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Related papers: One-dimensional time-Floquet photonic crystal

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In spatiotemporally modulated systems, topological states exist not only in energy gaps but also in momentum gaps. Such unconventional topological states impose challenges on topological physics. The underlying models also make the…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Weiwei Zhu , Jian-Hua Jiang

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

Quasinormal modes characterise the transient response of static optical cavities. Here, we introduce the notion of a Floquet quasinormal mode to describe transient responses in photonic time crystals. Contrasting their static counterparts,…

Optics · Physics 2025-10-15 Calvin M. Hooper , Ian R. Hooper , Simon A. R. Horsley

We consider tunneling of quasiparticles through a rectangular quantum well, subject to periodic driving. The quasiparticles are the itinerant charges in two-dimensional and three-dimensional semimetals having a quadratic band-touching (QBT)…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Sandip Bera , Ipsita Mandal

The public and scientists constantly have different perspectives. While on a time crystal, they stand in line and ask: What is a time crystal? Show me a material that is spontaneously crystalline in time? This study synthesizes a photonic…

Quantum Physics · Physics 2022-07-15 Bing Wang , Jiaqi Quan , Jianfei Han , Xiaopeng Shen , Hongwei Wu , Yiming Pan

Periodically driven systems, characterised by their inherent non-equilibrium dynamics, are ubiquitously found in both classical and quantum regimes. In the field of photonics, these Floquet systems have begun to provide insight into how…

The Floquet spectrum in an anisotropic tilted Dirac semimetal modulated by linearly polarized light is addressed through the solution of the time-dependent Schr\"odinger equation for the two-dimensional Dirac Hamiltonian via the Floquet…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 J. C. Sandoval-Santana , V. G. Ibarra-Sierra , A. Kunold , Gerardo G. Naumis

We introduce topological phases in Photonic Time-Crystals. Photonic Time-Crystals are materials in which the refractive index varies periodically and abruptly in time. When the refractive index changes abruptly, the light propagating in the…

Optics · Physics 2018-12-14 Eran Lustig , Yonatan Sharabi , Mordechai Segev

The dynamic engineering of band structures for ultracold atoms in optical lattices represents an innovative approach to understand and explore the fundamental principles of topological matter. In particular, the folded Floquet spectrum…

The temporal modulation of material parameters enables optical amplification within linear media. Here we consider the fundamental building block of plasmonics, a subwavelength metal nanoparticle, and study how temporal modulation alters…

Mesoscale and Nanoscale Physics · Physics 2025-08-29 Miguel Verde , Paloma A. Huidobro

Floquet topological insulators are topological phases of matter generated by the application of time-periodic perturbations on otherwise conventional insulators. We demonstrate that spatial variations in the time-periodic potential lead to…

Strongly Correlated Electrons · Physics 2013-04-02 Yaniv Tenenbaum Katan , Daniel Podolsky

We develop a Floquet scattering formalism for the description of quasistationary states of microwave photons in a one-dimensional waveguide interacting with a nonlinear cavity by means of a periodically modulated coupling. This model is…

Quantum Physics · Physics 2017-05-16 Mikhail Pletyukhov , Kim G. L. Pedersen , Vladimir Gritsev

We analyze the dynamics of a superconducting qubit and the phenomenon of multiorder Rabi oscillations in the presence of a time-modulated external field. Such a field is also presented as a bichromatic field consisting of two spectral…

Quantum Physics · Physics 2013-10-04 Gor A. Abovyan , Gagik Yu. Kryuchkyan

We study the exceptional point (EP) phenomena in a photonic medium with a complex time-periodic permiitivity, i.e., $\epsilon(t)=\epsilon_o+\epsilon_r*sin(\Omega t+\phi)$. We formulate the Maxwell's equations in a form of first-order…

Optics · Physics 2018-08-29 Neng Wang , Zhao-Qing Zhang , C. T. Chan

The photonic band structures in certain two- and three-dimensional periodic networks made of one-dimensional waveguides are studied by using the Floquet-Bloch theorem. We find that photonic band gaps exist only in those structures where the…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. K. Cheung , T. L. Chan , Z. Q. Zhang , C. T. Chan

We show that the time-dependence of electromagnetic field in a parametrically modulated cavity can be effectively analyzed using a $Floquet$ $map$. The map relates the field states separated by one period of the drive; iterative application…

Quantum Physics · Physics 2019-04-17 Ivar Martin

Periodically driven (Floquet) crystals are described by their quasi-energy spectrum. Their topological properties are characterized by invariants attached to the gaps of this spectrum. In this article, we define such invariants in all space…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Michel Fruchart

We introduce a space-time Floquet operator, a generalization of the conventional Floquet operator, that captures the long-time behavior of space-time crystals - systems where spatial and temporal periodicities are intrinsically intertwined.…

Other Condensed Matter · Physics 2025-10-21 Abhijeet Melkani , Jayson Paulose

Exploiting non-Hermitian wave-matter interactions in time-modulated media to enable the dynamic control of electromagnetic waves requires advanced theoretical tools. In this article we bridge concepts from photonic quasinormal modes (QNMs)…

Optics · Physics 2025-07-04 Benjamin Vial , Richard V. Craster

We experimentally realized a time-periodically modulated 1D lattice for ultracold atoms featuring a pair of linear bands, each associated with a Floquet winding number: a topological invariant. These bands are spin-momentum locked and…

Quantum Gases · Physics 2022-08-31 Mingwu Lu , G. H. Reid , A. R. Fritsch , A. M. Piñeiro , I. B. Spielman
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