6533b7d8fe1ef96bd126a5d8
RESEARCH PRODUCT
Strong-coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: Odd-integer Mott lobes and helical magnetic phases
Jedediah PixleyJedediah PixleyMatteo RizziWilliam S. ColeIan B. SpielmanS. Das Sarmasubject
Condensed Matter::Quantum GasesPhysicsPhase transitionStrongly Correlated Electrons (cond-mat.str-el)Condensed matter physicsFOS: Physical sciencesOrder (ring theory)02 engineering and technology021001 nanoscience & nanotechnologyCoupling (probability)01 natural sciencesLandau theoryCondensed Matter - Strongly Correlated ElectronsParamagnetismQuantum Gases (cond-mat.quant-gas)0103 physical sciencesSpin modelCondensed Matter::Strongly Correlated ElectronsCondensed Matter - Quantum Gases010306 general physics0210 nano-technologySpin (physics)Critical exponentdescription
We study the odd integer filled Mott phases of a spin-1 Bose-Hubbard chain and determine their fate in the presence of a Raman induced spin-orbit coupling which has been achieved in ultracold atomic gases; this system is described by a quantum spin-1 chain with a spiral magnetic field. The spiral magnetic field initially induces helical order with either ferromagnetic or dimer order parameters, giving rise to a spiral paramagnet at large field. The spiral ferromagnet-to-paramagnet phase transition is in a novel universality class, with critical exponents associated with the divergence of the correlation length $\nu \approx 2/3$ and the order parameter susceptibility $\gamma \approx 1/2$. We solve the effective spin model exactly using the density matrix renormalization group, and compare with both a large-$S$ classical solution and a phenomenological Landau theory. We discuss how these exotic bosonic magnetic phases can be produced and probed in ultracold atomic experiments in optical lattices.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-18 | Physical Review A |