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Various model applications in nuclear structure and reactions have been formulated starting with the Feshbach projection formalism. In recent studies a truncated excluded space has been enumerated to facilitate calculation and identify a…

Nuclear Theory · Physics 2008-11-26 S. Karataglidis , K. Amos

Feshbach resonances are an invaluable tool in atomic physics, enabling precise control of interactions and the preparation of complex quantum phases of matter. Here, we theoretically analyze a solid-state analogue of a Feshbach resonance in…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Clemens Kuhlenkamp , Michael Knap , Marcel Wagner , Richard Schmidt , Atac Imamoglu

A Feshbach resonance in the s-wave scattering length occurs if the energy of the two atoms in the incoming open channel is close to the energy of a bound state in a coupled closed channel. Starting from the microscopic hamiltonian that…

Condensed Matter · Physics 2007-05-23 R. A. Duine , H. T. C. Stoof

Feshbach resonances in ultracold collisions often result from an interplay between many collision channels. Simple two-channel models can be introduced to capture the basic features, but cannot fully reproduce the situation when several…

Atomic Physics · Physics 2013-11-07 Krzysztof Jachymski , Paul S. Julienne

In a Feshbach resonance, the effective s-wave scattering length grows when one moves toward the resonance point, and eventually diverges at this point. There is one characteristic energy scale, $\delta_c$, defined as, in the negative side…

Quantum Gases · Physics 2013-01-01 Guojun Zhu

We characterize Feshbach resonances in all isotopologues of the $\mathrm{Li}{-}\mathrm{Li}$ system with improved interaction potentials. Starting from spectroscopically accurate Morse/long-range (MLR) potential-energy curves for the singlet…

Atomic Physics · Physics 2026-03-04 Jing-Chen Zhang , Paul Julienne , Yu Liu

In systems of ultracold atoms, pairwise interactions can be resonantly enhanced by a new mechanism which does not rely upon a magnetic Feshbach resonance. In this mechanism, interactions are controlled by tuning the frequency of an…

Quantum Gases · Physics 2015-10-14 D. H. Smith

We present an analytic model to calculate the atomic scattering length near a Feshbach resonance from data on the molecular binding energy. Our approach considers finite-range square-well potentials and can be applied near broad, narrow, or…

Other Condensed Matter · Physics 2009-11-13 A. D. Lange , K. Pilch , A. Prantner , F. Ferlaino , B. Engeser , H. -C. Naegerl , R. Grimm , C. Chin

We study the use of an optical Feshbach resonance to modify the p-wave interaction between ultracold polarized Yb-171 spin-1/2 fermions. A laser exciting two colliding atoms to the 1S_0 + 3P_1 channel can be detuned near a purely-long-range…

Atomic Physics · Physics 2015-03-17 Krittika Goyal , Iris Reichenbach , Ivan Deutsch

We propose a coherent framework allowing to deal with many-body effects in dense ultracold Fermi gases in the presence of a Feshbach resonance. We show that the simple effect of Pauli exclusion induces a strong modification of the basic…

Soft Condensed Matter · Physics 2009-11-10 R. Combescot

We describe two-field optical techniques to control interactions in Feshbach resonances for two-body scattering in ultra-cold gases. These techniques create a molecular dark state in the closed channel of a magnetically tunable Feshbach…

Quantum Gases · Physics 2015-06-12 Haibin Wu , J. E. Thomas

We present a detailed study of the scattering properties of ultracold mixtures of bosonic potassium atoms. We locate 20 previously unobserved Feshbach resonances in isotopic 39K-41K mixtures. These are assigned to s-wave molecular channels…

Quantum Gases · Physics 2019-01-02 L. Tanzi , C. R. Cabrera , J. Sanz , P. Cheiney , M. Tomza , L. Tarruell

Modeling the underlying pairing mechanism of charge carriers in strongly correlated electrons, starting from a microscopic theory, is among the central challenges of condensed-matter physics. Hereby, the key task is to understand what…

Strongly Correlated Electrons · Physics 2024-03-21 Lukas Homeier , Pit Bermes , Fabian Grusdt

We present a simple one-dimensional example of a spin 1/2 particle submitted to a delta-type potential which interacs differently with the two components of the wavefunction and to an external magnetic field. It has two coupled channels,…

Atomic Physics · Physics 2012-10-01 Josep Taron

We provide an overview of experiments exploring resonances in the collision of ultracold clouds of atoms. Using a laser-based accelerator that capitalizes on the energy resolution provided by the ultracold atomic setting, we unveil…

Quantum Gases · Physics 2024-06-05 Matthew Chilcott , Samyajit Gayen , James Croft , Ryan Thomas , Niels Kjærgaard

The shell model solve the nuclear many-body problem in a restricted model space and takes into account the restricted nature of the space by using effective interactions and operators. In this paper two different methods for generating the…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

It is well-known that the magnetic Feshbach resonances of cold atoms are sensitive to the magnitude of the external magnetic field. Much less attention has been paid to the direction of such a field. In this work we calculate the scattering…

Quantum Gases · Physics 2014-06-25 Shi-Guo Peng , Shina Tan , Kaijun Jiang

We analyze a system of two-component fermions which interact via a Feshbach resonance in the presence of a three-dimensional lattice potential. By expressing a two-channel model of the resonance in the basis of Bloch states appropriate for…

Quantum Gases · Physics 2013-07-18 M. L. Wall , L. D. Carr

We study properties of two different atoms at a single optical lattice site at a heteronuclear atomic Feshbach resonance. We calculate the energy spectrum, the efficiency of rf association and the lifetime as a function of magnetic field…

We develop and implement a new mathematical and computational framework for designing photonic elements with one or more high-$Q$ scattering resonances. The approach relies on solving for the poles of the scattering matrix, which…

Optics · Physics 2020-02-19 Brian A. Slovick , Erik Matlin