Multicomponent Strongly Interacting Few-Fermion Systems in One Dimension

Abstract

The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached analytically. To illustrate this analytical approach we consider a simple system of three distinguishable particles, which can be addressed experimentally. For this system we show that for infinite repulsion the energy spectrum is sixfold degenerate. We also show that this degeneracy is partially lifted for finitely large repulsion for which we find and describe corresponding wave functions.

Paper in connection with the 22nd European Conference on Few-Body Problems in Physics, Krakow, Poland, 9-13 September 2013

References in corpus (3)

• Deterministic Preparation of a Tunable Few-Fermion System
• Fermionization of two distinguishable fermions
• Few interacting fermions in one-dimensional harmonic trap

Cited by in corpus (25)

• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• 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
• Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
• Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Exploring the few- to many-body crossover using cold atoms in one dimension
• One-dimensional multicomponent Fermi gas in a trap: quantum Monte Carlo study
• Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations
• Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
• 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
• Impenetrable SU(N) fermions in one-dimensional lattices
• Intercomponent correlations in attractive one-dimensional mass-imbalanced few-body mixtures
• Correlation properties of a three-body bosonic mixture in a harmonic trap
• Comparing models for the ground state energy of a trapped one-dimensional Fermi gas with a single impurity
• Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension
• Slightly imbalanced system of a few attractive fermions in a one-dimensional harmonic trap
• 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
• All-order momentum correlations of three ultracold bosonic atoms confined in triple-well traps: Signatures of emergent many-body quantum phase transitions and analogies with three-photon quantum-optics interference
• A Solvable Model for Decoupling of Interacting Clusters
• Effective theory for strongly attractive one-dimensional fermions