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The multichannel quantum defect theory (MQDT) in combination with the frame transformation (FT) approach is applied to model the Fano-Feshbach resonances measured for $^{7}$Li$^{87}$Rb and $^{6}$Li$^{87}$Rb [Marzok {\it et al.} Phys. Rev. A…

Atomic Physics · Physics 2015-05-20 Jesús Pérez-Ríos , Sourav Dutta , Yong P. Chen , Chris H. Greene

We consider the magnetically tunable Feshbach resonances that may exist in ultracold mixtures of molecules in $^2\Sigma$ states and alkali-metal atoms. We focus on Rb+CaF as a prototype system. There are likely to be Feshbach resonances…

Atomic Physics · Physics 2023-06-05 Robert C. Bird , Michael R. Tarbutt , Jeremy M. Hutson

We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small…

Mathematical Physics · Physics 2019-10-01 R. Carlone , M. Correggi , D. Finco , A. Teta

Electrons in atoms and molecules are versatile physical systems covering a vast range of light-matter interactions, enabling the physics of Rydberg states, photon-photon bound states, simulation of condensed matter Hamiltonians, and quantum…

Quantum Physics · Physics 2017-12-14 Rumen Dangovski , Nicholas Rivera , Marin Soljacic , Ido Kaminer

We study interactions between polaritons formed by hybridization of excitons in a two-dimensional (2D) semiconductor with surface optical phonons or plasmons. These quasiparticles have a high effective mass and can bind into bipolaritons…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 Brian Vermilyea , Michael M. Fogler

Observation of molecular dynamics with quantum state resolution is one of the major challenges in chemical physics. Complete characterization of collision dynamics leads to the microscopic understanding and unraveling of different quantum…

Atomic Physics · Physics 2020-12-24 Baruch Margulis , Julia Narevicius , Edvardas Narevicius

Accurate solution of the many-electron problem including correlations remains intractable except for few-electron systems. Describing interacting electrons as a superposition of independent electron configurations results in an apparent…

Computational Physics · Physics 2024-02-20 J. C. Greer

The phenomenon of metastability can shape dynamical processes on all temporal and spatial scales. Here, we induce metastable dynamics by pumping ultracold bosonic atoms from the lowest band of an optical lattice to an excitation band, via a…

Quantum Gases · Physics 2020-11-11 M. Nuske , J. Vargas , M. Hachmann , R. Eichberger , L. Mathey , A. Hemmerich

Mesoscopic irregularly ordered and even amorphous self-assembled electronic structures were recently reported in two-dimensional metallic dichalcogenides (TMDs), created and manipulated with short light pulses or by charge injection. Apart…

This paper introduces a Heisenberg picture approach to Matrix Product States (MPS), offering a rigorous yet intuitive framework to explore their structure and classification. MPS efficiently represent ground states of quantum many-body…

Mathematical Physics · Physics 2025-03-11 Abdessatar Souissi , Amenallah Andolsi

The projection-operator formalism of Feshbach is applied to resonance scattering in a single-channel case. The method is based on the division of the full function space into two segments, internal (localized) and external (infinitely…

We determine the physical properties of \emph{p}-wave Feshbach molecules in doubly spin-polarized $^{40}$K and find excellent agreement with recent experiments. We show that these molecules have a large probability $Z$ to be in the closed…

Superconductivity · Physics 2014-11-18 K. B. Gubbels , H. T. C. Stoof

We investigate the prospects of controlling charge-exchange in ultracold collisions of heteroisotopic combinations of atoms and ions of the same element. The treatment, readily applicable to alkali or alkanine-earth metals, is illustrated…

Atomic Physics · Physics 2017-06-26 Marko Gacesa , Robin Côté

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

Metastable states arise in a range of quantum systems and can be observed in various dynamical scenarios, including decay, bubble nucleation, and long-lived oscillations. The phenomenology of metastable states has been examined in quantum…

Photoassociation and the Feshbach resonance are, in principle, feasible means for creating a molecular Bose-Einstein condensate from an already-quantum-degenerate gas of atoms; however, mean-field shifts and irreversible decay place…

Atomic Physics · Physics 2009-11-07 Matt Mackie

Consider a linear autonomous Hamiltonian system with a time periodic bound state solution. In this paper we study the structural instability of this bound state ^M relative to time almost periodic perturbations which are small, localized…

Pattern Formation and Solitons · Physics 2009-09-25 Eduard Kirr , Michael I. Weinstein

We theoretically demonstrate how the resonant coupling between a pair of cavity-polaritons and a biexciton state can lead to a large single-photon Kerr nonlinearity in a semiconductor solid-state system. A fully analytical model of the…

Quantum Gases · Physics 2015-05-18 Iacopo Carusotto , Thomas Volz , Atac Imamoglu

We present a stochastic projection formalism for the description of quantum dynamics in Bosonic or spin environments. The Schr\"odinger equation in coherent state representation with respect to the environmental degrees of freedom can be…

Quantum Physics · Physics 2017-11-08 Valentin Link , Walter T. Strunz

Helium atoms in the metastable $2^3{S_{1}}$ state (He$^*$) have unique advantages for ultracold atomic experiments. However, there is no known accessible Feshbach resonance in He$^*$, which could be used to manipulate the scattering length…

Quantum Gases · Physics 2021-09-29 T. M. F. Hirsch , D. G. Cocks , S. S. Hodgman