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Spatially uniform optical excitations can induce Floquet topological band structures within insulators which can develop similar or equal characteristics as are known from three-dimensional topological insulators. We derive in this article…

Strongly Correlated Electrons · Physics 2020-08-04 Andreas Lubatsch , Regine Frank

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…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Rui-Xing Zhang , Zhi-Cheng Yang

Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting…

Quantum Physics · Physics 2025-09-17 Suyang Lin , Ming Gong , Congjun Wu

We study the low-frequency dynamics of periodically driven one-dimensional systems hosting Floquet topological phases. We show, both analytically and numerically, in the low-frequency limit $\Omega\to0$, the topological invariants of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-20 M. Rodriguez-Vega , B. Seradjeh

We demonstrate the occurrence of a topological phase transition induced by an effective magnetic field in a two-dimensional electron gas with spin-orbit coupling and in proximity to an $s$-wave superconductor. The effective, perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-10-17 Paul Wenk , Milena Grifoni , John Schliemann

This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the…

Mathematical Physics · Physics 2021-01-19 Guillaume Bal , Daniel Massatt

The two dimensional square lattice antiferromagnet with spin-orbit coupling and nonsymmorphic symmetry is recently found to be topological insulator (TI). We theoretically studied the Floquet states of the antiferromagnetic crystal with…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Ma Luo

The field of topological photonics studies unique and robust photonic systems that are immune to defects and disorders due to the protection of their underlying topological phases. Mostly implemented in static systems, the studied…

Optics · Physics 2023-04-20 Jicheng Jin , Li He , Jian Lu , Lin Chang , Chen Shang , John E. Bowers , Eugene J. Mele , Bo Zhen

We present a topological characterization of time-periodically driven two-band models in 2+1 dimensions as Hopf insulators. The intrinsic periodicity of the Floquet system with respect to both time and the underlying two-dimensional…

Quantum Gases · Physics 2019-11-13 F. Nur Ünal , André Eckardt , Robert-Jan Slager

The manipulation of the helical edge states of two-dimensional topological insulators is crucial for the development of technological applications. Recently, an important step forward, namely, the experimental realization of a quantum point…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 C. Fleckenstein , N. Traverso Ziani , L. Privitera , M. Sassetti , B. Trauzettel

Optical control and manipulation of cold atoms has become an important topic in condensed matter. Widely employed are optical lattice shaking experiments which allow the introduction of artificial gauge fields, the design of topological…

We show that interacting bosons in a periodically-driven two dimensional (2D) optical lattice may effectively exhibit fermionic statistics. The phenomenon is similar to the celebrated Tonks-Girardeau regime in 1D. The Floquet band of a…

Quantum Gases · Physics 2015-11-09 Tigran A. Sedrakyan , Victor M. Galitski , Alex Kamenev

Topological Floquet energy pumps -- which use periodic driving to create a topologically protected quantized energy current -- have been proposed and studied theoretically, but have never been observed directly. Previous work proposed that…

A primer on the Floquet theory of periodically time-dependent quantum systems is provided, and it is shown how to apply this framework for computing the quasienergy band structure governing the dynamics of ultracold atoms in driven optical…

Quantum Physics · Physics 2015-11-30 Martin Holthaus

In this study, a tight-binding model on square octagon lattice with nearest-neighbour and next-nearest-neighbour hoppings is considered. The system is topologically trivial although it exhibits quadratic band-touching points in its…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Arghya Sil , Asim Kumar Ghosh

Tunability of an artificial quantum system is crucial to its capability to process quantum information. However, tunability usually poses significant demand on the design and fabrication of a device. In this work, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2023-04-25 Yuan Zhou , Sisi Gu , Ke Wang , Gang Cao , Xuedong Hu , Ming Gong , Hai-Ou Li , Guo-Ping Guo

We propose and analyse an efficient scheme for simulating higher-order topological phases of matter in two dimensional (2D) spin-phononic crystal networks. We show that, through a specially designed periodic driving, one can selectively…

Quantum Physics · Physics 2021-01-20 Xiao-Xiao Li , Peng-Bo Li

Non-equilibrium phases of matter have attracted much attention in recent years, among which the Floquet phase is a hot point. In this work, based on the Periodic driving Non-Hermitian model, we reveal that the winding number calculated in…

Quantum Physics · Physics 2022-09-07 Gang-Feng Guo , Yan Wang , Xi-Xi Bao , Lei Tan

The radiation-pressure interaction between one or more laser fields and a mechanical oscillator gives rise to a wide range of phenomena: from sideband cooling and backaction-evading measurements to pondermotive and mechanical squeezing to…

We study the dynamics and stability in a strongly interacting resonantly driven two-band model. Using exact numerical simulations, we find a stable regime at large driving frequencies where the time evolution is governed by a local Floquet…

Quantum Gases · Physics 2016-04-20 Marin Bukov , Markus Heyl , David A. Huse , Anatoli Polkovnikov
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