Measurement of the Dynamical Structure Factor of a 1D Interacting Fermi Gas

Abstract

We present measurements of the dynamical structure factor $S(q,\omega )$ of an interacting one-dimensional (1D) Fermi gas for small excitation energies. We use the two lowest hyperfine levels of the ${}^6$Li atom to form a pseudo-spin-1/2 system whose s-wave interactions are tunable via a Feshbach resonance. The atoms are confined to 1D by a two-dimensional optical lattice. Bragg spectroscopy is used to measure a response of the gas to density ("charge") mode excitations at a momentum $q$ and frequency $\omega$. The spectrum is obtained by varying $\omega$, while the angle between two laser beams determines $q$, which is fixed to be less than the Fermi momentum $k_{\text{F}}$. The measurements agree well with Tomonaga-Luttinger theory.

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• A one-dimensional liquid of fermions with tunable spin
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Spin-charge separation and localization in one-dimension
• Observation of pseudogap behavior in a strongly interacting Fermi gas
• Dynamical density-density correlations in the one-dimensional Bose gas
• Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
• Goldstone mode and pair-breaking excitations in atomic Fermi superfluids
• Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases
• Compressibility of a fermionic Mott insulator of ultracold atoms
• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• Dynamic spin response of a strongly interacting Fermi gas
• A two-dimensional Fermi liquid with attractive interactions
• Enlarging and cooling the Néel state in an optical lattice
• Scaling of temporal correlations in an attractive Tomonaga-Luttinger spin liquid

Cited by in corpus (32)

• Dipolar physics: A review of experiments with magnetic quantum gases
• Probing the roton excitation spectrum of a stable dipolar Bose gas
• Exploration of doped quantum magnets with ultracold atoms
• Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
• Spin-charge separation in a 1D Fermi gas with tunable interactions
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Collisional loss of one-dimensional fermions near a $p$-wave Feshbach resonance
• Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
• Three-body repulsive forces among identical bosons in one dimension
• Emergence and disruption of spin-charge separation in one-dimensional repulsive fermions
• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Emergent mode and bound states in single-component one-dimensional lattice fermionic systems
• Thermal disruption of a Luttinger liquid
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Measuring post-quench entanglement entropy through density correlations
• In Situ Thermometry of Fermionic Cold-Atom Quantum Wires
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• A Stable, Recursive Auxiliary Field Quantum Monte Carlo Algorithm in the Canonical Ensemble: Applications to Thermometry and the Hubbard Model
• Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
• Tunneling into a finite Luttinger liquid coupled to noisy capacitive leads
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• A Luttinger Liquid coupled to Ohmic-class environments
• Spin incoherent liquid and interaction-driven criticality in 1D Hubbard model
• Quantum wires with local particle loss: Transport manifestations of fluctuation-induced effects
• Fractionalization Waves in Two-dimensional Dirac Fermions: Quantum Imprint from One Dimension
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Semiconductor nanodevices as a probe of strong electron correlations
• Tuning Dissipation and Excitations in Superfluid Fermi Gases with a Moving Impurity
• Thermodynamics of inhomogenous imperfect quantum gases in harmonic traps
• Achieving one-dimensionality with attractive fermions
• One-dimensional extended Hubbard model with soft-core potential