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Understanding the magnetic response of the normal state of the cuprates is considered a key piece in solving the puzzle of their high-temperature superconductivity. The essential physics of these materials is believed to be captured by the…

We investigate two-component ultracold fermionic atoms with repulsive interactions trapped in an optical lattice with a ladder structure. By applying the Bogoliubov-de Gennes equations to an effective t-J model in the strong correlation…

Statistical Mechanics · Physics 2009-11-13 Yusuke Fujihara , Akihisa Koga , Norio Kawakami

Using unitary transformations, we express the Kondo lattice Hamiltonian in terms of fermionic operators that annihilate the ground state of the interacting system and that represent the best possible approximations to the actual charged…

Condensed Matter · Physics 2009-10-28 J. M. Prats , F. Lopez-Aguilar

We directly observe the hydrodynamic linear response of a unitary Fermi gas confined in a box potential and subject to a spatially periodic optical potential that is translated into the cloud at speeds ranging from subsonic to supersonic.…

Quantum Gases · Physics 2019-10-23 Lorin Baird , Xin Wang , Stetson Roof , J. E. Thomas

The correlated fermionic many-particle system, near infinite scattering length, reveals an underlying Heisenberg symmetry in one dimension, as compared to an $SO(2,1)$ symmetry in two dimensions. This facilitates an exact map from the…

We derive the low energy effective action for the collective modes in systems of fermions interacting via a short-range s-wave attraction, featuring unequal chemical potentials for the two fermionic species (asymmetric systems). As a…

Superconductivity · Physics 2014-11-18 Elena Gubankova , Massimo Mannarelli , Rishi Sharma

We show that the wave function of a one dimensional spinor gas with contact $s$-wave interaction, either bosonic or fermionic, can be mapped to the direct product of the wave function of a spinless Fermi gas with short-range $p$-wave…

Quantum Gases · Physics 2016-09-13 Li Yang , Han Pu

We discuss the emergence of p-wave superfluidity of identical atomic fermions in a two-dimensional optical lattice. The optical lattice potential manifests itself in an interplay between an increase in the density of states on the Fermi…

Quantum Gases · Physics 2017-04-20 A. K. Fedorov , V. I. Yudson , G. V. Shlyapnikov

We report on the experimental observation of an analog to a persistent alternating photocurrent in an ultracold gas of fermionic atoms in an optical lattice. The dynamics is induced and sustained by an external harmonic confinement. While…

Quantum Gases · Physics 2013-02-22 J. Heinze , J. S. Krauser , N. Fläschner , B. Hundt , S. Götze , A. P. Itin , L. Mathey , K. Sengstock , C. Becker

A novel combined unitary and symmetric group approach is used to study the spin-$\frac{1}{2}$ Heisenberg model and related Fermionic systems in a spin-adapted representation, using a linearly-parameterised Ansatz for the many-body wave…

Strongly Correlated Electrons · Physics 2022-06-01 Werner Dobrautz , Vamshi M. Katukuri , Nikolay A. Bogdanov , Daniel Kats , Giovanni Li Manni , Ali Alavi

Optical traps and lattices provide a new opportunity to study strongly correlated high spin systems with cold atoms. In this article, we review the recent progress on the hidden symmetry properties in the simplest high spin fermionic…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu

We investigate effects of pseudo-spin population imbalance on Mott phases in 1D trapped two-component atomic Fermi gases loaded on optical lattices based on the repulsive Hubbard model in harmonic traps. By using the density matrix…

Strongly Correlated Electrons · Physics 2009-01-30 M. Machida , M. Okumura , S. Yamada , T. Deguchi , Y. Ohashi , H. Matsumoto

We consider a strongly repulsive two-component Fermi gas in a one-dimensional (1D) optical lattice described in terms of a Hubbard Hamiltonian. We analyze the response of the system to a periodic modulation of the hopping amplitude in…

Quantum Gases · Physics 2013-05-29 F. Massel , M. J. Leskinen , P. Torma

Recently, it has been shown that the momentum distribution of a metallic state of fermionic atoms in a lattice Fermi-Bose mixture exhibits coherent oscillations after a global quench that suppresses tunneling. The oscillation period is…

Quantum Gases · Physics 2014-09-25 Deepak Iyer , Rubem Mondaini , Sebastian Will , Marcos Rigol

We observe effects of collective atomic motion in a one-dimensional optical lattice coupled to an optomechanical system. In this hybrid atom-optomechanical system, the lattice light generates a coupling between the lattice atoms as well as…

Quantum Physics · Physics 2018-02-27 Aline Vochezer , Tobias Kampschulte , Klemens Hammerer , Philipp Treutlein

Spin-polarized samples and spin mixtures of quantum degenerate fermionic atoms are prepared in selected excited Bloch bands of an optical chequerboard square lattice. For the spin-polarized case, extreme band lifetimes above $10\,$s are…

Quantum Gases · Physics 2021-07-21 M. Hachmann , Y. Kiefer , J. Riebesehl , R. Eichberger , A. Hemmerich

Repulsively interacting particles in a periodic potential can form bound composite objects, whose dissociation is suppressed by a band gap. Nearly pure samples of such repulsively bound pairs of cold atoms -- "dimers" -- have recently been…

Other Condensed Matter · Physics 2008-03-31 David Petrosyan , Bernd Schmidt , James R. Anglin , Michael Fleischhauer

A universal $k^{-4}$ decay of the large-momentum tails of the momentum distribution, fixed by Tan's contact coefficients, constitutes a direct signature of strong correlations in a short-range interacting quantum gas. Here we consider a…

For a periodically driven quantum system an effective time-independent Hamiltonian is derived with an eigen-energy spectrum, which in the regime of large driving frequencies approximates the quasi-energies of the corresponding Floquet…

Quantum Gases · Physics 2015-05-19 Andreas Hemmerich

Arrays of ultra-cold dipolar gases loaded in optical lattices are emerging as powerful quantum simulators of the many-body physics associated with the rich interplay between long-range dipolar interactions, contact interactions, motion, and…

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