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We investigate the non-equilibrium topology of a periodically driven, dissipative Su-Schrieffer-Heeger chain using the ensemble geometric phase (EGP) $\phi_{\mathrm{EGP}}$-a generalisation of the Zak phase to open quantum systems. In…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Görkem D. Dinc , Alexander Schnell , Andy M. Martin

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

The interplay of various localizing mechanisms is a central topic of modern condensed matter physics. In this work we experimentally explore the interplay between quasiperiodic disorder and periodic driving, each of which in isolation is…

Atomic Physics · Physics 2025-05-12 Peter Dotti , Yifei Bai , Toshihiko Shimasaki , Anna R. Dardia , David M. Weld

Recent works have demonstrated that the Floquet-Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional structure in the driven case arises from the periodicity of…

Mesoscale and Nanoscale Physics · Physics 2019-01-24 Frederik Nathan , Mark S. Rudner

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

Periodic driving can be used to coherently control the properties of a many-body state and to realize new phases which are not accessible in static systems. For example, exposing materials to intense laser pulses enables to provoke…

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

Strongly Correlated Electrons · Physics 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel effective Hamiltonians. The challenge of Floquet engineering lies in the preparation and measurement of the desired quantum state. We…

We study a generic class of fermionic two-band models under synchronized periodic driving, i.e., with the different terms in a Hamiltonian subject to periodic drives with the same frequency and phase. With all modes initially in a maximally…

Statistical Mechanics · Physics 2022-04-05 R. Jafari , Alireza Akbari , Utkarsh Mishra , Henrik Johannesson

We examine the quench dynamics of an extended Su-Schrieffer-Heeger(SSH) model involving long-range hopping that can hold multiple topological phases. Using winding number diagrams to characterize the system's topological phases…

Quantum Physics · Physics 2024-05-03 Anirban Ghosh , Andy M. Martin , Sonjoy Majumder

A characteristic feature of topological systems is the presence of robust gapless edge states. In this work the effect of time-dependent perturbations on the edge states is considered. Specifically we consider perturbations that can be…

Superconductivity · Physics 2017-01-16 P. D. Sacramento

We investigate the topological phase transitions and edge-state properties of a time-multiplexed nonunitary quantum walk with sublattice symmetry. By constructing a Floquet operator incorporating tunable gain and loss, we systematically…

Quantum Physics · Physics 2025-11-04 Huimin Wang , Zhihao Xu , Zhijian Li

Driving a quantum system periodically in time can profoundly alter its long-time correlations and give rise to exotic quantum states of matter. The complexity of the combination of many-body correlations and dynamic manipulations has the…

Strongly Correlated Electrons · Physics 2019-06-04 Shaon Sahoo , Imke Schneider , Sebastian Eggert

We report on the theoretical investigation of the topological properties of a periodically quenched one-dimensional dimerized lattice where a piece-wise constant Hamiltonian switches from $h_1$ to $h_2$ at a partition time $t_p$ within each…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Milad Jangjan , Luis E. F. Foa Torres , Mir Vahid Hosseini

A photonic Floquet topological insulator has previously been experimentally realized in an array of evanescently-coupled helical waveguides. In the topological regime probed by that experiment, the chirality of the single topological edge…

We demonstrate that a boundary-localized periodic (Floquet) drive can induce nontrivial long-range correlations in a non-interacting fermionic chain which is additionally subject to boundary dissipation. Surprisingly, we find that this…

Quantum Physics · Physics 2026-02-03 Hao Chen , Wucheng Zhang , Manas Kulkarni , Abhinav Prem

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

Quantum Physics · Physics 2022-09-21 Ciaran McDonnell , Beatriz Olmos

We develop an experimental protocol based on Floquet-engineered ultracold fermions in optical lattices, enabling the emulation of pair-hopping and competing singlet/triplet pairing interactions. Through large-scale density matrix…

Quantum Gases · Physics 2025-04-07 Zhi Lin , Qi Song , Sheng Yue , Ming Yang , Jie Lou , Yan Chen

Periodically driven quantum systems, known as Floquet systems, provide a versatile platform for engineering novel topological phases absent in static settings. However, dynamically characterizing these non-equilibrium topological invariants…

Quantum Physics · Physics 2026-05-08 Xin Shen , Bing Lu , Yan-Qing Zhu

Symmetry-protected topological (SPT) phases in insulators and superconductors are known for their robust edge modes, linked to bulk invariants through the bulk-boundary correspondence. While this principle traditionally applies to gapped…

Strongly Correlated Electrons · Physics 2024-11-06 Gabriel Cardoso , Hsiu-Chung Yeh , Leonid Korneev , Alexander G. Abanov , Aditi Mitra