Phase separation in a two-species Bose mixture

Mishra, Tapan; Pai, Ramesh V.; Das, B. P.

doi:10.1103/physreva.76.013604

Cited by 53 publications

(61 citation statements)

References 22 publications

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“…When U ′ = U , the interaction part is invariant under the rotation (3). Therefore, T soc can be eliminated 27 , resulting in a standard two-component Bose-Hubbard model (TBHM), which has been extensively studied in literature 34,[43][44][45] . However, when U ′ = U , the interaction part is not invariant any more under the rotation (3).…”

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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“…U ′ = U , it has been shown thatT SO can be eliminated by a sitedependent rotation in the internal space 24 . The Hamiltonian (1) reduces to the standard two-component BoseHubbard model(TBHM), whose properties have been studied extensively in literature [29][30][31][32] . In this sense, the SO coupling is trivial in the isotropic interacting case.…”

Section: Hamiltonianmentioning

confidence: 99%

Ferromagnetism in a two-component Bose-Hubbard model with synthetic spin-orbit coupling

Zhao

Hu²,

Chang

et al. 2014

Phys. Rev. A

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We study the effect of the synthetic spin-orbit coupling in a two-component Bose-Hubbard model in one dimension by employing the density-matrix renormalization group method. A ferromagnetic long-range order emerges in both Mott insulator and superfluid phases resulting from the spontaneous breaking of the Z2 symmetry, when the spin-orbit coupling term becomes comparable to the hopping kinetic energy and the intercomponent interaction is smaller than the intracomponent as well. This effect is expected to be detectable with the present realization of the synthetic spin-orbit coupling in experiments.

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“…The intra-and interspecies interactions, which describe all the interaction processes in these mixtures, can be controlled experimentally by means of Feshbach and confinement induced resonances [26][27][28]. By playing with both the intra-and interspecies interactions one can explore different physical phenomena, like phase separation on small atom mixtures [29][30][31][32][33]. Other relevant phenomena are the presence of a composite fermionized gas [34][35][36], quantum magnetism [37][38][39], or a crossover between composite fermionization and phase separation [40,41].…”

Section: Introductionmentioning

confidence: 99%

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

et al. 2014

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We study a system of two bosons of one species and a third atom of a second species in a one-dimensional parabolic trap at zero temperature. We assume contact repulsive inter-and intraspecies interactions. By means of an exact diagonalization method we calculate the ground and excited states for the whole range of interactions. We use discrete group theory to classify the eigenstates according to the symmetry of the interaction potential. We also propose and validate analytical Ansätze gaining physical insight over the numerically obtained wave functions. We show that, for both approaches, it is crucial to take into account that the distinguishability of the third atom implies the absence of any restriction over the wave function when interchanging this boson with any of the other two. We find that there are degeneracies in the spectra in some limiting regimes, that is, when the interspecies and/or the intraspecies interactions tend to infinity. This is in contrast with the three-identical boson system, where no degeneracy occurs in these limits. We show that, when tuning both types of interactions through a protocol that keeps them equal while they are increased towards infinity, the systems's ground state resembles that of three indistinguishable bosons. Contrarily, the systems's ground state is different from that of three-identical bosons when both types of interactions are increased towards infinity through protocols that do not restrict them to be equal. We study the coherence and correlations of the system as the interactions are tuned through different protocols, which permit us to build up different correlations in the system and lead to different spatial distributions of the three atoms.

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Phase separation in a two-species Bose mixture

Cited by 53 publications

References 22 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

Ferromagnetism in a two-component Bose-Hubbard model with synthetic spin-orbit coupling

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

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