Achieving the Neel state in an optical lattice

Abstract

We theoretically study the possibility of reaching the antiferromagnetic phase of the Hubbard model by starting from a normal gas of trapped fermionic atoms and adiabatically ramping up an optical lattice. Requirements on the initial temperature and the number of atoms are determined for a three dimensional square lattice by evaluating the Neel state entropy, taking into account fluctuations around the mean-field solution. We find that these fluctuations place important limitations on adiabatically reaching the Neel state.

4 pages, 2 figures, RevTeX. Revised version incorporates minor corrections. Journal reference added

References in corpus (4)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Degenerate Fermi gas in a combined harmonic-lattice potential

Cited by in corpus (35)

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• Quench Dynamics of Isolated Many-Body Quantum Systems
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• Temperature changes when adiabatically ramping up an optical lattice
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• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
• Initializing an unmodulated spin chain to operate as a high quality quantum data-bus
• Critical Entropy of Quantum Heisenberg Magnets on Simple-Cubic Lattices
• Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices
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• 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
• Ballistic quantum state transfer in spin chains: general theory for quasi-free models and arbitrary initial states
• Optimal Quench for Distance-Independent Entanglement and Maximal Block Entropy
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• Magnetic structure of an imbalanced Fermi gas in an optical lattice
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• Adiabatic spin cooling using high-spin Fermi gases
• The imbalanced antiferromagnet in an optical lattice
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