Trapping and cooling fermionic atoms into the Mott and Néel states

Abstract

We perform a theoretical study of a fermionic gas with two hyperfine states confined to an optical lattice. We derive a generic state diagram as a function of interaction strength, particle number, and confining potential. We discuss the central density, the double occupancy and their derivatives as probes for the Mott state, connecting our findings to the recent experiment of Jördens et al. Using entropic arguments we compare two different strategies to reach the antiferromagnetic state in the presence of a trapping potential.

4 pages, 4 figures. Published version

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• Achieving the Neel state in an optical lattice
• Ramping fermions in optical lattices across a Feshbach resonance

Cited by in corpus (38)

• Continuous-time Monte Carlo methods for quantum impurity models
• Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
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• Quantitative Determination of Temperature in the Approach to Magnetic Order of Ultracold Fermions in an Optical Lattice
• Non-Markovianity, Loschmidt echo and criticality: a unified picture
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Microscopic derivation of Hubbard parameters for cold atomic gases
• Thermodynamics of strongly interacting fermions in two-dimensional optical lattices
• Compressibility of a fermionic Mott insulator of ultracold atoms
• Néel temperature and thermodynamics of the half-filled 3D Hubbard model by Diagrammatic Determinant Monte Carlo
• State diagrams for harmonically trapped bosons in optical lattices
• Néel transition of lattice fermions in a harmonic trap: a real-space DMFT study
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• High temperature thermodynamics of fermionic alkaline earth atoms in optical lattices
• Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems
• Mott transitions in ternary flavor mixtures of ultracold fermions on optical lattices
• Ferromagnetism of cold fermions loaded into a decorated square lattice
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
• Critical Entropy of Quantum Heisenberg Magnets on Simple-Cubic Lattices
• Probing quasi-particle states in strongly interacting atomic gases by momentum-resolved Raman photoemission spectroscopy
• Mott transition of fermionic mixtures with mass imbalance in optical lattices
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model
• Canted Antiferromagnetic Order of Imbalanced Fermi-Fermi mixtures in Optical Lattices by Dynamical Mean-Field Theory
• Maximizing the Neel temperature of fermions in a simple-cubic optical lattice
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices
• Magnetic structure of an imbalanced Fermi gas in an optical lattice
• Thermometry and signatures of strong correlations from Raman spectroscopy of fermionic atoms in optical lattices
• Thinking locally: reflections on Dynamical Mean-Field Theory from a high-temperature/high energy perspective
• Coherent pumping of a Mott insulator: Fermi golden rule versus Rabi oscillations
• Dynamical arrest of ultracold lattice fermions
• Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential
• All-optical pump-and-probe detection of dynamical correlations in a two-dimensional Fermi gas
• Loading and detecting a three-dimensional Fermi gas in one-dimensional optical superlattice
• Overlaying optical lattices for simulation of complex frustrated antiferromagnets
• Dissipative cooling of spin chains by a bath of dipolar particles
• Double occupancies in confined attractive fermions on optical lattices