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The strongly correlated bosons in flat band systems are an excellent platform to study a wide range of quantum phenomena. Such systems can be realized in optical lattices filled with ultracold atomic gases. In this paper we study the…

Quantum Gases · Physics 2023-01-26 Barbara Grygiel , Konrad Patucha

We numerically examine slow and hierarchical relaxation dynamics of interacting bosons described by a tilted two-band Bose-Hubbard model. The system is found to exhibit signatures of quantum chaos within the spectrum and the validity of the…

Quantum Gases · Physics 2018-04-19 Jayson G. Cosme

Topological edge states typically arise at the boundaries of topologically nontrivial structures or at interfaces between regions with differing topological invariants. When topological systems are extended into the nonlinear regime, linear…

Strongly interacting bosons in 2D in a rotating square lattice are investigated via a modified Bose-Hubbard Hamiltonian. Such a system corresponds to a rotating lattice potential imprinted on a trapped Bose-Einstein condensate. Second-order…

Other Condensed Matter · Physics 2009-11-11 Rajiv Bhat , L. D. Carr , M. J. Holland

There is a growing interest in using cold-atom systems to explore the effects of strong interactions in topological band structures. Here we investigate interacting bosons in a Cruetz ladder, which is characterised by topological flat…

Quantum Gases · Physics 2020-10-23 Stuart Flannigan , Andrew J. Daley

The superfluid-insulator transition in systems of lattice bosons is usually analyzed in the framework of the Bose-Hubbard model, and has been extensively studied by theory and simulations. Less attention has been paid to the remnants of the…

Quantum Gases · Physics 2026-05-27 Gabriele Costa , Matteo Ciardi , Fabio Cinti , Santi Prestipino

Enriching condensed-matter systems with quantum optical phenomena currently drives intense research efforts, particularly to introduce collective quantum correlations. Here we access this paradigm, by confining dipolar excitons in a…

Quantum Gases · Physics 2025-10-16 Camille Lagoin , Corentin Morin , Kirk Baldwin , Loren Pfeiffer , Francois Dubin

We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences…

Quantum Gases · Physics 2022-09-14 Ethan Lake , Michael Hermele , T. Senthil

We study interacting bosons in a two dimensional bipartite optical lattice. By focusing on the regime where the first three excited bands are nearly degenerate we derive a three orbital tight-binding model which captures the most relevant…

Quantum Gases · Physics 2012-08-20 Jani-Petri Martikainen , Jonas Larson

Despite extensive studies on the one-dimensional Su-Schrieffer-Heeger-Hubbard (SSHH) model, the variant incorporating next-nearest neighbour hopping remains largely unexplored. Here, we investigate the ground-state properties of this…

Strongly Correlated Electrons · Physics 2024-06-21 Pei-Jie Chang , Jinghui Pi , Muxi Zheng , Yu-Ting Lei , Dong Ruan , Gui-Lu Long

We propose and analyze a physical system that naturally admits two-dimensional topological nearly flat bands. Our approach utilizes an array of three-level dipoles (effective S = 1 spins) driven by inhomogeneous electromagnetic fields. The…

Strongly Correlated Electrons · Physics 2013-11-28 Norman Y. Yao , Chris R. Laumann , Alexey V. Gorshkov , Steven D. Bennett , Eugene Demler , Peter Zoller , Mikhail D. Lukin

Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases -- in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas of…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Anantha Hegde , Adarsh Kumar , Adhip Agarwala , Bhaskaran Muralidharan

The search for topological insulators has been actively promoted in the field of condensed matter physics for further development in energy-efficient information transmission and processing. In this context, recent studies have revealed…

We study the topological properties of hardcore bosons on a two-leg ladder consisting of two Su-Schrieffer-Heeger (SSH) chains that are coupled via hopping and interaction. We chart out the phase diagram for the system and show that based…

Quantum Gases · Physics 2023-06-16 Ashirbad Padhan , Suman Mondal , Smitha Vishveshwara , Tapan Mishra

We analyze topological properties of the one-dimensional Bose-Hubbard model with a quasiperiodic superlattice potential. This system can be realized in interacting ultracold bosons in optical lattice in the presence of an incommensurate…

Quantum Gases · Physics 2014-07-31 Fuyuki Matsuda , Masaki Tezuka , Norio Kawakami

Su-Schrieffer-Heeger (SSH) model on two-dimensional square lattice exhibits a topological phase transition, which is related to the Zak phase determined by bulk band topology. The strong modulation of electron hopping causes nontrivial…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Daichi Obana , Feng Liu , Katsunori Wakabayashi

Symmetry-protected topological phases of matter, characterized by non-trivial band topology, are spectrally gapped and show non-trivial boundary phenomena. Here, we show that scattering states when interjected by an array of periodically…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Rahul Singh , Ritajit Kundu , Arijit Kundu , Adhip Agarwala

Implementation of topology on photonics has opened new functionalities of photonic systems such as topologically protected boundary modes. We present polarization-dependent topological properties in 2D Su-Schrieffer-Heeger lattice by using…

Optics · Physics 2019-09-04 Minkyung Kim , Junsuk Rho

Doublon-holon dynamics is investigated in a pumped one-dimensional Hubbard model with a staggered on?site Coulomb interaction at half-filling. When the system parameters are set to be in the Mott insulating regime the equilibrium sublattice…

Strongly Correlated Electrons · Physics 2024-05-09 Zhenyu Cheng , Ying Li , Hantao Lu , Xiang Hu , Zhongbing Huang , Gregory A. Fiete , Liang Du

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

Quantum Physics · Physics 2022-09-21 Ciaran McDonnell , Beatriz Olmos
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