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We study a bosonic version of the Kondo lattice model with an on-site repulsion in the conduction band, implemented with alkali atoms in two bands of an optical lattice. Using both weak and strong-coupling perturbation theory, we find that…

Quantum Gases · Physics 2012-07-24 Michael Foss-Feig , Ana Maria Rey

We propose that ultracold alkaline-earth-like atoms confined in one-dimensional optical lattice can realize a Kondo lattice model which hosts a symmetry-protected topological (SPT) phase and an associated quantum phase transition in a…

Quantum Gases · Physics 2017-10-25 Masaya Nakagawa , Norio Kawakami

Based on density matrix renormalization group method, we investigate the spin-orbit coupled Fermi gas with attractive interactions in one-dimensional optical lattice and present a complete phase diagram for a quarter-filling system with…

Strongly Correlated Electrons · Physics 2015-11-06 Haiping Hu , Chen Cheng , Yucheng Wang , Hong-Gang Luo , Shu Chen

We investigate the phase diagram of spinless fermions with nearest and next-nearest neighbour density-density interactions on the honeycomb lattice at half-filling. Using Exact Diagonalization techniques of the full Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-08-28 Sylvain Capponi , Andreas M. Läuchli

We propose a new correlated topological state which we call a higher-order topological Mott insulator (HOTMI). This state exhibits a striking bulk-boundary correspondence due to electron correlations. Namely, the topological properties in…

Strongly Correlated Electrons · Physics 2019-11-13 Koji Kudo , Tsuneya Yoshida , Yasuhiro Hatsugai

The Mott insulating phase of a one-dimensional bosonic gas trapped in optical lattices is described by a Bose-Hubbard model. A continuous unitary transformation is used to map this model onto an effective model conserving the number of…

Statistical Mechanics · Physics 2009-11-11 A. Reischl , K. P. Schmidt , G. S. Uhrig

Topological pumping of ultracold atomic gases has recently been demonstrated in two experiments (Nat. Phys. 12, 296; 12, 350 (2016)). Here we study the topological pumping of a single magnon in a dynamically controlled spin-dependent…

Quantum Gases · Physics 2019-01-18 Feng Mei , Gang Chen , Liantuan Xiao , Suotang Jia

We study the polaritonic bandstructure of two-dimensional atomic lattices coupled to a single excitation of a surface plasmon polariton mode. We show the possibility of realizing topological gaps with different Chern numbers by having…

Optics · Physics 2021-03-31 Rituraj , Meir Orenstein , Shanhui Fan

The ground-state phase diagram of mixtures of spin polarized fermions and bosons in a 1D periodic lattice is discussed in the limit of large fermion hopping and half filling of the fermions. Numerical simulations performed with the density…

Other Condensed Matter · Physics 2013-05-29 Alexander Mering , Michael Fleischhauer

Recently, a quantum anomalous Hall state at odd integer filling in moir\'e stacked MoTe$_2$/WSe$_2$ was convincingly interpreted as a topological Mott insulator state appearing due to strong interactions in {\it band} basis [P. Mai, J.…

Strongly Correlated Electrons · Physics 2023-12-14 Krystian Jabłonowski , Jan Skolimowski , Wojciech Brzezicki , Krzysztof Byczuk , Marcin M. Wysokiński

A one-dimensional discrete lattice of dimers is known to possess topologically protected edge states when interdimer coupling is stronger than intradimer coupling. Here, we address richer topological properties of photonic superlattices…

Optics · Physics 2018-10-24 Bikashkali Midya , Liang Feng

We present a detailed analysis of the dynamical response of ultra-cold bosonic atoms in a one-dimensional optical lattice subjected to a periodic modulation of the lattice depth. Following the experimental realization by Stoferle et al…

Other Condensed Matter · Physics 2009-11-11 S. R. Clark , D. Jaksch

We address how the nature of linearly dispersing edge states of two dimensional (2D) topological insulators evolves with increasing electron-electron correlation engendered by a Hubbard like on-site repulsion $U$ in finite ribbons of two…

Strongly Correlated Electrons · Physics 2012-06-26 Amal Medhi , Vijay B. Shenoy , H. R. Krishnamurthy

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations. In addition to the usual contact repulsive interactions between the particles, the Hamiltonian has an…

Quantum Gases · Physics 2012-05-22 L. de Forges de Parny , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We investigate topological supersolidity of dipolar Fermi gases in a spin-dependent 2D optical lattice. Numerical results show that the topological supersolid states can be synthesized via the combination of topological superfluid states…

Quantum Gases · Physics 2020-04-02 Huan-Yu Wang , Zhen Zheng , Lin Zhuang , Wu-Ming Liu

We present microscopic wave functions of spin singlet Mott insulating states and nematic Mott insulating states. We also investigate quantum phase transitions between the spin singlet Mott phase and the nematic Mott phase in both large-N…

Condensed Matter · Physics 2009-11-10 Michiel Snoek , Fei Zhou

The interplay of electronic correlations, spin-orbit coupling and topology holds promise for the realization of exotic states of quantum matter. Models of strongly interacting electrons on honeycomb lattices have revealed rich phase…

In condensed-matter physics, electronic Mott insulators have triggered considerable research due to their intricate relation with high-temperature superconductors. However, unlike atomic systems for which Mott phases were recently shown for…

Quantum Gases · Physics 2022-03-09 Camille Lagoin , Stephan Suffit , Kirk Baldwin , Loren Pfeiffer , Francois Dubin

We study the ground-state phase diagram of spinless and spin-1 bosons in optical superlattices using a Bose-Hubbard Hamiltonian that includes spin-dependent interactions. We decouple the unit cells of the superlattice via a mean-field…

Quantum Gases · Physics 2012-11-20 Andreas Wagner , Andreas Nunnenkamp , Christoph Bruder

We study spin and charge dynamics of stripes in doped Mott insulators by considering a two-dimensional Hubbard model with N fermion flavors. For N =2 we recover the normal one-band model while for N -> infty a spin density wave mean-field…

Strongly Correlated Electrons · Physics 2009-11-07 F. F. Assaad , V. Rousseau , F. Hebert , M. Feldbacher , G. G. Batrouni