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Second order phase transitions are universally driven by an order parameter which becomes trivial at the critical point. At the same time, collective excitations which involve the amplitude of the order parameter develop a gap which…

High Energy Physics - Theory · Physics 2022-09-07 Aristomenis Donos , Christiana Pantelidou

Higher order topology, in the form of the emergence of corner modes, is observed in two dimensions when crystalline symmetries are superposed on the Altland-Zirnbauer classification of topological insulators. It occurs in…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Koustav Roy , Latu Kalita , B. Tanatar , Saurabh Basu

We theoretically investigate a periodically driven semimetal based on a square lattice. The possibility of engineering both Floquet Topological Insulator featuring Floquet edge states and Floquet higher order topological insulating phase,…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Arnob Kumar Ghosh , Ganesh C. Paul , Arijit Saha

We study operator dynamics in many-body quantum systems, focusing on generic features of systems that are ergodic, spatially extended, and lack conserved densities. Quantum circuits of various types provide simple models for such systems.…

Statistical Mechanics · Physics 2025-04-15 Takato Yoshimura , Samuel J. Garratt , J. T. Chalker

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

Floquet engineering is one of the most vigorous fields in periodically driven (Floquet) systems, with which we can control phases of matter usually by high-frequency drives. In this paper, with Floquet engineering by a combination of…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

Based on a solution of the Floquet Hamiltonian we have studied the time-evolution of electronic states in graphene nanoribbons driven out of equilibrium by time-dependent electromagnetic fields in different regimes of intensity,…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Franca Manghi , Matteo Puviani , Francesco Lenzini

The concept of Floquet engineering is to subject a quantum system to time-periodic driving in such a way that it acquires interesting novel properties. It has been employed, for instance, for the realization of artificial magnetic fluxes in…

Quantum Gases · Physics 2020-03-11 Gaoyong Sun , André Eckardt

Single- and many-electron calculations and related dynamics are presented for a dimer and small Hubbard clusters. Floquet-Bloch picture for a periodic dimer is discussed with regard to the time dependence of the Peierls gap and the…

Strongly Correlated Electrons · Physics 2021-04-21 Gayanath W. Fernando , R. Matthias Geilhufe , Adil-Gerai Kussow , W. Wasanthi P. De Silva

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

Flat-band systems are of great interest due to their strong electron correlations and unique band geometry. Recent studies have linked the properties of Cooper pairs in flat-band superconductors to the quantum metric. Unlike prior studies…

Superconductivity · Physics 2024-09-18 Yuhang Xiao , Ning Hao

Using a state-of-the-art numerical scheme, we show that the Higgs mode under excitation exhibits chirped oscillations and exponential decay when fluctuations are included. This is in stark contrast to conventional BCS collisionless dynamics…

Superconductivity · Physics 2025-06-23 Thomas Blommel , Jason Kaye , Yuta Murakami , Emanuel Gull , Denis Golež

The Higgs amplitude mode is a collective excitation studied and observed in a broad class of matter, including superconductors, charge density waves, antiferromagnets, 3He p-wave superfluid, and ultracold atomic condensates. In all the…

We study the energy absorption in real time of a disordered quantum spin chain subjected to coherent monochromatic periodic driving. We determine characteristic fingerprints of the well-known ergodic (Floquet-ETH for slow driving/weak…

Statistical Mechanics · Physics 2016-07-20 Jorge Rehn , Achilleas Lazarides , Frank Pollmann , Roderich Moessner

We introduce a framework for designing Hamiltonian engineering pulse sequences that systematically accounts for the effects of higher-order contributions to the Floquet-Magnus expansion. Our techniques result in simple, intuitive decoupling…

Quantum Physics · Physics 2024-01-15 Matthew Tyler , Hengyun Zhou , Leigh S. Martin , Nathaniel Leitao , Mikhail D. Lukin

With light-matter interaction extending into strong regime, as well as rapid development of laser technology, systems subjecting to a time-periodic perturbation are attracted broad attention. Floquet theorem and Floquet time-independent…

Quantum Physics · Physics 2023-09-25 Yu Wang , Vahid Mosallanejad , Wei Liu , Wenjie Dou

Floquet modulation has been widely used in optical lattices for coherent control of quantum gases, in particular for synthesizing artificial gauge fields and simulating topological matters. However, such modulation induces heating which can…

Quantum Gases · Physics 2023-01-06 Xingqi Xu , Jiefei Wang , Jianhao Dai , Ruosong Mao , Han Cai , Shi-Yao Zhu , Da-Wei Wang

We investigate the life cycle of the large amplitude Higgs mode in strongly interacting superfluid Fermi gas. Through numerical simulations with time-dependent density-functional theory and the technique of the interaction quench, we verify…

Quantum Gases · Physics 2023-07-17 Andrea Barresi , Antoine Boulet , Gabriel Wlazłowski , Piotr Magierski

We develop the Floquet-Magnus expansion for a classical equation of motion under a periodic drive that is applicable to both isolated and open systems. For classical systems, known approaches based on the Floquet theorem fail due to the…

Strongly Correlated Electrons · Physics 2018-11-13 Sho Higashikawa , Hiroyuki Fujita , Masahiro Sato

Floquet insulators are periodically driven quantum systems that can host novel topological phases as a function of the drive parameters. These new phases exhibit features reminiscent of fermion doubling in discrete-time lattice fermion…

Quantum Physics · Physics 2023-07-12 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen