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We describe an experimental protocol for introducing spin-dependent lattice structure in a cold atomic fermi gas using lasers. It can be used to realize Hubbard models whose hopping parameters depend on spin and whose interaction strength…

Superconductivity · Physics 2016-08-31 W. Vincent Liu , Frank Wilczek , Peter Zoller

We explore the phase diagram for an $SU(N)$ gauge theory in $2 + 1$ dimensions with three families of fermions with different masses, all in the fundamental representation. The phase diagram is three dimensional and contains cuboid, planar…

High Energy Physics - Theory · Physics 2021-03-12 Abdullah Khalil , Radu Tatar

The Hubbard model, containing only the minimum ingredients of nearest neighbor hopping and on-site interaction for correlated electrons, has succeeded in accounting for diverse phenomena observed in solid-state materials. One of the…

Quantum Gases · Physics 2012-11-29 Shintaro Taie , Rekishu Yamazaki , Seiji Sugawa , Yoshiro Takahashi

We study the ferromagnetic instability in an SU($N$) Fermi-Hubbard model on the hypercubic lattice. Combining dynamical mean-field theory with continuous-time quantum Monte Carlo simulations, we find that, in the strong-coupling regime at…

Strongly Correlated Electrons · Physics 2026-03-24 Juntaro Fujii , Kazuki Yamamoto , Akihisa Koga

Fermionic quantum processors are a promising platform for quantum simulation of correlated fermionic matter. In this work, we study a hardware-efficient protocol for measuring complex expectation values of the time-evolution operator,…

Fermionic artificial matter realized with cold atoms grants access to an unprecedented degree of control on sophisticated many-body effects with an enhanced flexibility of the operating conditions. We consider three-component fermions with…

Quantum Gases · Physics 2023-06-14 Wayne J. Chetcuti , Juan Polo , Andreas Osterloh , Paolo Castorina , Luigi Amico

We calculate the superfluid transition temperature for a two-component 3D Fermi gas in a 1D tight optical lattice and discuss a dimensional crossover from the 3D to quasi-2D regime. For the geometry of finite size discs in the 1D lattice,…

Superconductivity · Physics 2009-11-11 G. Orso , G. V. Shlyapnikov

We propose the $(3+1)$-dimensional $\mathbb{Z}_3$ lattice gauge theory coupled with the 2-flavor Wilson-Dirac fermion as a toy model for studying quantum chromodynamics (QCD) at nonzero density. We study its phase diagram in the space of…

High Energy Physics - Lattice · Physics 2024-06-10 Yoshimasa Hidaka , Yuya Tanizaki , Arata Yamamoto

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have emerged as a valuable tool to study strongly correlated quantum matter. These experiments are now reaching regimes that are numerically difficult…

Quantum Gases · Physics 2022-01-05 Annabelle Bohrdt , Lukas Homeier , Christian Reinmoser , Eugene Demler , Fabian Grusdt

An ultracold gas of interacting fermionic atoms in a three-dimensional optical lattice is considered, where the lattice potential strength is periodically modulated. This non-equilibrium system is non-perturbatively described by means of a…

Quantum Physics · Physics 2016-03-07 Regine Frank

We study the nature of the phase diagram of three-dimensional lattice models in the presence of nonabelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_f…

High Energy Physics - Lattice · Physics 2019-12-11 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

Pairing of fermions lies at the heart of superconductivity, the hierarchy of nuclear binding energies and superfluidity of neutron stars. The Hubbard model of attractively interacting fermions provides a paradigmatic setting for fermion…

Quantum Gases · Physics 2023-07-14 Thomas Hartke , Botond Oreg , Carter Turnbaugh , Ningyuan Jia , Martin Zwierlein

Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound…

Superconductivity · Physics 2009-11-13 Xia-Ji Liu , Hui Hu , Peter D. Drummond

Ultracold atoms in optical lattices have great potential to contribute to a better understanding of some of the most important issues in many-body physics, such as high-$T_c$ superconductivity. The Hubbard model describes many of the…

Accessing new regimes in quantum simulation requires the development of new techniques for quantum state preparation. We demonstrate the quantum state engineering of a strongly correlated many-body state of the two-component repulsive…

Quantum Gases · Physics 2018-06-20 Christie S. Chiu , Geoffrey Ji , Anton Mazurenko , Daniel Greif , Markus Greiner

A novel way to produce quantum Hall ribbons in a cold atomic system is to use M hyperfine states of atoms in a 1D optical lattice to mimic an additional "synthetic dimension". A notable aspect here is that the SU(M) symmetric interaction…

The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

We show that the Hubbard Hamiltonian with particle-assisted tunneling rates --recently proposed to model a fermionic mixture near a broad Feshbach resonance-- displays a ground state phase diagram with superfluid, insulating, and phase…

Quantum Physics · Physics 2009-10-08 Alberto Anfossi , Luca Barbiero , Arianna Montorsi

Strongly interacting electron systems can provide insight into quantum many-body phenomena, such as Mott insulating behavior and spin liquidity, facilitating semiconductor optimization. The Fermi-Hubbard model is the prototypical model used…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Sumedh Vangara

We study fermion pairing in a population-imbalanced mixture of $^{6}$Li atomic gas loaded in a three-dimensional lattice at very low temperatures. Using the number equation for each population, the gap equation and the equation for the…

Quantum Gases · Physics 2013-10-09 Rafael Mendoza , Mauricio Fortes , M. A. Solís , Zlatko Koinov
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