Simulating high-temperature superconductivity model Hamiltonians with atoms in optical lattices

Abstract

We investigate the feasibility of simulating different model Hamiltonians used in high-temperature superconductivity. We briefly discuss the most common models and then focus on the simulation of the so-called t-J-U Hamiltonian using ultra-cold atoms in optical lattices. For this purpose, previous simulation schemes to realize the spin interaction term J are extended. We especially overcome the condition of a filling factor of exactly one, which otherwise would restrict the phase of the simulated system to a Mott-insulator. Using ultra-cold atoms in optical lattices allows simulation of the discussed models for a very wide range of parameters. The time needed to simulate the Hamiltonian is estimated and the accuracy of the simulation process is numerically investigated for small systems.

9 pages, 4 figures; title, abstract and introduction changed, more examples included; accepted for publication in Phys. Rev. A

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• Hubbard model calculations of phase separation in optical lattices
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Variational study of polarons and bipolarons in a 1D Bose lattice gas in both superfluid and Mott regimes
• Simulations of the Dipole-Dipole Interaction between Two Spatially Separated Groups of Rydberg Atoms
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Environment-induced decay dynamics of anti-ferromagnetic order in Mott-Hubbard systems
• How Alfven's theorem explains the Meissner effect