Superfluid–Mott-insulator transition in the spin-orbit-coupled Bose-Hubbard model

Bolukbasi, Ahmet Tuna; Iskin, M.

doi:10.1103/physreva.89.043603

Cited by 13 publications

(15 citation statements)

References 53 publications

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“…It includes ferromagnetic (FM), antiferromagnetic (AF), spiral, vortex and Skyrmion phases. More recently, unconventional superfluid (SF) phases have been found 32,33 in the BoseHubbard model with various types of SOC in two dimensions. These results are in contrast to the relatively simple Mott insulator (MI) and SF phases for the twocomponent Bose-Hubbard model 34 without the SOC.…”

Section: Introductionmentioning

confidence: 99%

Evolution of magnetic structure driven by synthetic spin-orbit coupling in a two-component Bose-Hubbard model

Zhao

Chang

et al. 2014

Phys. Rev. B

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We study the evolution of magnetic structure driven by a synthetic spin-orbit coupling in a one-dimensional two-component Bose-Hubbard model. In addition to the Mott insulator-superfluid transition, we found in Mott insulator phases a transition from a gapped ferromagnetic phase to a gapless chiral phase by increasing the strength of spin-orbit coupling. Further increasing the spin-orbit coupling drives a transition from the gapless chiral phase to a gapped antiferromagnetic phase. These magnetic structures persist in superfluid phases. In particular, in the chiral Mott insulator and chiral superfluid phases, incommensurability is observed in characteristic correlation functions. These unconventional Mott insulator phase and superfluid phase demonstrate the novel effects arising from the competition between the kinetic energy and the spin-orbit coupling.

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Section: Introductionmentioning

confidence: 99%

Evolution of magnetic structure driven by synthetic spin-orbit coupling in a two-component Bose-Hubbard model

Zhao

Chang

et al. 2014

Phys. Rev. B

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“…Losses are acceptable when Γ 3 |U 3 | and thus |a| a 3 √ 3C 0 32π 2ā = 0.64ā (13) for C 0 = 25. Since typically > 10ā, a scattering length on the order ofā is required.…”

Section: B Three-body Recombinationmentioning

confidence: 99%

Hubbard model for ultracold bosonic atoms interacting via zero-point-energy–induced three-body interactions

2016

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We show that for ultra-cold neutral bosonic atoms held in a three-dimensional periodic potential or optical lattice, a Hubbard model with dominant, attractive three-body interactions can be generated. In fact, we derive that the effect of pair-wise interactions can be made small or zero starting from the realization that collisions occur at the zero-point energy of an optical lattice site and the strength of the interactions is energy dependent from effective-range contributions. We determine the strength of the two-and three-body interactions for scattering from van-der-Waals potentials and near Fano-Feshbach resonances. For van-der-Waals potentials, which for example describe scattering of alkaline-earth atoms, we find that the pair-wise interaction can only be turned off for species with a small negative scattering length, leaving the 88 Sr isotope a possible candidate. Interestingly, for collisional magnetic Feshbach resonances this restriction does not apply and there often exist magnetic fields where the two-body interaction is small. We illustrate this result for several known narrow resonances between alkali-metal atoms as well as chromium atoms. Finally, we compare the size of the three-body interaction with hopping rates and describe limits due to three-body recombination.In 1998 Jaksch et al. [1] suggested that laser-cooled atomic samples can be held in optical lattices, periodic potentials created by counter-propagating laser beams. These three-dimensional lattices have spatial periods between 400 nm and 800 nm and depths V 0 as high as V 0 /h ∼ 1 MHz, where h is Planck's constant. An ensemble of atoms then realize either the fermionic or bosonic Hubbard model, where atoms hop from site to site and interact only when on the same site. The interaction driven quantum phase transition of this model was first realized by Ref. [2].Today, optical lattices are seen as a natural choice in which to simulate other many-body Hamiltonians. These include Hamiltonians with complex band structure such as double-well lattices [3-6], two-dimensional hexagonal lattices [6][7][8][9], as well as those with spin-momentum couplings possibly leading to topological matter [10,11]. Quantum phase transitions in these Hamiltonians enable ground-state wavefunctions with unusual order parameters, such as pair superfluids and striped phases [12][13][14]. Phase transitions in Hamiltonians with long-range dipole-dipole interactions using atoms or molecules with large magnetic or electric dipole moments can also be studied. Finally, atoms in optical lattices can be used to measure gravitational acceleration (little-g) [15][16][17], shed light on non-linear measurements [18][19][20][21], and be used for quantum information processing.Over the last ten years ultra-cold atom experiments have also investigated few-body phenomena. In particular, three-body interactions have been studied through Efimov physics of strongly interacting atoms observed as resonances in three-body recombination, where three colliding atoms create a dimer and a...

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“…Combined with the controllability of interactions and geometries of ultracold bosons, the manipulation ofspin-orbit coupling (SOC) gives rise to a lot of novel quantum states, especially the MI-SF phase transition and the magnetic orders in the deep MI and superfluid regimes [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49]. For example, one can derive an effective super-exchange spin model with the Dzyaloshinskii-Moriya type (DM-type) interactions [50,51] in the deep MI regime via the second-order perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

“…Some exotic spin textures are found by applying the classical Monte-Carlo (MC) simulations, the bosonic dynamical mean field theory (BDMFT) and the spin-wave theory [25-27, 39-42, 52]. The spiral superfluid phase in the vicinity of the MI-SF phase transition is discussed in [44,45].…”

Section: Introductionmentioning

confidence: 99%

Variational study of phase diagrams of spin–orbit coupled bosons

2016

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We use a variational order method to explore the ground state phase diagrams of spin-orbit coupled Bose atoms in optical lattices. By properly parameterizing the order with an ansatz function for each possible phase and comparing their energies which are minimized with respect to the variational parameters, we can effectively identify the lowest energy states and depict the phase diagram. While the Mott-insulator-superfluid phase boundary is computed by the usual Gutzwiller method, the spinordered phase structures of the deep Mott regime as well as the superfluid regime are studied by the variational order method. For the isotropic spin-orbit coupling, the phase diagram in the deep Mott insulator regime is qualitatively similar to results derived by the classical Monte-Carlo simulations or other numerical methods. The spiral phases with different spatial periods are discussed in detail. We find three new spin-ordered phases in the deep Mott insulator regime with anisotropic spin-orbit coupling. We also identify the uniform superfluid, stripe and checkerboard supersolid phases with exotic spin orders in the superfluid regime. ( | | ) ] ( )ˆˆˆÊ J J J J J J

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Superfluid–Mott-insulator transition in the spin-orbit-coupled Bose-Hubbard model

Cited by 13 publications

References 53 publications

Evolution of magnetic structure driven by synthetic spin-orbit coupling in a two-component Bose-Hubbard model

Evolution of magnetic structure driven by synthetic spin-orbit coupling in a two-component Bose-Hubbard model

Hubbard model for ultracold bosonic atoms interacting via zero-point-energy–induced three-body interactions

Variational study of phase diagrams of spin–orbit coupled bosons

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