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These lecture notes review recent progress in studying the Fermi-Hubbard model using ultracold gases in optical lattices. We focus on results from quantum gas microscope experiments that have allowed site-resolved measurements of charge and…

Quantum Gases · Physics 2025-07-08 Waseem S. Bakr , Zengli Ba , Max L. Prichard

We study the Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) superconducting state in the disordered systems. We analyze the microscopic model, in which the d-wave superconductivity is stabilized near the antiferromagnetic quantum critical point,…

Superconductivity · Physics 2015-05-13 Youichi Yanase

The ground state phase diagram of the two-dimensional attractive Hubbard model with population imbalance is explored using a mean field ansatz. A linear programming algorithm is used to identify the blocked states, such that the population…

Strongly Correlated Electrons · Physics 2009-02-10 Stefan M. A. Rombouts

We study the influence of population imbalance on the pairing, spin, and density instabilities of a two component ideal Fermi gas after a sudden quench of interactions near a Feshbach resonance. Over a large region of parameters the pairing…

Quantum Gases · Physics 2012-03-27 Inti Sodemann , D. A. Pesin , A. H. MacDonald

Many exotic phenomena in strongly correlated electron systems emerge from the interplay between spin and motional degrees of freedom. For example, doping an antiferromagnet gives rise to interesting phases including pseudogap states and…

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is examined in quasi-one-dimensional s-wave and d-wave superconductors with particular attention paid to the effect of the Fermi-surface anisotropy. The upper critical field $H_{c2}(T)$ is…

Superconductivity · Physics 2015-06-18 Nobumi Miyawaki , Hiroshi Shimahara

The general structure of the $s$-wave fermionic superfluid pairing order parameter is discussed for systems in thermal equilibrium. We demonstrate that for finite-size systems with fixed boundary conditions the pairing-amplitude may always…

Quantum Gases · Physics 2011-04-01 T. Gottwald , P. G. J. van Dongen

We study spin imbalance effects on the Larkin-Ovchinikov-Fulde-Ferrel (LOFF) state relevant for superconductors under a strong magnetic field and spin polarized ultracold Fermi gas. We obtain the exact solution for the condensates with…

Superconductivity · Physics 2011-07-14 Ryosuke Yoshii , Shunji Tsuchiya , Giacomo Marmorini , Muneto Nitta

We investigate the stability of the superfluid state in a bilayer fermionic optical lattice system with a confining potential, using the Bogoliubov de-Gennes equations. It is clarified that in the imbalanced case, the introduction of the…

Superconductivity · Physics 2013-01-16 Yasuharu Okawauchi , Akihisa Koga

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states for two-dimensional s- and d-wave superconductors (s- and d-SC) are self-consistently studied under an in-plane magnetic field. While the stripe solution of the order parameter (OP) is…

Superconductivity · Physics 2007-05-23 Qian Wang , H. -Y. Chen , C. -R. Hu , C. S. Ting

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive interactions in a one-dimensional optical lattice, using both the local density approximation (LDA) and density matrix renormalization group (DMRG)…

Quantum Gases · Physics 2010-05-07 F. Heidrich-Meisner , G. Orso , A. Feiguin

By using the numerically exact density-matrix renormalization group (DMRG) approach, we investigate the ground states of harmonically trapped one-dimensional (1D) fermions with population imbalance and find that the Larkin-Ovchinnikov (LO)…

Quantum Gases · Physics 2010-06-01 Masaki Tezuka , Masahito Ueda

The evolution of an attractive polarized two-component Fermi gas at zero temperature is analyzed as its polarization is progressively decreased, from full polarization (corresponding to the polaronic limit) down to a critical polarization…

Quantum Gases · Physics 2023-02-15 Michele Pini , Pierbiagio Pieri , Giancarlo Calvanese Strinati

The paramagnetic metallic phase of the one-dimensional Kondo lattice model is studied by the density-matrix renormalization- group method. We observe charge and spin Friedel oscillations. They reflect the long range charge-charge and…

Condensed Matter · Physics 2009-10-28 N. Shibata , K. Ueda , T. Nishino , C. Ishii

We calculate the excitation spectra of a spin-polarized Hubbard chain away from half-filling, using a high-precision momentum-resolved time-dependent Density Matrix Renormalization Group method. Focusing on the U<0 case, we present in some…

Strongly Correlated Electrons · Physics 2009-04-01 Adrian E. Feiguin , David A. Huse

We propose an experimental protocol to study $p$-wave superfluidity in a spin-polarized cold Fermi gas tuned by an $s$-wave Feshbach resonance. A crucial ingredient is to add a quasi-1D optical lattice and tune the fillings of two spins to…

Quantum Gases · Physics 2016-09-07 Bo Liu , Xiaopeng Li , Randall G. Hulet , W. Vincent Liu

A sufficiently large parallel magnetic field will generate staggered supercurrent loops and superfluid density wave in two weakly linked superconducting (SC) ultrathin films, resulting in an inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov…

Superconductivity · Physics 2022-03-25 Gao-Wei Qiu , Yi Zhou

By using unbiased continuos-space quantum Monte Carlo simulations, we investigate the ground state properties of a one-dimensional repulsive Fermi gas subjected to a commensurate periodic optical lattice (OL) of arbitrary intensity. The…

Quantum Gases · Physics 2017-08-23 Sebastiano Pilati , Luca Barbiero , Rosario Fazio , Luca Dell'Anna

The study of ultracold atomic Fermi gases is a rapidly exploding subject which is defining new directions in condensed matter and atomic physics. Quite generally what makes these gases so important is their remarkable tunability and…

Quantum Gases · Physics 2012-02-13 K. Levin , Randall G. Hulet

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, characterized by Cooper pairs condensed at finite momentum, has been a long-sought state that remains unresolved in many classes of fermionic systems, including superconductors and…