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We calculate the energy and the condensate fraction of a system of trapped bosons interacting via a short-range two-body potential with positive scattering length. The potential is attractive and has a two-body bound state. When the…

Quantum Physics · Physics 2009-07-17 M. Thøgersen , D. V. Fedorov , A. S. Jensen

We consider the problem of a fixed impurity coupled to a small number $N$ of non-interacting bosons. We focus on impurity-boson interactions that are mediated by a closed-channel molecule, as is the case for tuneable interatomic…

Quantum Gases · Physics 2018-12-19 Shuhei M. Yoshida , Zhe-Yu Shi , Jesper Levinsen , Meera M. Parish

Scattering thresholds and their associated spectral square root branch points are ubiquitous in photonics. In this Letter, we show that the scattering matrix has a simple universal behavior near scattering thresholds. We use unitarity,…

Optics · Physics 2022-01-12 Charles C. Wojcik , Haiwen Wang , Meir Orenstein , Shanhui Fan

In a three-body system of identical bosons interacting through a large S-wave scattering length $a$, there are several sets of Efimov features related by discrete scale invariance. Effective field theory was recently used to derive…

Quantum Gases · Physics 2015-09-16 Chen Ji , Eric Braaten , Daniel R. Phillips , Lucas Platter

A three-atom molecule AAB, formed by two identical bosons A and a distinct one B, is studied by considering coupled channels close to a Feshbach resonance. It is assumed that the subsystems AB and AA have, respectively, one and two…

Atomic Physics · Physics 2020-12-08 Marcelo T. Yamashita , Tobias Frederico , Lauro Tomio

Based on an exact treatment of hard-core bosons confined on one-dimensional lattices, we obtain the large distance behavior of the one-particle density matrix, and show how it determines the occupation of the lowest natural orbital in the…

Statistical Mechanics · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

We establish that two-dimensional dipolar quantum gases admit a universal description, i.e., their thermodynamic properties are independent of details of the interaction at short distances. The only relevant parameters are the dipole length…

Quantum Gases · Physics 2021-02-02 Johannes Hofmann , Wilhelm Zwerger

We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the…

Quantum Gases · Physics 2013-06-21 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We prove that the corner angle distributions in the bound three-body system AAB, which consists of two particles of type A and one particle of type B, approach universal form if the pair AA has a virtual state at zero energy and the binding…

Nuclear Theory · Physics 2016-04-21 Dmitry K. Gridnev , Dario Bressanini

We discuss 3-body processes in ultracold two-component Fermi gases with short-range intercomponent interaction characterized by a large and positive scattering length $a$. It is found that in most cases the probability of 3-body…

Statistical Mechanics · Physics 2009-11-07 D. S. Petrov

By using simple and efficient method we discuss properties of a single impurity immersed in three-dimensional Bose gas with the interaction between particles tuned to unitary limit. Particularly, adopting the mean-field-like approximation…

Quantum Gases · Physics 2020-10-28 O. Hryhorchak , G. Panochko , V. Pastukhov

Three body systems with short-range interactions display universal features that have been extensively explored in atomic physics, but apply to hadron physics as well. Systems composed of two non-interacting identical particles (species H)…

High Energy Physics - Phenomenology · Physics 2018-07-19 Manuel Pavon Valderrama

The single electron Green's function of the one-dimensional Tomonaga-Luttinger model in the presence of open boundaries is calculated with bosonization methods. We show that the critical exponents of the local spectral density and of the…

Condensed Matter · Physics 2009-10-28 Sebastian Eggert , Henrik Johannesson , Ann Mattsson

Within the framework of non-relativistic scalar effective field theory it is shown that the problem of the cutoff dependence of the leading order amplitude for a particle scattering off a two-body bound state can be solved without…

Nuclear Theory · Physics 2011-03-28 J. Gegelia

As part of our program to develop the description of three-body effects in quantum vacuum phenomena, we study the three-body interaction of two anisotropically polarizable atoms with a perfect electrically conducting plate, a generalization…

Quantum Physics · Physics 2022-03-02 Kimball A. Milton , Elom Abalo , Prachi Parashar , K. V. Shajesh

The three-body recombination coefficient of a trapped ultracold atomic system, together with the corresponding two-body scattering length $a$, allow us to predict the energy $E_3$ of the shallow trimer bound state, using a universal scaling…

Soft Condensed Matter · Physics 2009-11-10 Lauro Tomio , Victo S. Filho , M. T. Yamashita , A. Gammal , T. Frederico

We study the structural and several quantum properties of three-dimensional bosonic cluster interacting through van der Waals potential at large scattering length. We use Faddeev-type decomposition of the many-body wave function which…

Quantum Gases · Physics 2019-02-04 M. L. Lekala , B. Chakrabarti , S. K. Haldar , R. Roy , G. J. Rampho

We analyze the collision of three particles with arbitrary mass ratio at zero collision energy, assuming arbitrary short-range potentials, and generalize the three-body scattering hypervolume $D$ first defined for identical bosons in 2008.…

Atomic Physics · Physics 2021-09-01 Zipeng Wang , Shina Tan

The physical interpretation of lattice QCD simulations, performed in a small volume, requires an extrapolation to the infinite volume. A method is proposed to perform such an extrapolation for three interacting particles at energies above…

High Energy Physics - Lattice · Physics 2018-01-17 M. Mai , M. Döring

We present a simple picture that provides the energy and scattering length dependence for all inelastic three-body collision rates in the ultracold regime for three-body systems with short range two-body interactions. In particular, we…

Other Condensed Matter · Physics 2007-05-23 J. P. D'Incao , B. D. Esry