High temperature thermodynamics of fermionic alkaline earth atoms in optical lattices

Abstract

We calculate experimentally relevant properties of trapped fermionic alkaline earth atoms in an optical lattice, modeled by the SU(N) Hubbard model. Our calculation is accurate when the temperature is much larger than the tunneling rate, similar to current regimes in ultracold atom experiments. In addition to exploring the Mott insulator-metal crossover, we calculate final temperatures achieved by the standard experimental protocol of adiabatically ramping from a non-interacting gas, as a function of initial gas temperature and final state lattice parameters. Of particular experimental interest, we find that increasing $N$ gives substantially \textit{colder} Mott insulators, up to more than a factor of five for relevant parameters. This cooling happens for all $N$, fixing the initial entropy, or for all $N \lsim 20$ (the exact value depends on dimensionality), fixing the initial temperature.

4+ pages main text, 2 figures. 3 pages supplementary information, 2 figures. v2: added citation

References in corpus (24)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Sr lattice clock at 1x10^{-16} fractional uncertainty by remote optical evaluation with a Ca clock
• Fermi-Hubbard physics with atoms in an optical lattice
• Ultracold fermions and the SU(N) Hubbard model
• Realization of SU(2)*SU(6) Fermi System
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Quantum computing with alkaline earth atoms
• Colloquium: Physics of optical lattice clocks
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Alkaline-Earth-Metal Atoms as Few-Qubit Quantum Registers
• Bose-Einstein condensation of alkaline earth atoms: ${}^{40}${Ca}
• All-Optical Formation of Quantum Degenerate Mixtures
• Interaction and filling induced quantum phases of dual Mott insulators of bosons and fermions
• Bose-Einstein Condensation of an Ytterbium Isotope
• Double-degenerate Bose-Fermi mixture of strontium
• Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Quantum Computing and Quantum Simulation with Group-II Atoms
• One-Dimensional Optical Lattice Clock with a Fermionic 171Yb Isotope
• A Mott Insulator of Ultracold Alkaline-Earth-Like Atoms
• Trapping and cooling fermionic atoms into the Mott and Néel states
• Prospects for application of ultracold Sr${}_2$ molecules in precision measurements
• Entanglement of group-II-like atoms with fast measurement for quantum information processing

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• An ytterbium quantum gas microscope with narrow-line laser cooling
• Interaction and filling induced quantum phases of dual Mott insulators of bosons and fermions
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Quantum Computing and Quantum Simulation with Group-II Atoms
• Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
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• Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets
• Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
• Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
• Competing states in the SU(3) Heisenberg model on the honeycomb lattice: Plaquette valence-bond crystal versus dimerized color-ordered state
• Pomeranchuk cooling of the SU($2N$) ultra-cold fermions in optical lattices
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Synthetic gauge fields stabilize a chiral spin liquid phase
• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• Magnetic ordering of three-component ultracold fermionic mixtures in optical lattices
• Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Coqblin-Schrieffer Model for an Ultra-cold Gas of Ytterbium atoms with Metastable States
• Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Mott transitions in the half-filled SU(2M) symmetric Hubbard model
• Mott made easy
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• Filling-driven Mott transition in SU(N) Hubbard models
• Crafting the dynamical structure of synchronization by harnessing bosonic multilevel cavity QED
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• Competing Charge and Magnetic Order in Fermionic Multi-Component Systems
• Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice
• Mott insulators of ultracold fermionic alkaline earth atoms in three dimensions
• Spin liquid phases of alkaline-earth-metal atoms at finite temperature
• Competing valence bond and symmetry breaking Mott states of spin-3/2 fermions on a honeycomb lattice
• State selective cooling of $\mathrm{SU}(N)$ Fermi-gases
• Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime
• Cyclotron Dynamics of a Kondo Singlet in a Spin-Orbit-Coupled Alkaline-Earth Atomic Gas
• Enhancing quantum order with fermions by increasing species degeneracy