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Two-dimensional periodically-driven topological insulators have been shown to exhibit numerous topological phases, including ones which have no static analog, such as anomalous Floquet topological phases. We study a two dimensional model of…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Balaganchi A. Bhargava , Sanjib Kumar Das , Ion Cosma Fulga

We investigate the topological properties of a resonantly shaken one-dimensional optical lattice system, where the lattice position is periodically driven with two harmonic frequencies to generate one- and two-photon couplings between the…

Quantum Gases · Physics 2020-12-23 Jin Hyoun Kang , Yong-il Shin

Floquet topological photonic insulators characterized by periodically-varying Hamiltonians are known to exhibit much richer topological behaviors than static systems. In a Floquet insulator, the phase evolution of the Floquet-Bloch modes…

Optics · Physics 2024-06-19 Shirin Afzal , Vien Van

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

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

Statistical Mechanics · Physics 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

We propose a method to parametrically excite low frequency collective modes in an interacting many body system using a Floquet driving at optical frequencies with a modulated amplitude. We demonstrate that it can be used to design plasmonic…

Strongly Correlated Electrons · Physics 2025-04-18 Egor I. Kiselev , Mark S. Rudner , Netanel H. Lindner

Floquet symmetry protected topological (FSPT) phases are non-equilibrium topological phases enabled by time-periodic driving. FSPT phases of 1d chains of bosons, spins, or qubits host dynamically protected edge states that can store quantum…

Strongly Correlated Electrons · Physics 2018-06-13 Ajesh Kumar , Philipp T. Dumitrescu , Andrew C. Potter

Periodically driven systems play a prominent role in optical lattices. In these ultracold atomic systems, driving is used to create a variety of interesting behaviours, of which an important example is provided by topological states of…

Quantum Gases · Physics 2017-11-27 A. Quelle , C. Weitenberg , K. Sengstock , C. Morais Smith

We propose a practically feasible time-periodic sinusoidal drive protocol in onsite mass term to generate the two-dimensional~(2D) Floquet second-order topological superconductor, hosting both the regular $0$- and anomalous $\pi$-Majorana…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

Periodically driven systems provide a powerful platform for quantum multiparameter estimation. Constructing a static effective Hamiltonian in a proper rotating frame is commonly employed to assess the attainable precision. However, such an…

Quantum Physics · Physics 2026-05-28 Yu Yang , Yuyang Tang , Pei Zhang , Fuli Li

Non-Hermitian Hamiltonians provide a simple picture for analyzing systems with natural or induced gain and loss; however, in general, such Hamiltonians feature complex energies and a corresponding non-orthonormal eigenbasis. Provided that…

Quantum Physics · Physics 2020-07-01 Andrew K. Harter , Naomichi Hatano

Floquet engineering, the control of a quantum system by means of time-periodic driving, allows to modify the properties of the system so that it becomes described by an approximate effective time-independent Hamiltonian. However, in the…

Quantum Gases · Physics 2026-04-03 Lorenz Wanckel , André Eckardt

Symmetry protected topological (SPT) phases with unusual edge excitations can emerge in strongly interacting bosonic systems and are classified in terms of the cohomology of their symmetry groups. Here we provide a physical picture that…

Strongly Correlated Electrons · Physics 2014-03-31 Xie Chen , Yuan-Ming Lu , Ashvin Vishwanath

Topological materials, known for their edge states robust against local perturbations, hold promise for next-generation quantum technologies, but remain scarce in nature and challenging to realize in static systems. The Su-Schrieffer-Heeger…

The cooperation between time-periodic driving fields and non-Hermitian effects could endow systems with distinctive spectral and transport properties. In this work, we uncover an intriguing class of non-Hermitian Floquet matter in…

Quantum Physics · Physics 2022-08-16 Longwen Zhou , Wenqian Han

Periodically driven quantum systems known as Floquet insulators can host topologically protected bound states known as "$\pi$ modes" that exhibit response at half the frequency of the drive. Such states can also appear in undriven lattice…

Quantum Physics · Physics 2023-11-13 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

Floquet engineering is the concept of tailoring a system by a periodic drive. It has been very successful in opening new classes of Hamiltonians to the study with ultracold atoms in optical lattices, such as artificial gauge fields,…

Quantum Gases · Physics 2021-08-13 Christof Weitenberg , Juliette Simonet

Recent experimental advances in Floquet engineering and controlling dissipation in open systems have brought about unprecedented flexibility in tailoring novel phenomena without any static and Hermitian analogues. It can be epitomized by…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Chun-Hui Liu , Haiping Hu , Shu Chen

Time-periodic light field has emerged as a control knob for manipulating quantum states in solid-state materials, cold atoms and photonic systems via hybridization with photon-dressed Floquet states in the strong coupling limit, dubbed as…

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