Thermometry of Fermionic Atoms in an Optical Lattice

Abstract

Low temperatures are necessary for the observation of strongly correlated quantum phases of fermionic atoms in optical lattices. We analyze how the temperature of a Fermi gas is altered when the fermions are loaded into an optical lattice with an underlying harmonic confining potential and show how the temperature can be measured. The temperature of the atoms in the optical lattice determines the fraction of doubly occupied lattice sites of a two-component Fermi gas. We analytically calculate this quantity and find a strong temperature dependence. This fraction can be measured by studying the production of molecules in the lattice using a Feshbach resonance which allows for precise thermometry of atoms in an optical lattice.

4 pages

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Cited by in corpus (33)

• Many-Body Physics with Ultracold Gases
• A Mott insulator of fermionic atoms in an optical lattice
• Fermi-Hubbard physics with atoms in an optical lattice
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
• Species-specific optical lattices
• Cooling in strongly correlated optical lattices: prospects and challenges
• Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Interaction-controlled transport of an ultracold Fermi gas
• Cooling and thermometry of atomic Fermi gases
• Thermometry with spin-dependent lattices
• Interaction-Induced Adiabatic Cooling for Antiferromagnetism in Optical Lattices
• Trapping and cooling fermionic atoms into the Mott and Néel states
• Lattice Thermodynamics for Ultra-Cold Atoms
• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
• Ground state cooling of atoms in optical lattices
• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• Probing transport and slow relaxation in the mass-imbalanced Fermi-Hubbard model
• Degenerate Fermi gas in a combined harmonic-lattice potential
• Bose-Einstein condensation in an optical lattice
• Strongly Interacting Atoms and Molecules in a 3D Optical Lattice
• Finite-size scaling behavior in trapped systems
• Thermometry and signatures of strong correlations from Raman spectroscopy of fermionic atoms in optical lattices
• Studies of bosons in optical lattices in a harmonic potential
• Orbital ordering of ultracold alkaline-earth atoms in optical lattices
• Thermodynamics of quantum degenerate gases in optical lattices
• Thermometry of ultracold fermions by (super)lattice modulation spectroscopy
• Adiabatic cooling of a tunable Bose-Fermi mixture in an optical lattice
• Efficiently measuring $d$-wave pairing and beyond in quantum gas microscopes
• Single barium ion spectroscopy: light shifts, hyperfine structure, and progress on an optical frequency standard and atomic parity violation
• Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice