Magnetic phases of two-component ultracold bosons in an optical lattice

Hubener, Andreas; Snoek, Michiel; Hofstetter, Walter

doi:10.1103/physrevb.80.245109

Cited by 113 publications

(166 citation statements)

References 28 publications

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“…from the strong coupling deep MI regime all the way to the SF at weak coupling, we apply BDMFT [24][25][26][27], which is non-perturbative and can capture the local quantum fluctuations exactly. For exploring various possible exotic magnetic or superfluid phases which break the translational symmetry of the lattice, here we specifically employ real-space BDMFT (R-BDMFT) [29], which generalizes BDMFT to a positiondependent self-energy and captures inhomogeneous quantum phases.…”

Section: Model and Methodsmentioning

confidence: 99%

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Bose-Bose mixtures with synthetic spin-orbit coupling in optical lattices

Hofstetter

2015

Phys. Rev. A

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We investigate the ground state properties of Bose-Bose mixtures with Rashba-type spin-orbit (SO) coupling in a square lattice. The system displays rich physics from the deep Mott-insulator (MI) all the way to the superfluid (SF) regime. In the deep MI regime, novel spin-ordered phases arise due to the effective Dzyaloshinskii-Moriya type super-exchange interactions. By employing the non-perturbative Bosonic Dynamical Mean-Field-Theory (BDMFT), we numerically study and establish the stability of these magnetic phases against increasing hopping amplitude. We show that as hopping is increased across the MI to SF transition, exotic superfluid phases with magnetic textures emerge. In particular, we identify a new spin-spiral magnetic texture with spatial period 3 in the superfluid close to the MI-SF transition.

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Section: Model and Methodsmentioning

confidence: 99%

“…In this work, we investigate these fundamental issues within the non-perturbative theoretical framework of Bosonic Dynamical Mean Field Theory (BDMFT) [24][25][26][27]. We find that the exotic spin-textures are robust throughout the whole Mott regime, see Fig.…”

Section: Introductionmentioning

confidence: 99%

Bose-Bose mixtures with synthetic spin-orbit coupling in optical lattices

Hofstetter

2015

Phys. Rev. A

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“…To this end, we consider the limit Z ≫ 1 in the following and employ an expansion into powers of 1/Z as small control parameter. Note that an expansion in powers of 1/Z was also used to derive bosonic dynamical mean-field equations (which were then solved numerically) in [64,78,79].…”

Section: Bose-hubbard Modelmentioning

confidence: 99%

“…We develop and employ an analytic approximation technique which is controlled by an expansion into powers of the inverse coordination number 1/Z (see also [64]). Note that the 1/Z-expansion employed here is somewhat similar to time-dependent dynamical mean field theory (t-DMFT), but the 1/ √ Z scaling of the hopping term in the Hamiltonian (used in t-DMFT) is replaced by a 1/Z scaling in our approach -which allows us to derive analytic expressions for the time-dependent correlation functions after the quench.…”

Section: Introductionmentioning

confidence: 99%

Equilibration and prethermalization in the Bose-Hubbard and Fermi-Hubbard models

et al. 2014

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“…So far exact diagonalization [140,141] and continuous-time QMC [142] were employed. Thereby the bosonic Hubbard model was solved on the Bethe lattice for finite [140] and infinite [141] coordination number Z as well as on a simplecubic lattice [142]. The phase diagram of correlated bosons on a simple-cubic lattice computed by the bosonic DMFT was found to agree with that obtained by numerically exact QMC to within 2% [142].…”

Section: Dmft For Correlated Bosons In Optical Latticesmentioning

confidence: 99%

Dynamical Mean-Field Theory

Vollhardt

Byczuk

Kollar

2011

Springer Series in Solid-State Sciences

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Abstract. The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular, the combination of the DMFT with conventional methods for the calculation of electronic band structures has led to a powerful numerical approach which allows one to explore the properties of correlated materials. In this introductory article we discuss the foundations of the DMFT, derive the underlying self-consistency equations, and present several applications which have provided important insights into the properties of correlated matter. Motivation Electronic CorrelationsAlready in 1937, at the outset of modern solid state physics, de Boer and Verwey [1] drew attention to the surprising properties of materials with incompletely filled 3d-bands. This observation prompted Mott and Peierls [2] to discuss the interaction between the electrons. Ever since transition metal oxides (TMOs) were investigated intensively [3]. It is now well-known that in many materials with partially filled electron shells, such as the 3d transition metals V and Ni and their oxides, or 4f rare-earth metals such as Ce, electrons occupy narrow orbitals. The spatial confinement enhances the effect of the Coulomb interaction between the electrons, making them "strongly correlated". Correlation effects can lead to profound quantitative and qualitative changes of the physical properties of electronic systems as compared to non-interacting particles. In particular, they often respond very strongly to changes in external parameters. This is expressed by large renormalizations of the response functions of the system, e.g., of the spin susceptibility and the charge compressibility. In particular, the interplay between the spin, charge and orbital degrees of freedom of the correlated d and f electrons and with the lattice degrees of freedom leads to an amazing multitude of ordering phenomena and other fascinating properties, including high temperature superconductivity, colossal magnetoresistance and Mott metal-insulator transitions [3].arXiv:1109.4833v1 [cond-mat.str-el]

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Magnetic phases of two-component ultracold bosons in an optical lattice

Cited by 113 publications

References 28 publications

Bose-Bose mixtures with synthetic spin-orbit coupling in optical lattices

Bose-Bose mixtures with synthetic spin-orbit coupling in optical lattices

Equilibration and prethermalization in the Bose-Hubbard and Fermi-Hubbard models

Dynamical Mean-Field Theory

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