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Fluctuation theorem is derived for a quantum current system around a nonequilibrium steady state. It is demonstrated that the fluctuation theorem can be a part of the generalized Green-Kubo formula or a nonlinear response theory of an…

Statistical Mechanics · Physics 2011-03-30 Hisao Hayakawa

Higgs modes emerge in superconductors as collective excitations of the order parameter amplitude when periodically driven by electromagnetic radiation. In this work, we develop a Floquet approach to study Higgs modes in superconductors…

Superconductivity · Physics 2024-06-05 Tobias Kuhn , Björn Sothmann , Jorge Cayao

For the case of finite life-time broadening the standard Kubo-formula for the optical conductivity tensor is rederived in terms of Green's functions by using contour integrations, whereby finite temperatures are accounted for by using the…

Materials Science · Physics 2009-10-31 Laszlo Szunyogh , Peter Weinberger

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics, dating back to ideas such as the inverse Faraday effect. There is a renewed interest in this concept owing to the…

Strongly Correlated Electrons · Physics 2018-12-20 Takashi Oka , Sota Kitamura

A recently proposed theoretical framework for the description of electronic quantum friction for constant-velocity nuclear projectiles traversing periodic crystals is here implemented using a local basis representation. The theory requires…

Other Condensed Matter · Physics 2022-07-13 Marjan Famili , Nicolò Forcellini , Emilio Artacho

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

In this work, we present a new approach to disordered, periodically driven (Floquet) quantum many-body systems based on flow equations. Specifically, we introduce a continuous unitary flow of Floquet operators in an extended Hilbert space,…

Disordered Systems and Neural Networks · Physics 2021-08-11 S. J. Thomson , D. Magano , M. Schiró

Electric polarization is a geometric phenomenon in solids and has a close relationship to the symmetry of the system. Here we propose a mechanism to dynamically induce and manipulate electric polarization by using an external light field.…

Mesoscale and Nanoscale Physics · Physics 2021-12-24 Yuya Ikeda , Sota Kitamura , Takahiro Morimoto

We develop a theoretical framework that lays out the fundamental rules under which a periodic (Floquet) driving scheme can induce non-reciprocal transport. Our approach utilizes an extended Hilbert space where a Floquet network with an…

Optics · Physics 2018-04-24 Huanan Li , Tsampikos Kottos , Boris Shapiro

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

Periodic driving is used to steer physical systems to unique stationary states or nonequilibrium steady states (NESS), producing enhanced properties inaccessible to non-driven systems. For open quantum systems, characterizing the NESS is…

Quantum Physics · Physics 2026-01-13 Milan Šindelka , David Gelbwaser-Klimovsky

We use the quasienergy structure that emerges when a fluxonium superconducting circuit is driven periodically to encode quantum information with dynamically induced flux-insensitive sweet spots. The framework of Floquet theory provides an…

Quantum Physics · Physics 2020-11-25 Pranav S. Mundada , András Gyenis , Ziwen Huang , Jens Koch , Andrew A. Houck

In this manuscript, we introduce an exact expression for the response of a semi-classical two-level quantum system subject to arbitrary periodic driving. Determining the transition probabilities of a two-level system driven by an arbitrary…

Quantum Physics · Physics 2025-11-07 Michael Warnock , David A. Hague , Vesna F. Mitrovic

For a periodically driven open quantum system, the Floquet theorem states that the time evolution operator $\Lambda(t,0)$ of the system can be factorized as $\Lambda(t,0)=\mathcal{D}(t)e^{\mathcal{L}_{eff}t}$ with micro-motion operator…

Quantum Physics · Physics 2017-07-18 C. M. Dai , Hong Li , W. Wang , X. X. Yi

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

We develop a theory to derive effective Floquet Hamiltonians in the weak drive and low-frequency regime. We construct the theory in analogy with band theory for electrons in a spatially-periodic and weak potential, such as occurs in some…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical…

Quantum Physics · Physics 2016-11-23 Albert Verdeny , Joaquim Puig , Florian Mintert

In this paper, we derive a generalized second fluctuation-dissipation theorem (FDT) for stochastic dynamical systems in the steady state. The established theory is built upon the Mori-type generalized Langevin equation for stochastic…

Statistical Mechanics · Physics 2021-06-15 Yuanran Zhu , Huan Lei , Changho Kim

We present a Floquet scattering theory of electron waiting time distributions in periodically driven quantum conductors. We employ a second-quantized formulation that allows us to relate the waiting time distribution to the Floquet…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 David Dasenbrook , Christian Flindt , Markus Büttiker