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We construct a systematic high-frequency expansion for periodically driven quantum systems based on the Brillouin-Wigner (BW) perturbation theory, which generates an effective Hamiltonian on the projected zero-photon subspace in the Floquet…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Takahiro Mikami , Sota Kitamura , Kenji Yasuda , Naoto Tsuji , Takashi Oka , Hideo Aoki

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

A recent theoretical work [Nature Phys., 7, 490 (2011)] has demonstrated that external non-equilibrium perturbations may be used to convert a two-dimensional semiconductor, initially in a topologically trivial state, into a Floquet…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 Netanel H. Lindner , Doron L. Bergman , Gil Refael , Victor Galitski

The topological orders in amorphous systems that lack crystalline symmetry have gained considerable attention recently. Here we propose the Floquet amorphous topological matter, among which the topological orders are explored in…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Peng He , Jing-Xin Liu , Hong Wu , Z. D. Wang

We propose a class of photonic Floquet topological insulators based on staggered helical lattices and an efficient numerical method for calculating their Floquet bandstructure. The lattices support anomalous Floquet topological insulator…

Optics · Physics 2016-07-06 Daniel Leykam , M. C. Rechtsman , Y. D. Chong

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…

Quantum Physics · Physics 2023-08-30 Christopher I. Timms

Topological materials rely on engineering global properties of their bulk energy bands called topological invariants. These invariants, usually defined over the entire Brillouin zone, are related to the existence of protected edge states.…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 P. St-Jean , A. Dauphin , P. Massignan , B. Real , O. Jamadi , M. Milićević , A. Lemaître , A. Harouri , L. Le Gratiet , I. Sagnes , S. Ravets , J. Bloch , A. Amo

The unique electronic properties of the surface electrons in a topological insulator are protected by time-reversal symmetry. Circularly polarized light naturally breaks time-reversal symmetry, which may lead to an exotic surface quantum…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Y. H. Wang , H. Steinberg , P. Jarillo-Herrero , N. Gedik

We investigate Floquet-driven topological phase transitions in an AB-stacked bilayer Haldane lattice with tunable intralayer hopping anisotropy. By combining interlayer hybridization, Haldane flux, and off-resonant circularly polarized…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Imtiaz Khan , Muzamil Shah , Reza Asgari , Gao Xianlong

We consider a generic class of gene circuits affected by nonlinear extrinsic noise. To address this nonlinearity we introduce a general perturbative methodology based on assuming timescale separation between noise and genes dynamics, with…

Molecular Networks · Quantitative Biology 2023-05-10 Gerardo Aquino , Andrea Rocco

The interplay of strain engineering and photon-assisted tunneling of electrons in graphene is considered for giving rise to atypical transport phenomena. The combination of uniaxial strain and a time-periodic potential barrier helps to…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Yonatan Betancur-Ocampo , Parisa Majari , Diego Espitia , Francois Leyvraz , Thomas Stegmann

Eigenmode coalescence imparts remarkable properties to non-hermitian time evolution, culminating in a purely non-hermitian spectral degeneracy known as an exceptional point (EP). Here, we revisit time evolution at the EP and classify…

Quantum Physics · Physics 2021-11-10 Aleksi Bossart , Romain Fleury

Circularly polarised light opens a gap in the Dirac spectrum of graphene and topological insulator (TI) surfaces, thereby inducing a quantum Hall-like phase. We propose to detect the accompanying edge states and their current by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Jan P. Dahlhaus , Benjamin M. Fregoso , Joel E. Moore

We propose optical longitudinal conductivity as a realistic observable to detect light-induced Floquet band gaps in graphene. These gaps manifest as resonant features in the conductivity, when resolved with respect to the probing frequency…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Lukas Broers , Ludwig Mathey

Driven quantum materials often feature emergent topology, otherwise absent in static crystals. Dynamic bulk-boundary correspondence, encoded by nondissipative gapless modes residing near the Floquet zone center and/or boundaries, is its…

Mesoscale and Nanoscale Physics · Physics 2025-01-15 Daniel J. Salib , Bitan Roy

Periodic driving of a quantum system can significantly alter its energy bands and even change the band topology, opening a completely new avenue for engineering novel quantum matter. Although important progress has been made recently in…

We study finite-frequency quantum noise and photon-assisted electron transport through a wide and ballistic graphene sheet sandwiched between two metallic leads. The elementary excitations allow as to examine the differences between effects…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jan Hammer , Wolfgang Belzig

We review methods for using time-periodic fields (e.g., laser or microwave fields) to induce non-equilibrium topological phenomena in quantum many-body systems. We discuss how such fields can be used to change the topological properties of…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Mark S. Rudner , Netanel H. Lindner

The periodically driven O(N) model is studied near the critical line separating a disordered paramagnetic phase from a period doubled phase, the latter being an example of a Floquet time crystal. The time evolution of one-point and…

Statistical Mechanics · Physics 2021-01-20 Muath Natsheh , Andrea Gambassi , Aditi Mitra

Recent advances in optics and time-resolved techniques have facilitated the exploration of new states of matter under nonequilibrium conditions. Here, we predict that irradiated graphene can host two novel nonequilibrium steady states of…

Mesoscale and Nanoscale Physics · Physics 2025-12-02 Youngjae Kim , Kwon Park