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We numerically study the problem of two fermions in a three dimensional optical lattice interacting via a zero-range Feshbach resonance, and display the dispersions of the bound states as a two-particle band structure with unique features…

Quantum Gases · Physics 2015-03-19 M. L. Wall , L. D. Carr

To test effective Hamiltonians for strongly interacting fermions in an optical lattice, we numerically find the energy spectrum for two fermions interacting across a Feshbach resonance in a double well potential. From the spectrum, we…

Quantum Gases · Physics 2010-04-22 J. P. Kestner , L. -M. Duan

We study a model of an equal mixture of two species of fermions in a deep optical lattice at a filling of two fermions per site. At weak inter-species interaction, the system is a band insulator. When the inter-species interaction is tuned…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. F. Ho

We report on the realization of a quantum degenerate atomic Fermi gas in an optical lattice. Fermi surfaces of noninteracting fermions are studied in a three-dimensional lattice. Using a Feshbach resonance, we observe a coupling of the…

Strongly Correlated Electrons · Physics 2007-05-23 Thilo Stöferle , Henning Moritz , Christian Schori , Kenneth Günter , Michael Köhl , Tilman Esslinger

We study a model of two species of one-dimensional linearly dispersing fermions interacting via an s-wave Feshbach resonance at zero temperature. While this model is known to be integrable, it possesses novel features that have not…

Quantum Gases · Physics 2018-02-23 Abhinav Prem , Victor Gurarie

We present a detailed analysis of the two-channel atom-molecule effective Hamiltonian for an ultracold two-component homogeneous Fermi gas interacting near a Feshbach resonance. We particularly focus on the two-body and many-body properties…

Other Condensed Matter · Physics 2014-11-17 G. M. Falco , H. T. C. Stoof

We study the properties of ultracold Fermi gases in a three-dimensional optical lattice when crossing a Feshbach resonance. By using a zero-temperature formalism, we show that three-body processes are enhanced in a lattice system in…

Other Condensed Matter · Physics 2007-05-23 Helmut G. Katzgraber , Aniello Esposito , Matthias Troyer

We report on the realization of a strongly interacting quantum degenerate gas of fermionic atoms in a three-dimensional optical lattice. We prepare a band-insulating state for a two-component Fermi gas with one atom per spin state per…

Other Condensed Matter · Physics 2007-05-23 Michael Köhl , Kenneth Günter , Thilo Stöferle , Henning Moritz , Tilman Esslinger

We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account of both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting…

Other Condensed Matter · Physics 2009-11-11 L. -M. Duan

We have studied interacting and non-interacting quantum degenerate Fermi gases in a three-dimensional optical lattice. We directly image the Fermi surface of the atoms in the lattice by turning off the optical lattice adiabatically. Due to…

Superconductivity · Physics 2009-11-10 Michael Köhl , Henning Moritz , Thilo Stöferle , Kenneth Günter , Tilman Esslinger

We report on the experimental observation of a strongly interacting gas of ultracold two-electron fermions with orbital degree of freedom and magnetically tunable interactions. This realization has been enabled by the demonstration of a…

Quantum Gases · Physics 2015-12-30 G. Pagano , M. Mancini , G. Cappellini , L. Livi , C. Sias , J. Catani , M. Inguscio , L. Fallani

We study the three-body problem for three atomic fermions, in the same spin state, experiencing a resonant interaction in the p-wave channel via a Feshbach resonance represented by a two-channel model. The rate of inelastic processes due to…

Other Condensed Matter · Physics 2009-11-13 Mattia Jona-Lasinio , Ludovic Pricoupenko , Yvan Castin

We present the theory of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. Using a two-channel description of the resonance, we derive analytic results for the scattering states inside the…

Other Condensed Matter · Physics 2008-02-05 N. Nygaard , R. Piil , K. Molmer

We study a system of ultracold fermionic Potassium (40K) atoms in a three-dimensional optical lattice in the vicinity of an s-wave Feshbach resonance. Close to resonance, the system is described by a multi-band Bose-Fermi Hubbard…

Quantum Gases · Physics 2010-06-30 I. Titvinidze , M. Snoek , W. Hofstetter

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 study a spin-polarized degenerate Fermi gas interacting via a p-wave Feshbach resonance in an optical lattice. The strong confinement available in this system allows us to realize one- and two-dimensional gases and therefore to restrict…

Other Condensed Matter · Physics 2011-07-19 Kenneth Günter , Thilo Stöferle , Henning Moritz , Michael Köhl , Tilman Esslinger

Exchange-antisymmetric pair wavefunctions in fermionic systems can give rise to unconventional superconductors and superfluids with non-trivial transport properties. The realisation of these states in controllable quantum systems, such as…

We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the…

Quantum Gases · Physics 2015-05-14 H. P. Büchler

We investigate states of fermionic atoms across a broad Feshbach resonance in an optical superlattice which allows interaction only among a small number of lattice sites. The states are in general described by superpositions of atomic…

Other Condensed Matter · Physics 2009-11-11 T. Goodman , L. -M. Duan

We study the weak-tunnelling limit for a system of cold 40K atoms trapped in a one-dimensional optical lattice close to an s-wave Feshbach resonance. We calculate the local spectrum for three atoms at one site of the lattice within a…

Quantum Gases · Physics 2010-02-26 T. Duric , A. F. Ho , D . K. K. Lee
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