Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems
arXiv:2504.02997 · doi:10.1103/t6gr-vt18
Abstract
Ultra-cold atomic systems provide a versatile platform for exploring quantum phenomena, offering tunable interactions and diverse trapping geometries. In this study, we investigate a one-dimensional system of trapped fermionic atoms using the composite boson formalism, which describes pairs of opposite-spin fermions as cobosons (short for composite bosons). By constructing a superposition ansatz of coboson states, we solve the Schrödinger equation for two fermion pairs under both attractive and repulsive interactions. We determine key observables such as particle density profiles and two-body correlations. Additionally, we compute the low-lying energy spectrum and estimate the pairing gap. Our results highlight the potential of the coboson formalism for exploring quantum phenomena in strongly correlated few-body systems, achieving results comparable to standard exact diagonalization techniques.
arXiv comment13 pages, 6 figures
References in corpus (60)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Quantum metrology with nonclassical states of atomic ensembles
- Observation of Bose-Einstein Condensation of Molecules
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- 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
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Strongly interacting confined quantum systems in one dimension
- Full configuration interaction approach to the few-electron problem in artificial atoms
- Observation of pair condensation in the quasi-2D BEC-BCS crossover
- One-dimensional mixtures of several ultracold atoms: a review
- Spin-resolved single-atom imaging of Li in free space
- Analytical solutions for the dynamics of two trapped interacting ultracold atoms
- Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
- Experimental Characterization of Two-Particle Entanglement through Position and Momentum Correlations
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Observation of Cooper Pairs in a Mesoscopic 2D Fermi Gas
- Observation of Pauli Crystals
- The Effective Bosonic Hamiltonian for Excitons Reconsidered
- Improving cold-atom sensors with quantum entanglement: Prospects and challenges
- New criteria for bosonic behavior of excitons
- Crossover between few and many fermions in a harmonic trap
- Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
- Two-component few-fermion mixtures in a one-dimensional trap: numerical versus analytical approach
- Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
- Pairing of few Fermi atoms in one dimension
- Strongly interacting trapped one-dimensional quantum gases: an exact solution
- Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
- A geometric wave function for few interacting bosons in a harmonic trap
- Many-body effects between unbosonized excitons
- Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
- Magnetic impurity in a one-dimensional few-fermion system
- Emergent interaction-driven elliptic flow of few fermionic atoms
- Signatures of unconventional pairing in spin-imbalanced one-dimensional few-fermion systems
- Static and dynamic properties of a few spin interacting fermions trapped in an harmonic potential
- 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
- Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
- Entanglement between two spatially separated ultracold interacting Fermi gases
- Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
- Coboson many-body formalism for cold atom dimers with attraction between different fermion species only
- Composite-boson approach to molecular Bose-Einstein condensates in mixtures of ultracold Fermi gases
- A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D
- BCS ansatz, Bogoliubov approach to superconductivity and Richardson-Gaudin exact wave function
- Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
- Separable approximation to two-body matrix elements
- Correlated Pair Approach to Composite Boson Scattering Lengths
- Coboson formalism for Cooper pairs used to derive Richardson's equations
- Electronic structure and absorption spectrum of biexciton obtained by using exciton basis
- Unconventional pairing in few-fermion systems at finite temperature
- Strongly bound fermion pairs on a ring: a composite-boson approach
- Pairing correlations in a trapped one-dimensional Fermi gas
- Few-body perspective on fermionic pairing in one spatial dimension
- BCS ansatz for superconductivity in the canonical ensemble and the Pauli exclusion principle
- Trapped imbalanced fermionic superfluids in one dimension: A variational approach
- Partition function of N composite bosons
- Coboson many-body formalism for atom-dimer scattering length