Few interacting fermions in one-dimensional harmonic trap

Abstract

We study spin-1/2 fermions, interacting via a two-body contact potential, in a one-dimensional harmonic trap. Applying exact diagonalization, we investigate their behavior at finite interaction strength, and discuss the role of the ground-state degeneracy which occurs for sufficiently strong repulsive interaction. Even low temperature or a completely depolarizing channel may then dramatically influence the system's behavior. We calculate level occupation numbers as signatures of thermalization, and we discuss the mechanisms to break the degeneracy.

References in corpus (3)

• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Ferromagnetic spin correlations in a few-fermion system
• Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap

Cited by in corpus (73)

• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Thermometry in the quantum regime: Recent theoretical progress
• Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
• One-dimensional mixtures of several ultracold atoms: a review
• Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
• Ground-State Ferromagnetic Transition in Strongly Repulsive One-Dimensional Fermi Gases
• Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
• Distinguishability, degeneracy and correlations in three harmonically trapped bosons in one-dimension
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• Quenching small quantum gases: Genesis of the orthogonality catastrophe
• Magnetism in strongly interacting one-dimensional quantum mixtures
• 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
• Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
• 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
• Pairing of few Fermi atoms in one dimension
• 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
• Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement
• Strongly interacting mesoscopic systems of anyons in one dimension
• Few-fermion thermometry
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• Fractional energy states of strongly-interacting bosons in one dimension
• Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
• Exploring the few- to many-body crossover using cold atoms in one dimension
• SU(N) Fermions in a One-Dimensional Harmonic Trap
• Probing Ferromagnetic Order in Few-Fermion Correlated Spin-Flip Dynamics
• Coherent Oscillations in Small Fermi Polaron Systems
• Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
• Strongly interacting Bose-Fermi mixtures in one dimension
• Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
• Multicomponent Strongly Interacting Few-Fermion Systems in One Dimension
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Static and dynamic properties of a few spin $1/2$ interacting fermions trapped in an harmonic potential
• Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
• Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
• Spin-Orbit Coupled One-Dimensional Fermi Gases with Infinite Repulsion
• Two interacting ultracold molecules in a one-dimensional harmonic trap
• Optimized Configuration Interaction Approach for Trapped Multiparticle Systems Interacting Via Contact Forces
• Reduced density matrix approach to ultracold few-fermion systems in one dimension
• Diffusion in a system of a few distinguishable fermions in a one-dimensional double-well potential
• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• Intercomponent correlations in attractive one-dimensional mass-imbalanced few-body mixtures
• Comparing models for the ground state energy of a trapped one-dimensional Fermi gas with a single impurity
• Interplay of phase separation and itinerant magnetism for correlated few fermions in a double-well
• Slightly imbalanced system of a few attractive fermions in a one-dimensional harmonic trap
• Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension
• Few-Boson Processes in the Presence of an Attractive Impurity under One-Dimensional Confinement
• One-dimensional Repulsive Fermi Gas in a Tunable Periodic Potential
• Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement
• Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• 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
• Unconventional pairing in few-fermion systems at finite temperature
• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures
• Dynamics of small trapped one-dimensional Fermi gas under oscillating magnetic fields
• Rabi-resonant behavior of periodically-driven correlated fermion systems
• Two ultracold highly magnetic atoms in a one-dimensional harmonic trap
• Few-fermion resonant tunneling and underbarrier trapping in asymmetric potentials
• Trap effects and continuum limit of the Hubbard model in the presence of a harmonic potential
• Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps
• Spin-charge correlations in finite one-dimensional multi-band Fermi systems
• Few-to-many-particle crossover of pair excitations in a superfluid
• Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
• Memory efficient Fock-space recursion scheme for computing many-fermion resolvents
• Systematic interpolatory ansatz for one-dimensional polaron systems
• On the direct diagonalization method for a few particles trapped in harmonic potentials