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Exotic quantum spin models in spin-orbit-coupled Mott insulators.

J Radić1, A Di Ciolo, K Sun

  • 1Joint Quantum Institute and Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.

Physical Review Letters
|September 26, 2012
PubMed
Summary

Researchers explored cold atoms in optical lattices with synthetic spin-orbit coupling. They derived a spin Hamiltonian revealing rich magnetic phases, including collinear, spiral, and vortex states, crucial for quantum simulations.

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Area of Science:

  • Quantum simulation
  • Condensed matter physics
  • Atomic physics

Background:

  • Investigating strongly correlated quantum systems is key to understanding emergent phenomena.
  • Optical lattices provide a tunable platform for simulating complex Hamiltonians.
  • Synthetic spin-orbit coupling in cold atoms offers novel routes to exotic magnetic states.

Purpose of the Study:

  • To derive and analyze the low-energy spin Hamiltonian for cold atoms in an optical lattice with synthetic spin-orbit coupling.
  • To explore the rich classical phase diagram of the derived spin Hamiltonian.
  • To discuss experimental feasibility for realizing and detecting magnetic ordering.

Main Methods:

  • Calculation of tight-binding model parameters using Peierls substitution.
  • Localization of Wannier states to derive the low-energy spin Hamiltonian.
  • Analysis of the classical phase diagram, including collinear, spiral, and vortex phases.

Main Results:

  • Derived a spin Hamiltonian encompassing Heisenberg, quantum compass, and Dzyaloshinskii-Moriya interactions.
  • Identified a rich classical phase diagram featuring collinear, spiral, and vortex magnetic orders.
  • Established the theoretical framework for studying magnetic ordering in strongly correlated optical lattices.

Conclusions:

  • The derived spin Hamiltonian accurately describes the low-energy physics of cold atoms with synthetic spin-orbit coupling.
  • The rich phase diagram highlights the potential for novel quantum magnetism in these systems.
  • Experimental realization and detection of these magnetic orderings are discussed as a state-of-the-art prospect.