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A rigorous reduction of the many-body wave scattering problem to solving a linear algebraic system is given bypassing solving the usual system of integral equation. The limiting case of infinitely many small particles embedded into a medium…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

In systems of ultracold atoms, pairwise interactions are resonantly enhanced by the application of an oscillating magnetic field that is parallel to the spin-quantization axis of the atoms. The resonance occurs when the frequency of the…

Quantum Gases · Physics 2016-11-17 D. Hudson Smith

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

The study of quantum mechanical few-body systems is a century old pursuit relevant to countless subfields of physics. While the two-body problem is generally considered to be well-understood theoretically and numerically, venturing to three…

Quantum Physics · Physics 2014-07-30 N. T. Zinner

We analyze the dynamics of two atoms with a short-ranged pair interaction in a one-dimensional harmonic trap with time-dependent frequency. Our analysis is focused on two representative cases: (i) a sudden change of the trapping frequency…

Quantum Gases · Physics 2019-07-15 M. Ebert , A. Volosniev , H. -W. Hammer

We study ultracold three-body collisions of bosons and fermions when the interatomic interaction is tuned near a narrow Feshbach resonance. We show that the width of the resonance has a substantial impact on the collisional properties of…

Quantum Physics · Physics 2011-05-04 Yujun Wang , J. P. D'Incao , B. D. Esry

I present the case for studying the nature of short-range internucleon interactions with electron-scattering experiments on few-body nuclear targets. I first review what electron-scattering studies have unearthed about the nature of the…

Nuclear Experiment · Physics 2011-04-15 J. A. Templon

Particle-dimer scattering below and above the three-body threshold is studied using Faddeev differential equations. Correllations between the observables are shown and some analogies between three-nucleon and three-atom systems are…

Atomic and Molecular Clusters · Physics 2015-06-18 E. A. Kolganova

We develop a theory of the effective disorder temperature in glass-forming materials driven away from thermodynamic equilibrium by external forces. Our basic premise is that the slow configurational degrees of freedom of such materials are…

Materials Science · Physics 2015-05-13 Eran Bouchbinder , J. S. Langer

Ultracold collisions of polar OH molecules are considered in the presence of an electrostatic field. The field exerts a strong influence on both elastic and state-changing inelastic collision rate constants, leading to clear experimental…

Atomic Physics · Physics 2009-11-07 Alexandr V. Avdeenkov , John L. Bohn

We describe a new mechanism of decoherence in excited atoms as a result of thermal particles scattering by the atomic nucleus. It is based on the idea that a single scattering will produce a sudden displacement of the nucleus, which will be…

Quantum Physics · Physics 2017-06-13 Diego A. Quiñones , Benjamin Varcoe

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

An approximate many-body theory has been used to calculate the heat capacity and the condensate fraction of a BEC with effective repulsive interaction. The effect of interactions has been analyzed and compared with the non-interacting case.…

Quantum Gases · Physics 2009-10-16 Anindya Biswas

The general theory of neutron scattering is presented, valid for the whole domain of slow neutrons from thermal to ultracold. Particular attention is given to multiple scattering which is the dominant process for ultracold neutrons (UCN).…

Nuclear Theory · Physics 2009-10-31 A. L. Barabanov , S. T. Belyaev

We study cold heteronuclear atom ion collisions by immersing a trapped single ion into an ultracold atomic cloud. Using ultracold atoms as reaction targets, our measurement is sensitive to elastic collisions with extremely small energy…

Atomic Physics · Physics 2010-10-19 Christoph Zipkes , Stefan Palzer , Lothar Ratschbacher , Carlo Sias , Michael Köhl

For N impenetrable particles in one dimension where only the nearest and next-to-nearest neighbours interact, we obtain the complete spectrum both on a line and on a circle. Further, we establish a mapping between these N-body problems and…

Condensed Matter · Physics 2009-10-31 Sudhir R. Jain , Avinash Khare

We consider a body immersed in a perfect gas, moving under the action of a constant force E along the x axis . We assume the gas to be described by the mean-field approximation and interacting elastically with the body, we study the…

Mathematical Physics · Physics 2016-03-23 Cristiano Fanelli , Francesco Sisti , Gabriele V. Stagno

The behavior of ultracold atomic gases depends crucially on the two-body scattering properties of these systems. We develop a multichannel scattering theory for atom-atom collisions in quasi-one-dimensional (quasi-1D) geometries such as…

Condensed Matter · Physics 2009-11-10 Brian E. Granger , D. Blume

We study a question arising in inverse scattering theory: given a penetrable obstacle, does there exist an incident wave that does not scatter? We show that every penetrable obstacle with real-analytic boundary admits such an incident wave.…

Analysis of PDEs · Mathematics 2021-06-30 Mikko Salo , Henrik Shahgholian

The dynamics of free vibrations of a chain of atoms is investigated taking into account the retardation of interactions. It is shown that all oscillations of the circuit are damped. The dynamics of forced vibrations of this chain of atoms…

Statistical Mechanics · Physics 2021-04-13 A. Yu. Zakharov , M. A. Zakharov