Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap

Abstract

The nature of strongly interacting Fermi gases and magnetism is one of the most important and studied topics in condensed-matter physics. Still, there are many open questions. A central issue is under what circumstances strong short-range repulsive interactions are enough to drive magnetic correlations. Recent progress in the field of cold atomic gases allows to address this question in very clean systems where both particle numbers, interactions and dimensionality can be tuned. Here we study fermionic few-body systems in a one dimensional harmonic trap using a new rapidly converging effective-interaction technique, plus a novel analytical approach. This allows us to calculate the properties of a single spin-down atom interacting with a number of spin-up particles, a case of much recent experimental interest. Our findings indicate that, in the strongly interacting limit, spin-up and spin-down particles want to separate in the trap, which we interpret as a microscopic precursor of one-dimensional ferromagnetism in imbalanced systems. Our predictions are directly addressable in current experiments on ultracold atomic few-body systems.

12 pages, 6 figures, published version including two appendices on our new numerical and analytical approach

References in corpus (14)

• Many-Body Physics with Ultracold Gases
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Attractive and repulsive Fermi polarons in two dimensions
• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Ab-initio shell model with a core
• Coherent molecule formation in anharmonic potentials near confinement-induced resonances
• Symmetries of Three Harmonically-Trapped Particles in One Dimension
• Quantum statistical imaging of particles without restriction of the diffraction limit
• Itinerant Ferromagnetism in a polarized two-component Fermi gas
• Effective-interaction approach to the many-boson problem
• Three s-wave interacting fermions under anisotropic harmonic confinement: Dimensional crossover of energetics and virial coefficients
• Binding between two-component bosons in one dimension

Cited by in corpus (80)

• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Strongly interacting confined quantum systems in one dimension
• Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
• One-dimensional mixtures of several ultracold atoms: a review
• Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Effective approach to impurity dynamics in one-dimensional trapped Bose gases
• Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
• Quantum Impurity in a One-dimensional Trapped Bose Gas
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
• Crossover between few and many fermions in a harmonic trap
• Pairing in a system of a few attractive fermions in a harmonic trap
• Two-flavor mixture of a few fermions of different mass in a one-dimensional harmonic trap
• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• One-dimensional Fermi gas with a single impurity in a harmonic trap: Perturbative description of the upper branch
• Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap
• Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
• Strongly interacting mesoscopic systems of anyons in one dimension
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Fractional energy states of strongly-interacting bosons in one dimension
• Exploring the few- to many-body crossover using cold atoms in one dimension
• Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
• CONAN -- the cruncher of local exchange coefficients for strongly interacting confined systems in one dimension
• Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
• Accelerating the convergence of exact diagonalization with the transcorrelated method: Quantum gas in one dimension with contact interactions
• Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps
• Coherent Oscillations in Small Fermi Polaron Systems
• Probing Ferromagnetic Order in Few-Fermion Correlated Spin-Flip Dynamics
• Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
• Magnetic impurity in a one-dimensional few-fermion system
• Spectral properties and breathing dynamics of a few-body Bose-Bose mixture in a 1D harmonic trap
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• Zero-Temperature Equation of State and Phase Diagram of Repulsive Fermionic Mixtures
• Static and dynamic properties of a few spin $1/2$ interacting fermions trapped in an harmonic potential
• Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
• Strongly Interacting One-Dimensional Systems with Small Mass Imbalance
• Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
• Contact and Structure Factor for Bosonic and Fermionic Mixtures
• Diffusion in a system of a few distinguishable fermions in a one-dimensional double-well potential
• Flow equations for cold Bose gases
• A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D
• Global optimization for quantum dynamics of few-fermion systems
• Comparing models for the ground state energy of a trapped one-dimensional Fermi gas with a single impurity
• Ground-state energy, density profiles, and momentum distribution of attractively interacting 1D Fermi gases with hard-wall boundaries: a Monte Carlo study
• Quantum chaos in interacting Bose-Bose mixtures
• Engineering impurity Bell states through coupling with a quantum bath
• Slightly imbalanced system of a few attractive fermions in a one-dimensional harmonic trap
• Few-Boson Processes in the Presence of an Attractive Impurity under One-Dimensional Confinement
• Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension
• One-dimensional Repulsive Fermi Gas in a Tunable Periodic Potential
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
• Ultrastable super-Tonks-Girardeau gases under weak dipolar interactions
• Exchange interactions in the Hubbard-Stratonovich transformation for the stability analysis of itinerant ferromagnetism
• Hard-Wall and Non-Uniform Lattice Monte Carlo Approaches to One-Dimensional Fermi Gases in a Harmonic Trap
• Geometry-induced entanglement in a mass-imbalanced few-fermion system
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
• Emergence of junction dynamics in a strongly interacting Bose mixture
• Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
• The Goldilocks model of separable, zero-range, few-body interactions in one-dimensional harmonic traps
• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
• Few-fermion resonant tunneling and underbarrier trapping in asymmetric potentials
• Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
• Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
• From few to many body degrees of freedom
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model
• Effective theory for strongly attractive one-dimensional fermions
• Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap
• Several fermions strongly interacting with a heavy mobile impurity in a one-dimensional harmonic trap
• On the direct diagonalization method for a few particles trapped in harmonic potentials