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We derive the asymptotic expansions of the wave function of three particles having equal mass with finite-range interactions and infinite or zero two-dimensional scattering length colliding at zero energy and zero orbital angular momentum,…

Quantum Gases · Physics 2024-04-30 Junjie Liang , Shina Tan

We consider the problem of two heavy impurity particles embedded in a gas of weakly-interacting light mass bosonic particles in the condensed state. Using the Bogoliubov approach to describe the bosonic gas and the Born-Oppenheimer…

Quantum Gases · Physics 2013-04-04 N. T. Zinner

The existence of the Efimov effect is drastically affected by the dimensionality of the space in which the system is embedded. The effective spatial dimension containing an atomic cloud can be continuously modified by compressing it in one…

Atomic Physics · Physics 2018-05-16 D. S. Rosa , T. Frederico , G. Krein , M. T. Yamashita

The conditions for occurrence of the Efimov effect is briefly described using hyperspherical coordinates. The strength of the effective hyperradial $\rho^{-2}$ potential appearing for two or three large scattering lengths is computed and…

Atomic Physics · Physics 2009-11-10 A. S. Jensen , D. V. Fedorov

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing…

Nuclear Theory · Physics 2014-02-26 M. R. Hadizadeh , S. Bayegan

Spin-orbit coupled cold atom systems, governed by Hamiltonians that contain quadratic kinetic energy terms typical for a particle's motion in the usual Schr\"odinger equation and linear kinetic energy terms typical for a particle's motion…

Quantum Gases · Physics 2018-07-23 Q. Guan , D. Blume

We consider weakly interacting bosonic gases with local and non-local multi-body interactions. By using the Bogoliubov approximation, we first investigate contact interactions, studying the case in which the interparticle potential can be…

Quantum Gases · Physics 2017-10-10 D. Laghi , T. Macrì , A. Trombettoni

We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions,…

Mathematical Physics · Physics 2015-04-14 Douglas Lundholm , Fabian Portmann , Jan Philip Solovej

We report on the observation of triatomic Efimov resonances in an ultracold gas of cesium atoms. Exploiting the wide tunability of interactions resulting from three broad Feshbach resonances in the same spin channel, we measure…

Boson droplets (i.e., dense assemblies of bosons at low temperature) are shown to mask a significant amount of single-particle behavior and to manifest collective, droplet-wide excitations. To investigate the balance between single-particle…

Mathematical Physics · Physics 2012-03-06 Stephen Pankavich , Zeina Zhreif , Yong Chen , Peter Ortoleva

We investigate effects of three-body contact interactions on a trapped dipolar Bose gas at finite temperature using the Hartree-Fock-Bogoliubov approximation. We analyze numerically the behavior of the transition temperature and the…

Quantum Gases · Physics 2018-01-17 Abdelaali Boudjemaa

We determined perturbatively the low-energy universal thermodynamics of dilute one-dimensional bosons with the three-body repulsive forces. The final results are presented for the limit of vanishing potential range in terms of…

Quantum Gases · Physics 2019-03-27 Volodymyr Pastukhov

We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result…

Quantum Gases · Physics 2024-01-25 Shimpei Endo , Yvan Castin

The two and three-body contacts are central to a set of univeral relations between microscopic few-body physics within an ultracold Bose gas and its thermodynamical properties. They may also be defined in trapped few-particle systems, which…

Quantum Gases · Physics 2019-02-01 V. E. Colussi

The field of few-body physics has originally been motivated by understanding nuclear matter. New model systems to experimentally explore few-body quantum systems can now be realized in ultracold gases with tunable interactions. Albeit the…

Other Condensed Matter · Physics 2009-11-13 S. Knoop , F. Ferlaino , M. Mark , M. Berninger , H. Schoebel , H. -C. Naegerl , R. Grimm

Strongly interacting one-dimensional quantum systems often behave in a manner that is distinctly different from their higher-dimensional counterparts. When a particle attempts to move in a one-dimensional environment it will unavoidably…

We study a three-body system, formed by two identical heavy bosons and a light particle, in the Born-Oppenheimer approximation for an arbitrary dimension $D$. We restrict $D$ to the interval $2\,<\,D\,<\,4$, and derive the heavy-heavy…

Atomic Physics · Physics 2018-12-05 D. S. Rosa , T. Frederico , G. Krein , M. T. Yamashita

Ultracold atoms offer valuable opportunities where interparticle interactions can be controlled at will. In particular, by extinguishing the two-body interaction, one can realize unique systems governed by the three-body interaction, which…

Quantum Gases · Physics 2018-01-31 Yuta Sekino , Yusuke Nishida

Few-body systems with large scattering length have universal properties that do not depend on the details of their interactions at short distances. We study the universal bound state properties of the four-boson system with large scattering…

Nuclear Theory · Physics 2008-11-26 H. -W. Hammer , L. Platter

We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the…

Quantum Physics · Physics 2024-05-24 Tobias Schnurrenberger , Lucas Happ , Maxim A. Efremov