Bottom-up configuration-interaction emulations of ultracold fermions in entangled optical plaquettes: building blocks of unconventional superconductivity

Abstract

A microscopic configuration-interaction (CI) methodology is introduced to enable bottom-up Schroedinger-equation emulation of unconventional superconductivity in ultracold optical traps. We illustrate the method by exploring the properties of Lithium-6 atoms in a single square plaquette in the hole-pairing regime, and by analyzing the entanglement (symmetry-preserving) and disentanglement physics (via symmetry-breaking, associated with the separation of charge and spin density waves) of two coupled plaquettes in the same regime. The single-occupancy RVB states contribute only partially to the exact many-body solutions, and the CI results map onto a Hubbard Hamiltonian, but not onto the double-occupancy-excluding t-J one. For the double-plaquette case, effects brought about by breaking the symmetry between two weakly-interacting plaquettes, either by distorting, or by tilting and detuning, one of the plaquettes with respect to the other, as well as spectral changes caused by increased coupling between the two plaquettes, are explored.

14 pages with 9 color figures. Physical Review A (2017, in press)

References in corpus (17)

• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• Non-standard Hubbard models in optical lattices: a review
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Mott Transitions and d-wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
• d-wave resonating valence bond states of fermionic atoms in optical lattices
• Minimum instances of topological matter in an optical plaquette
• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Two trapped particles interacting by a finite-ranged two-body potential in two spatial dimensions
• Rapidly rotating boson molecules with long or short range repulsion: an exact diagonalization study
• Ultracold few fermionic atoms in needle-shaped double wells: spin chains and resonating spin clusters from microscopic Hamiltonians emulated via antiferromagnetic Heisenberg and t-J models
• Artificial quantum-dot Helium molecules: Electronic spectra, spin structures, and Heisenberg clusters
• Two holes in a two-dimensional quantum antiferromagnet: A variational study based on entangled-plaquette states

Cited by in corpus (3)

• Ab Initio Exact Diagonalization Simulation of the Nagaoka Transition in Quantum Dots
• Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
• Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps