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Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the \nu=1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific…

A general expression for the orbital magnetization of a Floquet system is derived. The expression holds for a clean system, and is valid for any driving protocol, and arbitrary occupation of the bands. The orbital magnetization is shown to…

介观与纳米尺度物理 · 物理学 2022-05-24 Gabriel E. Topp , Päivi Törmä , Dante M. Kennes , Aditi Mitra

The properties of the Hofstadter butterfly, a fractal, self similar spectrum of a two dimensional electron gas, are studied in the case where the system is additionally illuminated with monochromatic light. This is accomplished by applying…

介观与纳米尺度物理 · 物理学 2019-10-23 Martin Wackerl , Paul Wenk , John Schliemann

We study the dynamics and timescales of a periodically driven Fermi-Hubbard model in a three-dimensional hexagonal lattice. The evolution of the Floquet many-body state is analyzed by comparing it to an equivalent implementation in undriven…

We propose a scheme to implement Kitaev's honeycomb model with cold atoms, based on a periodic (Floquet) drive, in view of realizing and probing non-Abelian chiral spin liquids using quantum simulators. We derive the effective Hamiltonian…

量子气体 · 物理学 2023-06-29 Bo-Ye Sun , Nathan Goldman , Monika Aidelsburger , Marin Bukov

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

量子气体 · 物理学 2022-03-07 Constantine Shkedrov , Meny Menashes , Gal Ness , Anastasiya Vainbaum , Ehud Altman , Yoav Sagi

We theoretically propose how to observe topological effects in a generic classical system of coupled harmonic oscillators, such as classical pendula or lumped-element electric circuits, whose oscillation frequency is modulated fast in time.…

介观与纳米尺度物理 · 物理学 2016-02-04 Grazia Salerno , Tomoki Ozawa , Hannah M. Price , Iacopo Carusotto

Entanglement is one of the most fundamental features of quantum systems. In this work, we obtain the entanglement spectrum and entropy of Floquet noninteracting fermionic lattice models and build their connections with Floquet topological…

量子物理 · 物理学 2022-12-07 Longwen Zhou

This study presents a mechanism that enables the stabilization of Floquet systems indefintely; albeit in a manner that allows for noise during each Floquet cycle. This is due to the fact that external qubits are added after each Floquet…

量子物理 · 物理学 2023-08-30 Christopher I. Timms

We extend the notion of fragile topology to periodically-driven systems. We demonstrate driving-induced fragile topology in two different models, namely, the Floquet honeycomb model and the Floquet $\pi$-flux square-lattice model. In both…

介观与纳米尺度物理 · 物理学 2021-03-31 Rui-Xing Zhang , Zhi-Cheng Yang

Achieving topologically-protected robust transport in optical systems has recently been of great interest. Most topological photonic structures can be understood by solving the eigenvalue problem of Maxwell's equations for a static linear…

光学 · 物理学 2019-09-18 Li He , Zachariah Addison , Jicheng Jin , Eugene J. Mele , Steven G. Johnson , Bo Zhen

A connection has recently been proposed between periodically driven systems known as Floquet insulators in continuous time and static fermion theories in discrete time. This connection has been established in a $(1+1)$-dimensional free…

量子物理 · 物理学 2025-04-09 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

Within the Floquet theory of periodically driven quantum systems, we developed the theory of light-induced modification of electronic states in semiconductor materials described by the Luttinger Hamiltonian (the electronic term $\Gamma_8$).…

介观与纳米尺度物理 · 物理学 2020-07-03 O. V. Kibis , M. V. Boev , V. M. Kovalev , I. A. Shelykh

The discovery of Fractional Chern Insulators (FCIs) in twisted bilayer MoTe$_2$ has sparked significant interest in fractional topological matter without external magnetic fields. Unlike the flat dispersion of Landau levels, moir\'e…

强关联电子 · 物理学 2024-10-30 Tianhong Lu , Luiz H. Santos

Spin scalar chiral ordering gives rise to nontrivial topological characters and peculiar transport properties. We here examine how quantum spin fluctuations affect the spin scalar chiral ordering in itinerant electron systems. We take the…

强关联电子 · 物理学 2015-06-17 Yutaka Akagi , Masafumi Udagawa , Yukitoshi Motome

We describe the behavior of a system of fermionic atoms loaded in a bipartite one-dimensional optical lattice that is under the action of an external time-periodic driving force. By using Floquet theory, an effective model with renormalized…

量子气体 · 物理学 2014-09-05 M. Di Liberto , D. Malpetti , G. I. Japaridze , C. Morais Smith

We study the interplay of magnetic order and superconductivity in the square-lattice Hubbard model under periodic driving with circularly polarized light. Formulating diagrammatic techniques based on the random-phase approximation in terms…

强关联电子 · 物理学 2026-02-24 Jan-Niklas Herre , Takuya Okugawa , Ammon Fischer , Christoph Karrasch , Dante M. Kennes

This work provides a convenient and powerful means towards the engineering of Floquet bands via Bloch oscillations, by adding a tilted linear potential to periodically driven lattice systems. The added linear field not only restricts the…

量子物理 · 物理学 2023-01-04 Xi Liu , Senmao Tan , Qing-hai Wang , Longwen Zhou , Jiangbin Gong

We study, within the fluctuation exchange approximation, the spin-fluctuation-mediated superconductivity in Hubbard-type models possessing electron and hole bands, and compare them with a model on a square lattice with a large Fermi…

超导电性 · 物理学 2017-06-28 Masahiro Nakata , Daisuke Ogura , Hidetomo Usui , Kazuhiko Kuroki

Electromagnetic driving in a honeycomb lattice can induce gaps and topological edge states with a structure of increasing complexity as the frequency of the driving lowers. While the high frequency case is the most simple to analyze we…

介观与纳米尺度物理 · 物理学 2016-02-22 Pablo M. Perez-Piskunow , Luis E. F. Foa Torres , Gonzalo Usaj