Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions

Abstract

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 searches for modulated Fulde-Ferrel-Larkin-Ovchinikov states, we systematically examine the impact of a spin imbalance on the density profiles. We quantify the accuracy of the Thomas-Fermi approximation, finding that for sufficiently large particle numbers (N > 100) it quantitatively reproduces most features of the exact density profile. The Thomas-Fermi approximation fails to capture small Friedel-like spin and density oscillations and overestimates the size of the fully paired region in the outer shell of the trap. Based on our results, we suggest a range of experimentally tunable parameters to maximize the visibility of the double shell structure of the system and the Fulde-Ferrel-Larkin-Ovchinikov state in the one dimensional harmonic trap. Furthermore, we analyze the fingerprints of the attractive contact interactions in the features of the momentum and pair momentum distributions.

11 pages, 10 figures

References in corpus (40)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Exciting Collective Oscillations in a Trapped 1D Gas
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Interior Gap Superfluidity
• Confinement induced molecules in a 1D Fermi gas
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
• Phase separation in asymmetrical fermion superfluids
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Attractive Fermi gases with unequal spin populations in highly elongated traps
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Correlated geminal wave function for molecules: an efficient resonating valence bond approach
• Finite temperature phase diagram of a polarised Fermi condensate
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Stability Criteria for Breached Pair Superfluidity
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Observation of the Fulde-Ferrell-Larkin-Ovchinnikov state in the quasi-two-dimensional organic superconductor $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Inhomogeneous superconducting state in quasi-one-dimensional systems
• Commensurate-incommensurate transition of cold atoms in an optical lattice
• Quasi-one-dimensional polarized Fermi superfluids
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• High-momentum tail in the Tonks gas under harmonic confinement
• Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
• Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
• Pairing in a two-component ultracold Fermi gas: phases with broken space symmetries
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Sarma Phase in Trapped Unbalanced Fermi Gases
• Spontaneous breaking of rotational symmetry in superconductors
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
• Wigner Crystallization in inhomogeneous one dimensional wires
• Commensurability effects for fermionic atoms trapped in 1D optical lattices

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• Ultra-cold Polarized Fermi Gases
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Matrix product ansatz for Fermi fields in one dimension
• Physics of higher orbital bands in optical lattices: a review
• Theory of quasi-one dimensional imbalanced Fermi gases
• Paired states in spin-imbalanced atomic Fermi gases in one dimension
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
• Crossover between few and many fermions in a harmonic trap
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases
• Probing the FFLO phase by double occupancy modulation spectroscopy
• One-dimensional Fermi gas with a single impurity in a harmonic trap: Perturbative description of the upper branch
• Expansion of 1D polarized superfluids: The FFLO state reveals itself
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Pairing of few Fermi atoms in one dimension
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• Pairing in a two-dimensional Fermi gas with population imbalance
• Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
• Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of non-relativistic fermions in one dimension
• Asymptotic correlation functions and FFLO signature for the one-dimensional attractive spin-1/2 Fermi gas
• Effect of confinement potential geometry on entanglement in quantum dot-based nanostructures
• BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• One-dimensional multicomponent fermions with delta function interaction in strong and weak coupling limits: Two-component Fermi gas
• Finite temperature QMC study of the one-dimensional polarized Fermi gas
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• Quantum Criticality of 1D Attractive Fermi Gas
• Accelerating the convergence of exact diagonalization with the transcorrelated method: Quantum gas in one dimension with contact interactions
• Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
• Finite-Temperature Behavior of an Inter-species Fermionic Superfluid with Population Imbalance
• Population imbalanced lattice fermions near the BCS-BEC crossover: I.The breached pair and metastable FFLO phases
• Population imbalanced lattice fermions near the BCS-BEC crossover: II. The FFLO regime and its thermal signatures
• Strong coupling s-wave superconductors in the extreme Pauli limit: I.The breached pair and metastable FFLO phases
• Particle partition entanglement of bosonic Luttinger liquids
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• FFLO vs Bose-Fermi mixture in polarized 1D Fermi gas on a Feshbach resonance: a 3-body study
• Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
• Pseudopotential for the 2D contact interaction
• Spatial entanglement entropy in the ground state of the Lieb-Liniger model
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
• Pure Fulde-Ferrell-Larkin-Ovchinnikov state in optical lattices
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Inhomogeneous state of few-fermion superfluids
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Proposal for interferometric detection of topological defects in modulated superfluids
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
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• One-dimensional Repulsive Fermi Gas in a Tunable Periodic Potential
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
• Unconventional pairing in few-fermion systems at finite temperature
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Density functional theory versus quantum Monte Carlo simulations of Fermi gases in the optical-lattice arena
• Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions
• Dimensional crossover on multileg attractive-$U$ Hubbard ladders
• Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach
• Double occupancies in confined attractive fermions on optical lattices
• Pair Approximating the Action For Molecular Rotations in Path Integral Monte Carlo
• Geometry induced entanglement transitions in nanostructures
• Pairing in population imbalanced Fermion systems
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
• Loschmidt echo and Momentum Distribution in a Kitaev Spin Chain
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems
• Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions
• Unconventional pairing in few-fermion systems tuned by external confinement