Feshbach resonances in ultracold gases

By S. Kokkelmans. 2014

1,147 citations recorded by the source corpus.

In this chapter, we describe scattering resonance phenomena in general, and focus on the mechanism of Feshbach resonances, for which a multi-channel treatment is required. We derive the dependence of the scattering phase shift on magnetic field and collision energy. From this, the scattering length and effective range coefficient can be extracted, expressions which are particularly useful for ultracold gases.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/fad75b3d206b9a3f1f5db160657d52616f813bfa

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Effective field theory description of halo nuclei (2017, background): “the unitary limit, the scattering lengths associated with threshold features in atom-dimer collisions and three-atom recombination are also correlated through the scaling factor exp(ˇ=s 0) (see Refs. [22,119] for reviews). In an s-wave 2nhalo nucleus, a 0;d and a 0;˙ are large but nite, and the thre”
Superconductivity, superfluidity and quantum geometry in twisted multilayer systems (2021, background): “There, the Feshbach resonance technique [153] allows realizing negative or positive interaction strengths of any magnitude, without affecting any other system parameter.”
The Bose-Einstein Condensate and Cold Atom Laboratory (2019, background): “One example are the Feshbach resonances [41] that can be addressed by applying magnetic fields.”
Universal dynamics of a degenerate unitary Bose gas (2013, background): “Ultracold quantum gases offer tremendous promise for this application largely due to an unprecedented control over interactions [1].”
Lattice gauge theory simulations in the quantum information era (2016, background): “The key properties of cold atom settings is the ample degree of flexibility and tunability [22]: various lattice geometries can be realised; both Fermi and Bose gases can be loaded into the lattices themselves [18,21]; the inter particle interactions can be tailored by using external fields either u”
Universal few-body physics and cluster formation (2017, background): “In ultracold systems the exciting capability to tune two-body atomic scattering length, using magnetic, optical or RF-induced Fano-Feshbach resonances (Chin et al., 2010; Hanna et al., 2010; Inouye et al., 1998; Köhler et al., 2006; Owens et al., 2016; Tscherbul et al., 2010).”
Spin squeezing, entanglement and quantum metrology with Bose–Einstein condensates (2012, methodology): “4 Such a Feshbach resonance may be used to increase the nonlinearity but at the cost of increased particle losses [100].”
Topological quantum matter with ultracold gases in optical lattices (2016, background): “In these setups, both the band structure [9] and the strength of the inter-particle interactions [10] can be tuned by external electromagnetic fields, offering a unique platform for the realization of unconventional phases of matter [6, 7, 11–13], including topological phases.”
New frontiers for quantum gases of polar molecules (2016, background): “Atomic, Molecular, and Optical (AMO) systems offer experimentalists the ability to precisely control interactions in a quantum many-body system [1, 2], and a rich set of experiments has already been performed.”
The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems (2018, background): “20 (a)) or from a molecular calculation [223, 49] (cf.”