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We study the phase diagram of a one-dimensional, two-component attractive fermions on optical lattices in an off-diagonal confinement. We identify in this system a pure Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state with spatially modulated…

Strongly Correlated Electrons · Physics 2012-04-17 A-Hai Chen , Gao Xianlong

We use Quantum Monte Carlo (QMC) simulations to study the pairing mechanism in a one-dimensional fermionic system governed by the Hubbard model with attractive contact interaction and with imbalance between the two spin populations. This is…

Quantum Gases · Physics 2015-03-17 M. J. Wolak , V. G. Rousseau , G. G. Batrouni

Ground state Hartree-Fock-Bogoliubov (HFB) theory is applied to imbalanced spin-1/2 one-dimensional Fermi systems that are spatially confined by either a harmonic or a hard-wall trapping potential. It has been hoped that such systems, which…

Quantum Gases · Physics 2020-07-01 Kelly R. Patton , Daniel E. Sheehy

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 population imbalanced Fermi mixtures under quasi-two-dimensional confinement at zero temperature. Using mean-field theory and the local-density approximation, we study the ground state configuration throughout the BEC-BCS…

Other Condensed Matter · Physics 2011-12-26 Bert Van Schaeybroeck , Achilleas Lazarides , Serghei Klimin , Jacques Tempere

The spin-$1$ orthogonal dimer chain is investigated using the Density Matrix Renormalization Group (DMRG) algorithm. A transformation to a basis that uses the local eigenstates of the orthogonal dimers, while retaining the local spin states…

Strongly Correlated Electrons · Physics 2025-07-30 Ernest Ong , Dhiman Bhowmick , Sharoz Schezwen , Pinaki Sengupta

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schr\"odinger…

Quantum Gases · Physics 2016-02-17 M. I. Trappe , P. Grochowski , M. Brewczyk , K. Rzążewski

We investigate the properties of a spin-imbalanced and rotating unitary Fermi gas. Using a density functional theory (DFT), we provide insight into states that emerge as a result of a competition between Abrikosov lattice formation, spatial…

Quantum Gases · Physics 2022-04-07 Jakub Kopyciński , Wojciech R. Pudełko , Gabriel Wlazłowski

We present an exact Quantum Monte Carlo study of the attractive 1-dimensional Hubbard model with imbalanced fermion population. The pair-pair correlation function, which decays monotonically in the absence of polarization P, develops…

Strongly Correlated Electrons · Physics 2009-11-13 G. G. Batrouni , M. H. Huntley , V. G. Rousseau , R. T. Scalettar

Larkin-Ovchinnikov (LO) state which combines the superfluidity and spatial periodicity of pairing order parameter and exhibits the supersolid properties has been attracting intense attention in both condensed matter physics and ultracold…

Quantum Gases · Physics 2019-04-10 Qing Sun , Liang-Liang Wang , Xiong-Jun Liu , G. Juzeliūnas , An-Chun Ji

The variational determination of the two-fermion reduced density matrix is described for harmonically trapped, ultracold few-fermion systems in one dimension with equal spin populations. This is accomplished by formulating the problem as a…

Quantum Gases · Physics 2022-11-11 Mitchell J. Knight , Harry M. Quiney , Andy M. Martin

In this paper, we investigate the ground state properties of a mixture of two species of fermionic atoms in one-dimensional optical lattice, as described by the asymmetric Hubbard model. The quantum phase transition from density wave to…

Strongly Correlated Electrons · Physics 2009-11-11 Shi-Jian Gu , Rui Fan , Hai-Qing Lin

We explore systematically the ground state properties of one dimensional fermions with long-range interactions decaying in a power law $\sim1/r^\alpha$ through the density matrix renormalization group algorithm. By comparing values of…

Strongly Correlated Electrons · Physics 2019-04-30 Zhi-Hua Li

The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in quasi-one-dimensional systems with warped Fermi surfaces is examined in strong parallel magnetic fields. It is shown that the state is extremely stable for field directions around…

Superconductivity · Physics 2018-07-10 Katsumi Itahashi , Hiroshi Shimahara

Using exact continuous quantum Monte Carlo techniques, we study the zero and finite temperature properties of a system of harmonically trapped one dimensional spin 1/2 fermions with short range interactions. Motivated by experimental…

Other Condensed Matter · Physics 2009-11-13 Michele Casula , D. M. Ceperley , Erich J. Mueller

We study the interplay between population imbalance in a two-component fermionic system and nearest-neighbor interaction using matrix product states method. Our analysis reveals the existence of a new type of…

Quantum Gases · Physics 2016-08-17 A. Dhar , J. J. Kinnunen , P. Törmä

We review the concepts and the present state of theoretical studies of spin-imbalanced superfluidity, in particular the elusive Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, in the context of ultracold quantum gases. The comprehensive…

Quantum Gases · Physics 2019-04-30 Jami J. Kinnunen , Jildou E. Baarsma , Jani-Petri Martikainen , Päivi Törmä

We study attractively interacting spin-1/2 fermions on the square lattice subject to a spin population imbalance. Using unbiased diagrammatic Monte Carlo simulations we find an extended region in the parameter space where the Fermi liquid…

Superconductivity · Physics 2016-09-07 Jan Gukelberger , Sebastian Lienert , Evgeny Kozik , Lode Pollet , Matthias Troyer

The zero-temperature phase diagrams of imbalanced two-species Fermi gases are investigated in asymmetric optical lattices with arbitrary potential depths, based on the exact spectrum instead of the Fermi-Hubbard model. We study the effect…

Quantum Gases · Physics 2010-02-23 Xiaoling Cui , Yupeng Wang

Motivated by recent experiments in low-dimensional trapped fermionic superfluids, we study a quasi-one-dimensional (quasi-1D) superfluid with a population imbalance between two hyperfine states using an exact mean-field solution for the…

Superconductivity · Physics 2011-09-30 Roman M. Lutchyn , Maxim Dzero , Victor M. Yakovenko