Interaction and filling-induced quantum phases of dual Mott insulators of bosons and fermions

Sugawa, Seiji; Taie, Shintaro; Yamazaki, Rekishu; Yamashita, Makoto; Takahashi, Yoshiro

doi:10.1038/nphys2028

Cited by 134 publications

(144 citation statements)

References 48 publications

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“…It remains experimentally challenging to reach such low temperatures [53]. However, in view of two recent advances of new cooling techniques [54,55] to reach 0.35nK, the obstacles maybe overcame in the near future. Before reaching such low temperatures, the specific heat measurement [38,39] at high temperatures to determine the whole sets of Wilson loops order by order in J/T along the dashed line in Fig.1b could be performed easily.…”

Section: Experimental Realizations Of the Rh Models In The U(1) mentioning

confidence: 99%

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

2015

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We study quantum magnetism of interacting spinor bosons at integer fillings hopping in a square lattice in the presence of of non-Abelian gauge fields. In the strong coupling limit, it leads to the Rotated ferromagnetic Heisenberg model (RFHM) which is a new class of quantum spin model. We introduce Wilson loops to characterize frustrations and gauge equivalent classes. For a special equivalent class, we identify a new spin-orbital entangled commensurate ground state. It supports not only commensurate magnons, but also a new gapped elementary excitation: in-commensurate magnons with two gap minima continuously tuned by the SOC strength. At low temperatures, these magnons lead to dramatic effects in many physical quantities such as density of states, specific heat, magnetization, uniform susceptibility, staggered susceptibility and various spin correlation functions. The commensurate magnons lead to a pinned central peak in the angle resolved light or atom Bragg spectroscopy. However, the in-commensurate magnons split it into two located at their two gap minima. At high temperatures, the transverse spin structure factors depend on the SOC strength explicitly. The whole set of Wilson loops can be mapped out by measuring the specific heat at the corresponding orders in the high temperature expansion. We argue that one gauge may be realized in current experiments and other gauges may also be realized in near future experiments. The results achieved along the exact solvable line sets up the stage to investigate dramatic effects when tuning away from it by various means. We sketch the crucial roles to be played by these magnons at other equivalent classes, with spin anisotropic interactions and in the presence of finite magnetic fields. Various experimental detections of these new phenomena are discussed. Rotated Anti-ferromagnetic Heisenberg model are also briefly mentioned.

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Section: Experimental Realizations Of the Rh Models In The U(1) mentioning

confidence: 99%

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

2015

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“…Three-dimensional (3D) two-component mixtures have been recently realized experimentally in various cold atomic systems [29][30][31][32][33][34][35][36], where the densities, but also mass ratios, and the sign and magnitude of interactions can be tuned. This versatility has fueled many analytical [37][38][39][40][41][42][43][44][45][46][47][48][49] and numerical studies on clean Bose-Fermi mixtures [45,46,[49][50][51][52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

Mixtures of ultracold atoms in one-dimensional disordered potentials

Crépin¹,

Zaránd²,

Simon³

2012

Phys. Rev. A

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We study interacting one-dimensional two-component mixtures of cold atoms in a random potential, and extend the results reported earlier [Phys. Rev. Lett. 105, 115301 (2010)]. We construct the phase diagram of a disordered Bose-Fermi mixture as a function of the strength of the Bose-Bose and Bose-Fermi interactions, and the ratio of the bosonic sound velocity and the Fermi velocity. Performing renormalization group and variational calculations, three phases are identified: (i) a fully delocalized two-component Luttinger liquid with superfluid bosons and fermions, (ii) a fully localized phase with both components pinned by disorder, and (iii) an intermediate phase where fermions are localized but bosons are superfluid. Within the variational approach, each phase corresponds to a different level of replica symmetry breaking. In the fully localized phase we find that the bosonic and fermionic localization lengths can largely differ. We also compute the long-wavelength asymptotic behavior of the momentum distribution as well as that of the structure factor of the atoms (both experimentally accessible), and discuss how the three phases can be experimentally distinguished.

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“…However, using ultracold atoms, we can now advance the study of superfluid instabilities to the next stage, namely dynamical instabilities in systems with internal degrees of freedom. It has been known that multicomponent systems exhibit rich physics such as diverse quantum phases in an optical lattice [14][15][16][17][18][19][20], and the dynamical instability of multicomponent bosons has also recently been studied [21][22][23][24]. Moreover, bosons with unfrozen spin degrees of freedom specifically exhibit complex and intriguing phenomena caused by spin mixing processes [25].…”

Section: Introductionmentioning

confidence: 99%

Dynamical instability in theS=1Bose-Hubbard model

Asaoka¹,

Tsuchiura²,

Yamashita³

et al. 2016

Phys. Rev. A

Self Cite

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We study the dynamical instabilities of superfluid flows in the S = 1 Bose-Hubbard model. The time evolution of each spin component in a condensate is calculated based on the dynamical Gutzwiller approximation for a wide range of interactions, from a weakly correlated regime to a strongly correlated regime near the Mottinsulator transition. Owing to the spin-dependent interactions, the superfluid flow of the spin-1 condensate decays at a different critical momentum from a spinless case when the interaction strength is the same. We furthermore calculate the dynamical phase diagram of this model and clarify that the obtained phase boundary has very different features depending on whether the average number of particles per site is even or odd. Finally, we analyze the density and spin modulations that appear in association with the dynamical instability. We find that spin modulations are highly sensitive to the presence of a uniform magnetic field.

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Interaction and filling-induced quantum phases of dual Mott insulators of bosons and fermions

Cited by 134 publications

References 48 publications

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields

Mixtures of ultracold atoms in one-dimensional disordered potentials

Dynamical instability in theS=1Bose-Hubbard model

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