. Berninger , B. Huang , H. -C. Nägerl , R. Grimm

These lectures contain a theoretical introduction to the few-body problem with short-range resonant binary interactions. In the first part we discuss the effective range expansion for the two-body scattering amplitude emphasizing the role…

Quantum Gases · Physics 2015-03-20 D. S. Petrov

Three identical bosons or fermions are considered in the limit of zero-range interactions and finite effective range. By using a two channel model, we show that these systems are not integrable and that the wave function verifies specific…

Quantum Gases · Physics 2016-03-25 Tom Kristensen , Ludovic Pricoupenko