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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

Spatially uniform excitations can induce Floquet topological bandstructures within insulators which have equal characteristics to those of topological insulators. Going beyond we demonstrate in this article the evolution of Floquet…

Strongly Correlated Electrons · Physics 2019-09-17 Andreas Lubatsch , Regine Frank

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

We consider the dynamics of a two-level system (qubit) driven by strong and short resonant pulses in the framework of Floquet theory. First we derive analytical expressions for the quasienergies and Floquet states of the driven system. If…

Quantum Physics · Physics 2016-12-13 Chunqing Deng , Feiruo Shen , Sahel Ashhab , Adrian Lupascu

We investigate a mechanism to transiently stabilize topological phenomena in long-lived quasi-steady states of isolated quantum many-body systems driven at low frequencies. We obtain an analytical bound for the lifetime of the quasi-steady…

Statistical Mechanics · Physics 2020-07-29 Tobias Gulden , Erez Berg , Mark S. Rudner , Netanel H. Lindner

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

Quantum Gases · Physics 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

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

Characterization and control of matter by optical means is at the forefront of research both due to fundamental insights and technological promise. Theoretical modeling of periodically driven systems is a prerequisite to understanding and…

Mesoscale and Nanoscale Physics · Physics 2020-03-06 Gabriel Cabra , Ignacio Franco , Michael Galperin

Optical conductivity measurements may provide access to distinct signatures of Floquet electronic phases, which are described theoretically by their quasienergy band structures. We characterize experimental observables of the Floquet…

Mesoscale and Nanoscale Physics · Physics 2023-07-27 Andrew Cupo , Joshuah T. Heath , Emilio Cobanera , James D. Whitfield , Chandrasekhar Ramanathan , Lorenza Viola

The field of topological photonics studies unique and robust photonic systems that are immune to defects and disorders due to the protection of their underlying topological phases. Mostly implemented in static systems, the studied…

Optics · Physics 2023-04-20 Jicheng Jin , Li He , Jian Lu , Lin Chang , Chen Shang , John E. Bowers , Eugene J. Mele , Bo Zhen

We investigate the formation of quasisteady states in one-dimensional pumps of interacting fermions at non-integer filling fraction, in the regime where the driving frequency and interaction strength are small compared to the instantaneous…

Quantum Gases · Physics 2022-05-24 Raffael Gawatz , Ajit C. Balram , Erez Berg , Netanel H. Lindner , Mark S. Rudner

A primer on the Floquet theory of periodically time-dependent quantum systems is provided, and it is shown how to apply this framework for computing the quasienergy band structure governing the dynamics of ultracold atoms in driven optical…

Quantum Physics · Physics 2015-11-30 Martin Holthaus

We present a Floquet framework for controlling topological features of a one-dimensional optical lattice system with dual-mode resonant driving, in which both the amplitude and phase of the lattice potential are modulated simultaneously. We…

Quantum Gases · Physics 2024-09-20 Dalmin Bae , Junyoung Park , Myeonghyeon Kim , Haneul Kwak , Junhwan Kwon , Yong-il Shin

Quantized dynamics is essential for natural processes and technological applications alike. The work of Thouless on quantized particle transport in slowly varying potentials (Thouless pumping) has played a key role in understanding that…

Quantum Physics · Physics 2020-08-13 Zlata Fedorova , Haixin Qiu , Stefan Linden , Johann Kroha

Momentum-band topology, which transcends conventional topological band theory, unlocks new topological phases that host fascinating temporal interface states. However, direct bulk experimental evidence of such emerging band topology is…

Materials Science · Physics 2025-07-08 Shuaishuai Tong , Qicheng Zhang , Gaohan Li , Kun Zhang , Chun Xie , Chunyin Qiu

Recently the creation of novel topological states of matter by a periodic driving field has attracted great attention. To motivate further experimental and theoretical studies, we investigate interesting aspects of Floquet bands and…

Quantum Gases · Physics 2015-06-19 Longwen Zhou , Hailong Wang , Derek Y. H. Ho , Jiangbin Gong

Nonadiabatic Thouless pumping of electrons is studied within the framework of topological Floquet engineering, particularly focused on how atomic lattice dynamics affect the emergent Floquet topological phase in trans-polyacetylene under…

Materials Science · Physics 2025-06-16 Ruiyi Zhou , Yosuke Kanai

Nonadiabatic Thouless pumping of electrons is studied in the framework of topological Floquet engineering, particularly focused on how changes to chemical moieties can control the emergence of the Floquet topological phase. We employ…

Chemical Physics · Physics 2025-06-17 Ruiyi Zhou , Yosuke Kanai