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Many-mode Floquet theory [T.-S. Ho, S.-I. Chu, and J. V. Tietz, Chem. Phys. Lett., v. 96, 464 (1983)] is a technique for solving the time-dependent Schr\"odinger equation in the special case of multiple periodic fields, but its limitations…

Quantum Physics · Physics 2020-04-01 A. N. Poertner , J. D. D. Martin

Fluctuation theorems are key to understanding both fundamental and applied aspects of non-equilibrium thermodynamics of small systems. We study the non-Markovian entropy production fluctuation theorem for the diffusion process of charged…

Statistical Mechanics · Physics 2026-05-06 K. S. Rodríguez-Vigil , M. A. Bastarrachea-Magnani , J. I. Jiménez-Aquino

We present a comprehensive theoretical framework for calculating the linear and nonlinear optical responses of time-periodic quantum systems. Using density matrix evolution in the Floquet basis and adopting the length gauge, our approach…

Materials Science · Physics 2025-03-10 S. Sajad Dabiri , Reza Asgari

Time modulation opens new avenues for light, heat control, and energy harvesting, yet the impact of nonequilibrium dynamics of microscopic particles remains largely unexplored. We develop a microscopic theory to describe radiative heat…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Hui Pan , Yuhua Ren , Gaomin Tang , Jian-Sheng Wang

We study the effects of a periodically driven electric field applied to a variety of tight-binding models in one dimension. We first consider a non-interacting system with or without a staggered on-site potential, and we find that that…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Samudra Sur , Diptiman Sen

Floquet engineering is the concept of tailoring a system by a periodic drive. It has been very successful in opening new classes of Hamiltonians to the study with ultracold atoms in optical lattices, such as artificial gauge fields,…

Quantum Gases · Physics 2021-08-13 Christof Weitenberg , Juliette Simonet

We study if periodic driving of a model with a quasiperiodic potential can generate interesting Floquet phases which have no counterparts in the static model. Specifically, we consider the Aubry-Andr\'e model which is a one-dimensional…

Disordered Systems and Neural Networks · Physics 2023-01-18 Sreemayee Aditya , K. Sengupta , Diptiman Sen

A microscopic theory of Cooper-pair fluctuations (CPFs) in a disordered 2D electron system with spin-orbit scatterings under parallel magnetic field is presented in light of the observation, at low temperatures, of large magnetoresistance…

Superconductivity · Physics 2025-09-17 Tsofar Maniv , Vladimir Zhuravlev

Periodically driven (Floquet) systems have been under active theoretical and experimental investigations. This paper aims at a systematic study in the following aspects of Floquet systems: (i) A systematic formulation of topological…

Strongly Correlated Electrons · Physics 2017-11-15 Shunyu Yao , Zhongbo Yan , Zhong Wang

As many-body Floquet theory becomes more popular, it is important to find ways to connect theory with experiment. Theoretical calculations can have a periodic driving field that is always on, but experiment cannot. Hence, we need to know…

Strongly Correlated Electrons · Physics 2018-08-01 Mona H. Kalthoff , Götz S. Uhrig , J. K. Freericks

We consider topological phases in periodically driven (Floquet) systems exhibiting many-body localization, protected by a symmetry $G$. We argue for a general correspondence between such phases and topological phases of undriven systems…

Strongly Correlated Electrons · Physics 2016-05-19 Dominic V. Else , Chetan Nayak

We develop a rigorous Temporal Coupled-Mode Theory (TCMT) specifically tailored for a single Floquet-sheet resonator governed by time-modulated conductivities. By invoking photon-number conservation during frequency conversion, we derive…

Optics · Physics 2026-02-24 Yao-Ting Wang , Hsu-Huei Chou

We study the effect of a strong, oscillating driving field on the dynamics of ultracold bosons held in an optical lattice. Modeling the system as a Bose-Hubbard model, we show how the driving field can be used to produce and maintain a…

Other Condensed Matter · Physics 2008-07-04 C. E. Creffield , F. Sols

While a clean driven system generically absorbs energy until it reaches `infinite temperature', it may do so very slowly exhibiting what is known as a prethermal regime. Here, we show that the emergence of an additional approximately…

Disordered Systems and Neural Networks · Physics 2020-11-10 David J. Luitz , Roderich Moessner , S. L. Sondhi , Vedika Khemani

Photon-resolved Floquet theory keeps track of the photon exchange of a quantum system with a coherent driving field. It thus complements the standard full-counting statistics that counts the number of photons exchanged with incoherent…

Quantum Physics · Physics 2024-08-01 G. Engelhardt , JunYan Luo , V. M. Bastidas , G. Platero

We study quantum Floquet (periodically-driven) systems having continuous dynamical symmetry (CDS) consisting of a time translation and a unitary transformation on the Hilbert space. Unlike the discrete ones, the CDS strongly constrains the…

Mesoscale and Nanoscale Physics · Physics 2024-07-19 Yukio Kaneko , Tatsuhiko N. Ikeda

Quantum simulation has the potential to investigate gauge theories in strongly-interacting regimes, which are up to now inaccessible through conventional numerical techniques. Here, we take a first step in this direction by implementing a…

Experiments on periodically driven quantum systems have effectively realized quasi-Hamiltonians, in the sense of Floquet theory, that are otherwise inaccessible in static condensed matter systems. Although the Floquet quasi-Hamiltonians are…

Quantum Gases · Physics 2021-08-17 Etienne Wamba , Axel Pelster , James R. Anglin

Optical drives at terahertz and mid-infrared frequencies in quantum materials are increasingly used to reveal the nonlinear dynamics of collective modes in correlated many-body systems and their interplay with electromagnetic waves. Recent…

We analyze the dynamical response functions of strongly interacting quantum critical states described by conformal field theories (CFTs). We construct a self-consistent holographic model that incorporates the relevant scalar operator…

High Energy Physics - Theory · Physics 2016-10-12 Robert C. Myers , Todd Sierens , William Witczak-Krempa
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