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Relations between particle and wave properties for charge carriers in periodic potentials of crystalline metals and semiconductors are derived. The particle aspects of electrons and holes in periodic potentials are considered using…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Wlodek Zawadzki

Ultracold Fermi gases with tuneable interactions represent a unique test bed to explore the many-body physics of strongly interacting quantum systems. In the past decade, experiments have investigated a wealth of intriguing phenomena, and…

The pairing of fermionic atoms in a mixture of atomic fermion and boson gases at zero temperature is investigated. The attractive interaction between fermions, that can be induced by density fluctuations of the bosonic background, can give…

Quantum Gases · Physics 2015-05-30 F. Matera , A. Dellafiore

We consider the angular momentum of a harmonically trapped, noninteracting Fermi gas subject to either rotation or to an artificial gauge field. The angular momentum of the gas is shown to display oscillations as a function of the particle…

Quantum Gases · Physics 2013-03-07 Charles Grenier , Corinna Kollath , Antoine Georges

We determine the inter-species s-wave triplet scattering length a3 for all K-Rb isotopic mixtures by measuring the cross-section for collisions between 41K and 87Rb in different temperature regimes. The positive value a3=+163(+57,-12)a0…

Soft Condensed Matter · Physics 2009-11-07 G. Ferrari , M. Inguscio , W. Jastrzebski , G. Modugno , G. Roati , A. Simoni

Ultra-cold collisions of spin-polarized 24Mg,40Ca, and 88Sr in the metastable 3P2 excited state are investigated. We calculate the long-range interaction potentials and estimate the scattering length and the collisional loss rate as a…

At the location of a magnetic-field Feshbach resonance, a mixture gas of fermionic atoms and dimers of fermionic atom pairs is investigated in the unitarity limit where the absolute value of the scattering length is much larger than the…

Soft Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

An exotic superfluid phase has been predicted for an ultracold gas of fermionic atoms. This phase requires strong attractive interactions in the gas, or correspondingly atoms with a large, negative s-wave scattering length. Here we report…

Soft Condensed Matter · Physics 2009-11-10 C. A. Regal , D. S. Jin

A simple quantum defect model gives analytic expressions for the complex scattering length and threshold collision rates of ultracold molecules. If the probability of reaction in the short-range part of the collision is high, the model…

Atomic Physics · Physics 2015-05-14 Zbigniew Idziaszek , Paul S. Julienne

The sensitivity of atom interferometers depends on their ability to realize long pulse separation times and prevent loss of contrast by limiting the expansion of the atomic ensemble within the interferometer beam through matter-wave…

We study ultracold fermionic atoms trapped in an optical lattice with harmonic confinement by means of the dynamical mean-field approximation. It is demonstrated that a supersolid state, where an s-wave superfluid coexists with a…

Superconductivity · Physics 2008-06-25 Akihisa Koga , Takuji Higashiyama , Kensuke Inaba , Seiichiro Suga , Norio Kawakami

We derive effective lattice models for ultracold bosonic or fermionic nonreactive molecules (NRMs) in an optical lattice, analogous to the Hubbard model that describes ultracold atoms in a lattice. In stark contrast to the Hubbard model,…

Quantum Gases · Physics 2016-04-06 Andris Doçaj , Michael L. Wall , Rick Mukherjee , Kaden R. A. Hazzard

We present a general mapping between continuous and lattice models of Bose- and Fermi-gases in one dimension, interacting via local two-body interactions. For s-wave interacting bosons we arrive at the Bose-Hubbard model in the weakly…

Quantum Physics · Physics 2010-09-09 Dominik Muth , Michael Fleischhauer , Bernd Schmidt

A layered system of two-dimensional planes containing fermionic polar molecules can potentially realize a number of exotic quantum many-body states. Among the predictions, are density-wave instabilities driven by the anisotropic part of the…

Quantum Gases · Physics 2015-03-18 N. T. Zinner , G. M. Bruun

Understanding superfluidity with higher order partial waves is crucial for the understanding of high-$T_c$ superconductivity. For the realization of a superfluid with anisotropic order parameter, spin-polarized fermionic lithium atoms with…

Quantum Gases · Physics 2015-05-18 R. A. W. Maier , C. Marzok , C. Zimmermann , Ph. W. Courteille

In collisions at ultralow temperatures, molecules will possess Feshbach resonances, foreign to ultracold atoms, whose virtual excited states consist of rotations of the molecules. We estimate the mean spacing and mean widths of these…

Atomic Physics · Physics 2009-11-07 J. L. Bohn , A. V. Avdeenkov , M. P. Deskevich

Cold inelastic collisions of atoms or molecules are analyzed using very general arguments. In free space, the deactivation rate can be enhanced or suppressed together with the scattering length of the corresponding elastic collision via a…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky , Y. B. Band

Cold fermionic atoms with three different hyperfine states with SU(3) symmetry confined in one-dimensional optical lattices show color-charge separation, generalizing the conventional spin charge separation for interacting SU(2) fermions in…

Quantum Gases · Physics 2015-05-18 Tobias Ulbricht , Rafael A. Molina , Ronny Thomale , Peter Schmitteckert

We investigate the temporal fluctuations characteristic of the formation of molecular dimers from ultracold fermionic atoms via Raman photoassociation. The quantum fluctuations inherent to the initial atomic state result in large…

Statistical Mechanics · Physics 2009-11-10 H. Uys , T. Miyakawa , D. Meiser , P. Meystre

We show that atomic Fermi mixtures with density and mass imbalance exhibit a rich diversity of scaling laws for the quasiparticle decay rate beyond the quadratic energy and temperature dependence of conventional Fermi liquids. For certain…

Quantum Gases · Physics 2013-10-03 Zhihao Lan , Georg M. Bruun , Carlos Lobo