Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model
arXiv:2501.16707 · doi:10.1103/slxg-7dnm
Abstract
We investigate the higher repulsive branches of one-dimensional (1D) bosonic and fermionic quantum gases beyond the super-Tonks-Girardeau regime, utilizing the Bethe-Ansatz method and exact diagonalization of small trapped clusters. In contrast to the well-studied lowest branches that are characterized by spin-charge separation, we demonstrate the emergence of strong spin-charge correlation in all higher branches with hard-core interactions. This manifests in distinct quasi-momentum distributions and energy spectra for bosons and spin-1/2 fermions, despite their fermionization. Furthermore, trapped fermions in higher branches exhibit novel spin textures, intricately linked to charge excitations, necessitating a coupled multi-chain description beyond single effective spin-chain models. Our findings unveil a rich interplay between spin and charge degrees of freedom in highly excited 1D systems, opening avenues for exploring novel quantum phenomena beyond the conventional paradigm of low-lying states.
11 pages, 4 figures
References in corpus (47)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- The Mott insulator transition in two dimensions
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
- Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
- Fermionization of two distinguishable fermions
- Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
- Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
- Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
- Strongly interacting confined quantum systems in one dimension
- Tan relations in one dimension
- Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
- Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms
- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
- Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
- Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap
- Evidence for the super Tonks-Girardeau gas
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Creating quantum many-body scars through topological pumping of a 1D dipolar gas
- Strongly Interacting Quantum Gases in One-Dimensional Traps
- Observation of Cooper Pairs in a Mesoscopic 2D Fermi Gas
- Spin-charge separation in a 1D Fermi gas with tunable interactions
- Realization of a Strongly Interacting Fermi Gas of Dipolar Atoms
- Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
- Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
- Magnetism in strongly interacting one-dimensional quantum mixtures
- Ferromagnetic spin correlations in a few-fermion system
- Super-Tonks-Girardeau gas of spin-1/2 interacting fermions
- Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
- Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
- Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
- SU(N) Fermions in a One-Dimensional Harmonic Trap
- Bose-Fermi Mapping and Multi-Branch Spin Chain Model for Strongly Interacting Quantum Gases in One-Dimension: Dynamics and Collective Excitations
- Strongly interacting Bose-Fermi mixtures in one dimension
- Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
- Itinerant ferromagnetism in 1D two-component Fermi gases
- New anatomy of quantum holonomy
- Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
- Spin-Orbit Coupled One-Dimensional Fermi Gases with Infinite Repulsion
- Exact ordering of energy levels for one-dimensional interacting Fermi gases with symmetry
- Tuning an effective spin chain of three strongly interacting one-dimensional fermions with the transversal confinement
- Ultrastable super-Tonks-Girardeau gases under weak dipolar interactions
- Local manipulation of quantum magnetism in 1D ultracold Fermi gases across narrow resonances