Quantum spin models with long-range interactions and tunnelings: A quantum Monte Carlo study
arXiv:1206.1752 · doi:10.1088/1367-2630/14/11/113006
Abstract
We use a quantum Monte Carlo method to investigate various classes of 2D spin models with long-range interactions at low temperatures. In particular, we study a dipolar XXZ model with U(1) symmetry that appears as a hard-core boson limit of an extended Hubbard model describing polarized dipolar atoms or molecules in an optical lattice. Tunneling, in such a model, is short-range, whereas density-density couplings decay with distance following a cubic power law. We investigate also an XXZ model with long-range couplings of all three spin components - such a model describes a system of ultracold ions in a lattice of microtraps. We describe an approximate phase diagram for such systems at zero and at finite temperature, and compare their properties. In particular, we compare the extent of crystalline, super?uid, and supersolid phases. Our predictions apply directly to current experiments with mesoscopic numbers of polar molecules and trapped ions.
16 pages, 8 figures
References in corpus (9)
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Supersolid hardcore bosons on the triangular lattice
- Hidden order in 1D Bose insulators
- Supersolids versus phase separation in two-dimensional lattice bosons
- Metastable states of a gas of dipolar bosons in a 2D optical lattice
- Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model
- Anomalous Behavior of Spin Systems with Dipolar Interactions
- Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
- 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
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- Finding the ground states of symmetric infinite-dimensional Hamiltonians: explicit constrained optimizations of tensor networks