2014
DOI: 10.1103/physrevb.90.085117
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Evolution of magnetic structure driven by synthetic spin-orbit coupling in a two-component Bose-Hubbard model

Abstract: 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 pe… Show more

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Cited by 23 publications
(26 citation statements)
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“…We have four degenerate states for the two neighboring sites, i.e., |I f ,0 f >|0f+1, lf+1 >, |1 -,0 f)|lf+1,0f+ l), and Sf = (bjbj -aja,)/2. With the use of the second-order perturbation theory, the effective Hamiltonian that describes the tunnel and SO couplings is written as [26,27] where X = 2J2/Uab and A -eb -ea. The last terms in Eq.…”
Section: + Y «?(»"-(2)mentioning
confidence: 99%
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“…We have four degenerate states for the two neighboring sites, i.e., |I f ,0 f >|0f+1, lf+1 >, |1 -,0 f)|lf+1,0f+ l), and Sf = (bjbj -aja,)/2. With the use of the second-order perturbation theory, the effective Hamiltonian that describes the tunnel and SO couplings is written as [26,27] where X = 2J2/Uab and A -eb -ea. The last terms in Eq.…”
Section: + Y «?(»"-(2)mentioning
confidence: 99%
“…Indeed, dipolar interactions in ultracold atom ic gases can give rise to spectacular quantum phenom ena [18] such as spin texture [19] and the Einstein-de Haas effect [20], In addition, a chrom ium gas in an optical lattice [21,22] has recently been realized. Since a chrom ium atom has a relatively large m agnetic dipole m om ent [23], the intersite interactions becom e strong enough [22] to allow experim ental study of quantum m agnetism [24], In this paper, w e consider SO -coupled bosonic atom s in a ID optical lattice, w here the atom s at the different sites couple to each other via m agnetic dipolar interactions [22], In the M ott-insulating regim e, this system can be described by the quantum X Y Z spin m odel w ith D zyaloshinskii-M oriya [25][26][27], w here a tw o-com ponent boson at each site can be viewed as a sp in -1 /2 particle [28]. Indeed, a spin chain is equivalent to a ID spinless ferm ion model upon the perform ance o f the Jordan-W igner transform ation [29], This enables us to study topological phenom ena, such as M ajorana ferm ions, w ith a quantum spin chain [29,30].…”
Section: Introductionmentioning
confidence: 99%
“…However, when U ′ ≠ U , the DM interaction cannot be simply eliminated 25 and several phases have been predicted. For U ′ > U , there are a gapped FM phase, a gapped AF phase, and in between a TLL phase with a chiral order [26][27][28] (without ambiguity, we will call it TLL phase below). The transition from the FM (AF) phase to the TLL phase is of first order 27,29 .…”
Section: Introductionmentioning
confidence: 99%
“…Recently, a synthetic spin-orbit coupling (SOC), or equivalently, gauge field, was successfully realized in experiments and a variety of phases as well as phase transitions were observed [15][16][17][18] . These experiments have spurred great interest in studying the artificial SOC as well as gauge field in ultracold systems [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34] . In the deep insulating region, such an SOC can be approximated 21,26 by the Dzyaloshinskii-Moriya (DM) interaction 35,36 .…”
Section: Introductionmentioning
confidence: 99%
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