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Resonances in quantum mechanics are commonly introduced as quasi-bound states embedded in the continuum, a perspective that can be conceptually challenging due to the abstract nature of continuum states. In this work, we discuss an…

Quantum Physics · Physics 2026-05-28 Daniel Kromm , Hans-Werner Hammer , Artem Volosniev

We derive pseudo-potentials that describe the scattering between two particles in two spatial dimensions for any partial wave m, whose scattering strength is parameterized in terms of the m-dependent phase shift. Using our m=0…

Other Condensed Matter · Physics 2009-11-11 K. Kanjilal , D. Blume

Starting from weakly bound Feshbach molecules, we demonstrate a two-photon pathway to the dipolar ground state of bi-alkali molecules that involves only singlet-to-singlet optical transitions. This pathway eliminates the search for a…

We present a novel, non-parametric form for compactly representing entangled many-body quantum states, which we call a `Gaussian Process State'. In contrast to other approaches, we define this state explicitly in terms of a configurational…

Strongly Correlated Electrons · Physics 2020-11-11 Aldo Glielmo , Yannic Rath , Gabor Csanyi , Alessandro De Vita , George H. Booth

We propose phase diagrams for an imbalanced (unequal number of atoms or Fermi surface in two pairing hyperfine states) gas of atomic fermions near a broad Feshbach resonance using mean field theory. Particularly, in the plane of interaction…

Strongly Correlated Electrons · Physics 2007-05-23 Hui Hu , Xia-Ji Liu

FeFETs hold strong potential for advancing memory and logic technologies, but their inherent randomness arising from both operational cycling and fabrication variability poses significant challenges for accurate and reliable modeling.…

Machine Learning · Computer Science 2025-08-06 Tasnia Nobi Afee , Jack Hutchins , Md Mazharul Islam , Thomas Kampfe , Ahmedullah Aziz

Nonequilibrium self-assembly is the root of all emergent complexity, including life. In quantum materials emergent metastable states have become a very fashionable topic of research, but the study of resulting mesoscopic state dynamics is…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Yevhenii Vaskivskyi , Jaka Vodeb , Igor Vaskivskyi , Dragan Mihailovic

We describe the dissociation of a diatomic Feshbach molecule due to a time-varying external magnetic field in a realistic trap and guide setting. An analytic expression for the asymptotic state of the two ultracold atoms is derived, which…

Quantum Physics · Physics 2010-02-15 Clemens Gneiting , Klaus Hornberger

Compared to purely atomic collisions, ultracold collisions involving molecules have the potential to support a much larger number of Fano-Feshbach resonances due to the huge amount of ro-vibrational states available. In order to handle such…

Atomic Physics · Physics 2015-06-04 Michael Mayle , Brandon P. Ruzic , John L. Bohn

Starting from the random phase approximation for the weakly coupled multiband tightly-bounded electron systems, we calculate the dielectric matrix in terms of intraband and interband transitions. The advantages of this representation with…

Condensed Matter · Physics 2016-08-31 P. Zupanovic , A. Bjelis , S. Barisic

Exotic electronic states are realized in novel quantum materials. This field is revolutionized by the topological classification of materials. Such compounds necessarily host unique states on their boundaries. Scanning tunneling microscopy…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Nurit Avraham , Jonathan Reiner , Abhay Kumar-Nayak , Noam Morali , Rajib Batabyal , Binghai Yan , Haim Beidenkopf

We consider a pair of atoms in an arbitrary trapping potential in the presence of magnetically tunable Feshbach resonance. We find the energy levels and occupation of the bound molecular states taking into account possible coupling between…

Quantum Gases · Physics 2013-04-17 Krzysztof Jachymski , Zbigniew Idziaszek , Tommaso Calarco

We precisely measured the binding energy of a molecular state near the Feshbach resonance in a $^{85}$Rb Bose-Einstein condensate (BEC). Rapid magnetic field pulses induced coherent atom-molecule oscillations in the BEC. We measured the…

Statistical Mechanics · Physics 2009-11-10 N. R. Claussen , S. J. J. M. F. Kokkelmans , S. T. Thompson , E. A. Donley , C. E. Wieman

Radiative nonlinear four-wave mixing can monitor the evolution of electronic wave packets, providing access to lifetimes and quantifies the light induced couplings between excited states. We report the observation of quantum beats in an…

Atomic Physics · Physics 2025-11-25 S. Yanez-Pagans , M. A. Alarcon , C. H. Greene , A. Sandhu

We describe the collisional interaction between two different atoms that are trapped in a harmonic potential. The atoms are exposed to a magnetic field, which is modulated in the vicinity of an s-wave Feshbach resonance, and we study the…

Other Condensed Matter · Physics 2007-06-29 Jesper Fevre Bertelsen , Klaus Molmer

We present a straightforward, noniterative projection scheme that can represent the electronic ground state of a periodic system on a finite atomic-orbital-like basis, up to a predictable number of electronic states and with controllable…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Luis A. Agapito , Andrea Ferretti , Arrigo Calzolari , Stefano Curtarolo , Marco Buongiorno Nardelli

We have generalized the BOUND and MOLSCAT packages to allow calculations in basis sets where the monomer Hamiltonians are off-diagonal and used the new capability to carry out bound-state and scattering calculations on 3He-NH and 4He-NH as…

Atomic Physics · Physics 2009-03-25 Maykel Leonardo Gonzalez-Martinez , Jeremy M. Hutson

We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute the energy functional of product states of the form…

Analysis of PDEs · Mathematics 2022-11-03 Sébastien Breteaux , Jérémy Faupin , Jimmy Payet

We measure higher partial wave Feshbach resonances in an ultracold mixture of fermionic $^6$Li and bosonic $^{133}$Cs by magnetic field dependent atom-loss spectroscopy. For the $p$-wave Feshbach resonances we observe triplet structures…

We show theoretically that it is possible to create and manipulate a pair of bound states in continuum in ultracold atoms by two lasers in the presence of a magnetically tunable Feshbach resonance. These bound states are formed due to…

Atomic and Molecular Clusters · Physics 2016-09-15 Bimalendu Deb , G. S. Agarwal