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We use the zero-range approximation to study a system of two identical bosons interacting resonantly with a third particle. The method is derived from effective field theory. It reduces the three-body problem to an integral equation which…

Quantum Gases · Physics 2010-05-26 K. Helfrich , H. -W. Hammer , D. S. Petrov

We derive flow equations for cold atomic gases with one macroscopically populated energy level. The generator is chosen such that the ground state decouples from all other states in the system as the renormalization group flow progresses.…

Quantum Gases · Physics 2018-01-04 A. G. Volosniev , H. -W. Hammer

We apply a functional renormalisation group to systems of four bosonic atoms close to the unitary limit. We work with a local effective action that includes a dynamical trimer field and we use this field to eliminate structures that do not…

Quantum Gases · Physics 2013-10-30 Benjamin Jaramillo Avila , Michael C. Birse

We report on three-body recombination of a single trapped Rb^+ ion and two neutral Rb atoms in an ultracold atom cloud. We observe that the corresponding rate coefficient K_3 depends on collision energy and is about a factor of 1000 larger…

We theoretically investigate three-body losses in a single-component Fermi gas near a $p$-wave Feshbach resonance in the interacting, non-unitary regime. We extend the cascade model introduced by Waseem \textit{et al.} [M. Waseem, J.…

Quantum Gases · Physics 2023-05-29 K. Welz , M. Gerken , B. Zhu , E. Lippi , M. Rautenberg , L. Chomaz , M. Weidemüller

An improved hyperspherical harmonic method for the quantum three-body problem is presented to separate three rotational degrees of freedom completely from the internal ones. In this method, the Schr\"{o}dinger equation of three-body problem…

Atomic Physics · Physics 2015-06-26 Zhong-Qi Ma , An-Ying Dai

A new narrow 3-atom loss resonance associated with an Efimov trimer crossing the 3-atom threshold has recently been discovered in a many-body system of ultracold 6Li atoms in the three lowest hyperfine spin states at a magnetic field near…

Quantum Gases · Physics 2015-03-13 Eric Braaten , H. -W. Hammer , Daekyoung Kang , Lucas Platter

We develop a method for the calculation of vacuum expectation values of local operators in the Lieb-Liniger model. This method is based on a set of new identities obtained using integrability and effective theory (``bosonization'')…

Other Condensed Matter · Physics 2009-11-11 Vadim V. Cheianov , H. Smith , M. B. Zvonarev

We have measured the three-body decay of a Bose-Einstein condensate of rubidium ($^{87}$Rb) atoms prepared in the doubly polarized ground state $F=m_F=2$. Our data are taken for a peak atomic density in the condensate varying between…

Statistical Mechanics · Physics 2015-06-25 J. Soding , D. Guery-Odelin , P. Desbiolles , F. Chevy , H. Inamori , J. Dalibard

The effects of trimer continuum resonances are considered in the three-body recombination rate of a Bose system at finite energies for large and negative two-body scattering lengths ($a$). The thermal average of the rate allows to apply our…

Soft Condensed Matter · Physics 2015-06-25 M. T. Yamashita , T. Frederico , Lauro Tomio

A combined experimental and theoretical study is carried out on the three-body recombination process in a gas of microwave-shielded polar molecules. For ground-state polar molecules dressed with a strong microwave field, field-linked bound…

We calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and…

Quantum Physics · Physics 2012-06-26 P. R. Johnson , D. Blume , X. Y. Yin , W. F. Flynn , E. Tiesinga

A novel practical few-body method is formulated to include isospin symmetry for nuclear halo structures. The method is designed to describe beta decay, where the basic concept of isospin symmetry facilitates a proper understanding. Both…

Nuclear Theory · Physics 2023-02-02 E. Garrido , A. S. Jensen , H. O. U. Fynbo , K. Riisager

We calculate the effective three-body force for bosons interacting with each other by a two-body potential tuned to a narrow zero crossing in any dimension. We use the standard two-channel model parametrized by the background atom-atom…

Quantum Gases · Physics 2019-10-15 A. Pricoupenko , D. S. Petrov

The non-additive three-body interaction potential for helium was computed using the coupled-cluster theory and the full configuration interaction method. The obtained potential comprises an improved nonrelativistic Born--Oppenheimer energy…

Using Boltzmann's equation, we study the effect of three-body losses on the momentum distribution of a homogeneous unitary Bose gas in the dilute limit where quantum correlations are negligible. We calculate the momentum distribution of the…

Quantum Gases · Physics 2015-06-18 Sébastien Laurent , Xavier Leyronas , Frédéric Chevy

The process $\gamma + t \to n + d$ is treated by means of three-body integral equations employing in their kernel the W-Matrix representation of the subsystem amplitudes. As compared to the plane wave (Born) approximation the full solution…

Nuclear Theory · Physics 2008-11-26 W. Schadow , W. Sandhas

We describe the three-body loss coefficient of identical fermions with $p$-wave interactions using a set of rate equations in which three-body recombination happens via an indirect process. Our theoretical treatment explains experimental…

Quantum Gases · Physics 2019-05-30 Muhammad Waseem , Jun Yoshida , Taketo Saito , Takashi Mukaiyama

The introduction of optical tweezers for trapping atoms has opened remarkable opportunities for manipulating few-body systems. Here, we present the first bottom-up assembly of atom triads. We directly observe atom loss through inelastic…

Quantum Physics · Physics 2020-02-20 L. A. Reynolds , E. Schwartz , U. Ebling , M. Weyland , J. Brand , M. F. Andersen

A time-dependent Kohn-Sham (KS)-like equation for N bosons in a trap is generalized for the case of inelastic collisions. We derive adiabatic equations which are used to calculate the nonlinear dynamics of the Bose-Einstein condensate (BEC)…

Soft Condensed Matter · Physics 2009-11-10 Yeong E. Kim , Alexander L. Zubarev