Pairing in a system of a few attractive fermions in a harmonic trap
arXiv:1406.0400 · doi:10.1209/0295-5075/109/26005
Abstract
We study a strongly attractive system of a few spin-1/2 fermions confined in a one-dimensional harmonic trap, interacting via two-body contact potential. Performing exact diagonalization of the Hamiltonian we analyze the ground state and the thermal state of the system in terms of one-- and two--particle reduced density matrices. We show how for strong attraction the correlated pairs emerge in the system. We find that the fraction of correlated pairs depends on temperature and we show that this dependence has universal properties analogous to the gap function known from the theory of superconductivity. In contrast to the standard approach based on the variational ansatz and/or perturbation theory, our predictions are exact and are valid also in a strong attraction limit. Our findings contribute to the understanding of strongly correlated few-body systems and can be verified in current experiments on ultra-cold atoms.
arXiv comment6 figures
References in corpus (33)
- Observation of resonance condensation of fermionic atom pairs
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
- Deterministic Preparation of a Tunable Few-Fermion System
- From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
- Fermionization of two distinguishable fermions
- Pairing in few-fermion systems with attractive interactions
- Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
- Analytical solutions for the dynamics of two trapped interacting ultracold atoms
- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap
- Few interacting fermions in one-dimensional harmonic trap
- Ground-State Ferromagnetic Transition in Strongly Repulsive One-Dimensional Fermi Gases
- Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
- Quenching small quantum gases: Genesis of the orthogonality catastrophe
- Tunneling theory of two interacting atoms in a trap
- Super-Tonks-Girardeau gas of spin-1/2 interacting fermions
- Cooper pairing and single particle properties of trapped Fermi gases
- Exact numerical simulations of a one-dimensional, trapped Bose gas
- Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
- Pairing of few Fermi atoms in one dimension
- Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement
- Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
- Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap
- Ground state of two-component degenerate fermionic gases
- Multicomponent Strongly Interacting Few-Fermion Systems in One Dimension
- Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
- Pairing fluctuations in trapped Fermi gases
- Strongly Interacting Atoms and Molecules in a 3D Optical Lattice
- Effects of the trapping potential on a superfluid atomic Fermi Gas
- Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
- Destruction of Bose-Einstein condensate by strong interactions
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- One-dimensional mixtures of several ultracold atoms: a review
- Crossover between few and many fermions in a harmonic trap
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- Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
- Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
- 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
- Few-body precursor of the Higgs mode in a superfluid Fermi gas
- Exploring the few- to many-body crossover using cold atoms 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
- Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
- Signatures of unconventional pairing in spin-imbalanced one-dimensional few-fermion systems
- Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
- 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
- Simulating polaron biophysics with Rydberg atoms
- Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
- Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
- 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
- Global optimization for quantum dynamics of few-fermion systems
- Parity effect in a mesoscopic Fermi gas
- 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
- Ground-state energy, density profiles, and momentum distribution of attractively interacting 1D Fermi gases with hard-wall boundaries: a Monte Carlo study
- Slightly imbalanced system of a few attractive 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
- Unconventional pairing in few-fermion systems at finite temperature
- Hard-Wall and Non-Uniform Lattice Monte Carlo Approaches to One-Dimensional Fermi Gases in a Harmonic Trap
- Few-body perspective on fermionic pairing in one spatial dimension
- Rabi-resonant behavior of periodically-driven correlated fermion systems
- Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
- Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps
- Few-to-many-particle crossover of pair excitations in a superfluid
- Unconventional pairing in few-fermion systems tuned by external confinement