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This article reviews recent experimental and theoretical progress on many-body phenomena in dilute, ultracold gases. Its focus are effects beyond standard weak-coupling descriptions, like the Mott-Hubbard-transition in optical lattices,…

Other Condensed Matter · Physics 2008-07-21 Immanuel Bloch , Jean Dalibard , Wilhelm Zwerger

Recent measurements of Efimov resonances in a number of ultracold atom species have revealed an unexpected universality, in which three-body scattering properties are determined by the van der Waals length of the two-body interaction…

Quantum Gases · Physics 2013-09-12 Ruth S. Bloom , Ming-Guang Hu , Tyler D. Cumby , Deborah S. Jin

We solve a finite range two-channel model for three resonant identical bosons. The model provides a minimal description of the various magnetic Feshbach resonances in single species ultra-cold bosonic systems, including off-resonant…

Quantum Physics · Physics 2010-02-08 Mattia Jona-Lasinio , Ludovic Pricoupenko

Recent experimental breakthroughs in trapping, cooling and controlling ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the way toward the investigation of highly tunable quantum systems, where anisotropic,…

Quantum Gases · Physics 2015-02-11 M. A. Baranov , M. Dalmonte , G. Pupillo , P. Zoller

We describe a new implementation of magnetic collider for investigating cold collisions between ultracold atomic clouds in different spin states, and we use this to investigate scattering involving both even and odd order partial waves. Our…

Other Condensed Matter · Physics 2007-05-23 Angela S. Mellish , Niels Kjaergaard , Paul S. Julienne , Andrew C. Wilson

Collision cross sections and rate constants between two ground- state oxygen molecules are investigated theoretically at translational energies below $\sim 1$K and in zero magnetic field. We present calculations for elastic and spin-…

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

A scattering resonance is one of the most striking quantum effects in low-temperature molecular collisions. Predicted decades ago theoretically, they have only been resolved experimentally for systems involving at most four atoms. Extension…

We investigate the scattering cross section of aligned dipolar molecules in low-temperature gases. Over a wide range of collision energies relevant to contemporary experiments, the cross section declines in inverse proportion to the…

Atomic Physics · Physics 2015-05-13 J. L. Bohn , M. Cavagnero , C. Ticknor

We consider the coherent control of ultracold molecule-molecule scattering, impacted by a dense set of rovibrational resonances. To characterize the resonance spectrum, a rudimentary model based on multichannel quantum defect theory has…

Atomic Physics · Physics 2023-01-18 Adrien Devolder , Timur V. Tscherbul , Paul Brumer

An interpretation is given for elastic proton scattering at ultra-high energies with impact-parameter amplitude exceeding the black disk limit. It is shown that this scattering mode can arise due to the contribution of an exceptional…

High Energy Physics - Phenomenology · Physics 2022-08-04 M. L. Nekrasov

This tutorial is a theoretical work, in which we study the physics of ultra-cold dipolar bosonic gases in optical lattices. Such gases consist of bosonic atoms or molecules that interact via dipolar forces, and that are cooled below the…

Quantum Gases · Physics 2015-05-27 C. Trefzger , C. Menotti , B. Capogrosso-Sansone , M. Lewenstein

Ultracold polar molecules provide an excellent platform to study quantum many-body spin dynamics, which has become accessible in the recently realized low entropy quantum gas of polar molecules in an optical lattice. To obtain a detailed…

We study the dynamics of ultracold Bosons in a double-well potential within the two-mode Bose-Hubbard model by means of semiclassical methods. By applying a WKB quantization we find analytical results for the energy spectrum, which are in…

Quantum Gases · Physics 2015-06-11 Lena Simon , Walter T. Strunz

We propose a new type of cooling mechanism for ultra-cold fermionic atom ensembles, which capitalizes on the energy dependence of inelastic collisions in the presence of a Feshbach resonance. We first discuss the case of a single magnetic…

Other Condensed Matter · Physics 2013-05-29 L. Mathey , Eite Tiesinga , Paul S. Julienne , Charles W. Clark

We show that low-energy inelastic cross sections can decrease as well as increase in the vicinity of a zero-energy Feshbach resonance. When an external field is used to tune across such a resonance, the real and imaginary parts of the…

Atomic Physics · Physics 2015-05-13 Jeremy M. Hutson , Musie Beyene , Maykel Leonardo Gonzalez-Martinez

We consider nonlinear spectroscopic effects - interaction-enhanced double resonance and spectrum instability - that appear in ultracold quantum gases owing to collisional frequency shift of atomic transitions and, consequently, due to the…

Quantum Gases · Physics 2015-06-12 Alexander Safonov , Irina Safonova , Igor Yasnikov

We present a unified formalism for describing chemical reaction rates of trapped, ultracold molecules. This formalism reduces the scattering to its essential features, namely, a propagation of the reactant molecules through a gauntlet of…

Quantum Physics · Physics 2015-05-19 Zbigniew Idziaszek , Goulven Quéméner , John L. Bohn , Paul S. Julienne

Ultracold molecules offer brand new opportunities to probe the variation of fundamental constants with unprecedented sensitivity. This paper summarizes theoretical background and current constraints on the variation of fine structure…

Other Condensed Matter · Physics 2009-05-15 Cheng Chin , V. V. Flambaum , M. G. Kozlov

Scattering resonances play a central role in collision processes in physics and chemistry. They help building an intuitive understanding of the collision dynamics due to the spatial localization of the scattering wavefunctions. For…

Low dimensional behavior of two ultra-cold atoms trapped in two-and one-dimensional waveguides is investigated in the vicinity of a magnetic Feshbach resonance. A quantitative two-channel model for the Feshbach mechanism is used allowing an…

Quantum Gases · Physics 2015-04-17 Tom Kristensen , Ludovic Pricoupenko