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A fluctuating-valence impurity in a metal is quantum-critical unlike a Kondo impurity which has the properties of a local Fermi-liquid. A systematic theory for the fluctuating-valence lattice is constructed, based on the hybridization and…

Strongly Correlated Electrons · Physics 2024-06-19 C. M. Varma

We investigate the dynamics of quantum vortex dipoles in a strongly interacting, spin-imbalanced Fermi superfluid at zero temperature. Using fully microscopic time-dependent density functional theory, we demonstrate that the dipole…

Quantum Gases · Physics 2025-11-05 Andrea Barresi , Piotr Magierski , Gabriel Wlazłowski

We study the spectrum and stationary states in a ring-shaped lattice potential in the context of ultracold atoms with attractive interatomic interactions. We determine analytical solutions in the absence of a lattice by mapping them to…

Quantum Gases · Physics 2023-11-28 Jonathan Tekverk , Christopher Siebor , Kunal K. Das

We explore the superfluid phases of a two-component Fermi mixture with hybridized orbitals in optical lattices. We show that there exists a general mapping of this system to the Lieb lattice. By using simple multiband models with hopping…

Quantum Gases · Physics 2015-11-30 Shaoyu Yin , J. E. Baarsma , M. O. J. Heikkinen , J. -P. Martikainen , P. Törmä

We investigate the generalized Hubbard model of $(2n+1)$ Fermion species interacting via a symmetric contact attraction potential. We prove that the ground state of such system is a gapless superfluid, where a full Fermi surface coexists…

Superconductivity · Physics 2011-04-11 Betzalel Bazak , Nir Barnea

We study the zero-temperature phase diagram of the 2D spin-imbalanced Fermi gas with short-ranged attractive interactions using the recently developed neural network variational Monte Carlo method with the AGPs FermiNet Ansatz. The…

Spin-changing collisions in trapped Fermi gases may acquire a resonant character due to the compensation of quadratic Zeeman effect and trap energy. These resonances are absent in spinor condensates and pseudo-spin-1/2 Fermi gases, being a…

Other Condensed Matter · Physics 2009-11-13 N. Bornemann , P. Hyllus , L. Santos

We investigate theoretically the formation of a vortex lattice in a superfluid two-spin component Fermi gas in a rotating harmonic trap, in a BCS-type regime of condensed non-bosonic pairs. Our analytical solution of the superfluid…

Other Condensed Matter · Physics 2016-08-16 Giulia Tonini , Félix Werner , Yvan Castin

This work shows that a strongly correlated phase which is gapped to collective spin excitations but gapless to charge fluctuations emerges as a universal feature in one-dimensional fermionic systems obeying certain symmetries. Namely,…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tommy Li

The presence of attractive interaction between fermions can lead to pairing and superfluidity in an optical lattice. The temperature needed to observe superfluidity is about a tenth of the tunneling energy in the optical lattice, and…

Quantum Gases · Physics 2011-04-27 Viveka Nand Singh , Sanjoy Datta , Pinaki Majumdar

Lattice field theory is a useful tool for studying strongly interacting theories in condensed matter physics. A prominent example is the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length.…

Quantum Gases · Physics 2011-03-23 Olga Goulko , Matthew Wingate

We develop a theory for interacting fermions in the presence of spin-orbit coupling and Zeeman fields, and show that many new superfluids phases, which are topological in nature, emerge. Depending on values of spin-orbit coupling, Zeeman…

Quantum Gases · Physics 2011-10-31 Kangjun Seo , Li Han , C. A. R. Sá de Melo

Topological superfluids usually refer to a superfluid state which is gapped in the bulk but metallic at the boundary. Here we report that a gapless, topologically non-trivial superfluid with inhomogeneous Fulde-Ferrell pairing order…

Quantum Gases · Physics 2014-10-07 Ye Cao , Shu-Hao Zou , Xia-Ji Liu , Su Yi , Gui-Lu Long , Hui Hu

We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction, using the recently developed projective truncation approximation in Green's function equation of motion. For attractive…

Strongly Correlated Electrons · Physics 2022-02-03 Kou-Han Ma , Ning-Hua Tong

The electromagnetic field of standing-wave or ring cavities induces a spatially modulated, infinite-range interaction between atoms in an ultracold Fermi gas, with a single wavelength comparable to the Fermi length. This interaction has no…

Quantum Gases · Physics 2026-05-04 Bernhard Frank , Michele Pini , Johannes Lang , Francesco Piazza

We study attractively interacting fermions on a square lattice with dispersion relations exhibiting strong spin-dependent anisotropy. The resulting Fermi surface mismatch suppresses the s-wave BCS-type instability, clearing the way for…

Spinless fermions with Coulomb interaction in a square disordered lattice form a new state of the matter which is nor a Fermi glass, neither a Wigner crystal for intermediate Coulomb interaction. From a numerical study of small clusters, we…

Condensed Matter · Physics 2007-05-23 Giuliano Benenti , Xavier Waintal , Jean-Louis Pichard

Using the time-dependent density matrix renormalization group method, we calculate transport properties of an interacting Fermi gas in an optical lattice with a confining trap after a sudden displacement of the trap center. In the regime of…

Quantum Gases · Physics 2012-09-18 Jia-Wei Huo , Weiqiang Chen , U. Schollwöck , M. Troyer , Fu-Chun Zhang

We investigate the superfluidity of attractive Fermi gas in a square optical lattice with spin-orbit coupling (SOC). We show that the system displays a variety of new filling-dependent features. At half filling, a quantum phase transition…

Quantum Gases · Physics 2015-06-15 Q. Sun , G. -B. Zhu , W. -M. Liu , A. -C. Ji

Based on consideration of the system symmetry and its Hilbert space, we show that strongly interacting fermions in an optical lattice or superlattice can be generically described by a lattice resonance Hamiltonian. The latter can be mapped…

Other Condensed Matter · Physics 2009-11-13 L. -M. Duan