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We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches. We…

Strongly Correlated Electrons · Physics 2018-04-04 Song Cheng , Yu-Zhu Jiang , Yi-Cong Yu , Murray T. Batchelor , Xi-Wen Guan

In this Letter we report exact results on the infrared asymptotics of one-particle dynamical correlation function of the gas of impenetrable spin 1/2 fermions at infinitesimal temperature. The correlation function shows signs of spin-charge…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V. Cheianov , M. B. Zvonarev

We study the sudden expansion of spin-imbalanced ultracold lattice fermions with attractive interactions in one dimension after turning off the longitudinal confining potential. We show that the momentum distribution functions of majority…

Strongly Correlated Electrons · Physics 2012-09-19 C. J. Bolech , F. Heidrich-Meisner , S. Langer , I. P. McCulloch , G. Orso , M. Rigol

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1+1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V Cheianov , M B Zvonarev

The interplay between dimensionality, coherence and interaction in superfluid Fermi gases is analyzed by the phase correlation function of the field of fermionic pairs. We calculate this phase correlation function for a two-dimensional…

Quantum Gases · Physics 2015-06-22 J. Tempere , S. N. Klimin

Spin-polarized attractive Fermi gases in one-dimensional (1D) optical lattices are expected to be remarkably good candidates for the observation of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. We model these systems with an attractive…

Strongly Correlated Electrons · Physics 2008-06-05 M. Rizzi , Marco Polini , M. A. Cazalilla , M. R. Bakhtiari , M. P. Tosi , Rosario Fazio

We propose and analyze a variational wave function for a population-imbalanced one-dimensional Fermi gas that allows for Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type pairing correlations among the two fermion species, while also accounting…

Quantum Gases · Physics 2017-07-05 Kelly R. Patton , Dominique M. Gautreau , Stephen Kudla , Daniel E. Sheehy

In this work, we explore two-dimensional attractive Fermi gases at the microscopic level by probing spatial charge and spin correlations in situ. Using atom-resolved continuum quantum gas microscopy, we directly observe fermion pairing and…

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu

We study the phase diagram in a two-dimensional Fermi gas with the synthetic spin-orbit coupling that has recently been realized experimentally. In particular, we characterize in detail the properties and the stability region of the…

Quantum Gases · Physics 2013-10-11 Fan Wu , Guang-Can Guo , Wei Zhang , Wei Yi

We calculate density-density correlations of an expanding gas of strongly attractive ultra-cold spin-1/2 fermions in an optical lattice. The phase diagram of the tightly bound fermion pairs exhibits a Bose-Einstein condensed state and a…

Quantum Gases · Physics 2010-03-10 O. Fialko , K. Ziegler

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

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

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 study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive…

Quantum Gases · Physics 2012-04-17 Zhenhua Yu

We study the pair correlations of a spin-imbalanced two-leg ladder with attractive interactions, using the density matrix renormalization group method (DMRG). We identify regions in the phase diagram spanned by the chemical potential and…

Strongly Correlated Electrons · Physics 2009-03-12 A. E. Feiguin , F. Heidrich-Meisner

We study thermal correlation functions of the one-dimensional impenetrable lattice anyons. These correlation functions can be presented as a difference of two Fredholm determinants. To describe large time and long distance behavior of these…

Quantum Gases · Physics 2022-03-14 Yuri Zhuravlev , Eduard Naichuk , Nikolai Iorgov , Oleksandr Gamayun

We explore the pairing properties of the one-dimensional attractive Hubbard model in the presence of finite spin polarization. The correlation exponents for the most important fluctuations are determined as a function of the density and the…

Strongly Correlated Electrons · Physics 2008-08-06 Andreas Luscher , Reinhard M. Noack , Andreas Laeuchli

Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

Quantum Gases · Physics 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

We study by Monte Carlo methods the thermodynamics of a spin polarized gas of non-relativistic fermions in 1+1 dimensions. The main result of this work is that our action suffers no significant sign problem for any spin polarization in the…

High Energy Physics - Lattice · Physics 2018-09-26 Andrei Alexandru , Paulo F. Bedaque , Neill C. Warrington
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