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The periodically driven quantum Ising chain has recently attracted a large attention in the context of Floquet engineering. In addition to the common paramagnet and ferromagnet, this driven model can give rise to new topological phases. In…

Quantum Gases · Physics 2017-07-26 Angelo Russomanno , Bat-el Friedman , Emanuele G. Dalla Torre

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

Floquet engineering, modulating quantum systems in a time periodic way, lies at the central part for realizing novel topological dynamical states. Thanks to the Floquet engineering, various new realms on experimentally simulating…

Quantum Physics · Physics 2022-07-13 Huan-Yu Wang , Xiao-Ming Zhao , Lin Zhuang , Wu-Ming Liu

Integer-valued topological indices, characterizing nonlocal properties of quantum states of matter, are known to directly predict robust physical properties of equilibrium systems. The Chern number, e.g., determines the quantized Hall…

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

Recently, anomalous Floquet topological phases without static counterparts have been observed in different systems, where periodically driven models are realized to support a winding number of 1 and a pair of edge modes in each quasienergy…

Quantum Gases · Physics 2024-03-20 Kaiye Shi , Xiang Zhang , Wei Zhang

Though topological aspects of energy bands are known to play a key role in quantum transport in solid-state systems, the implications of Floquet band topology for transport in momentum space (i.e., acceleration) are not explored so far.…

Quantum Gases · Physics 2012-07-11 Derek Y. H. Ho , Jiangbin Gong

Topological frequency converters exploit a quantized transfer of power between two driving fields in a quantum system, a phenomenon topologically protected by the Chern number of the associated fiber bundle. While realizations with few-spin…

Strongly Correlated Electrons · Physics 2026-04-29 Anshuman Tripathi , Mircea Trif , Thore Posske

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

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

Floquet topological insulators are noninteracting quantum systems that, when driven by a time-periodic field, are described by effective Hamiltonians whose bands carry nontrivial topological invariants. A longstanding question concerns the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Thomas Iadecola , Titus Neupert , Claudio Chamon

An intriguing regime of universal charge transport at high entropy density has been proposed for periodically driven interacting one-dimensional systems with Bloch bands separated by a large single-particle band gap. For weak interactions,…

Quantum Gases · Physics 2022-03-03 Iliya Esin , Clemens Kuhlenkamp , Gil Refael , Erez Berg , Mark S. Rudner , Netanel H. Lindner

A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynamics are described in terms of the multi-dimensional Floquet…

Strongly Correlated Electrons · Physics 2023-03-08 HaRu K. Park , Junmo Jeon , Gil Young Cho , SungBin Lee

Periodically-driven quantum systems can exhibit topologically non-trivial behaviour, even when their quasi-energy bands have zero Chern numbers. Much work has been conducted on non-interacting quantum-mechanical models where this kind of…

Other Condensed Matter · Physics 2017-03-03 Callum W. Duncan , Patrik Ohberg , Manuel Valiente

Recently, several authors have investigated topological phenomena in periodically-driven systems of non-interacting particles. These phenomena are identified through analogies between the Floquet spectra of driven systems and the band…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 Mark S. Rudner , Netanel H. Lindner , Erez Berg , Michael Levin

We propose a simple approach to realize two-dimensional Floquet topological superfluid by periodically tuning the depth of square optical lattice potentials. We show that the periodic driving can induce topological phase transitions between…

Quantum Gases · Physics 2014-10-21 Xiaosen Yang

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

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

Much recent experimental effort has focused on the realization of exotic quantum states and dynamics predicted to occur in periodically driven systems. But how robust are the sought-after features, such as Floquet topological surface…

Quantum Gases · Physics 2019-01-16 Lukas M. Sieberer , Maria-Theresa Rieder , Mark H. Fischer , Ion C. Fulga

We investigate many-body dynamics in a one-dimensional interacting periodically driven system, based on a partially filled version of Thouless's topologically quantized adiabatic pump. The corresponding single-particle Floquet bands are…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Netanel H. Lindner , Erez Berg , Mark S. Rudner