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This is the second paper on semiclassical approach based on the density matrix given by the Euclidean time path integral with fixed coinciding endpoints. The classical path, interpolating between this point and the classical vacuum, called…

High Energy Physics - Theory · Physics 2017-08-16 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner

A new approach for solving the optical inverse problem of quantitative photoacoustic tomography is introduced, which interpolates between the well-known diffusion approximation and a radiative transfer equation based model. The proposed…

Computational Physics · Physics 2025-09-09 David J. Chappell

In this paper, we study periodic linear systems on periodic time scales which include not only discrete and continuous dynamical systems but also systems with a mixture of discrete and continuous parts (e.g. hybrid dynamical systems). We…

Dynamical Systems · Mathematics 2009-01-27 Jeffrey J. DaCunha , John M. Davis

The quantum dynamics of optomechanical systems was mostly studied for their fluctuations around classical steady states. We present a theoretical approach to determining the system observables of optomechanical systems as genuine quantum…

Quantum Physics · Physics 2012-06-21 Bing He

We present a brief overview of some of the analytic perturbative techniques for the computation of the Floquet Hamiltonian for a periodically driven, or Floquet, quantum many-body system. The key technical points about each of the methods…

Strongly Correlated Electrons · Physics 2021-09-08 Arnab Sen , Diptiman Sen , K. Sengupta

We investigate the stochastic motion of a Brownian particle in the harmonic potential with a time-dependent force constant. It may describe the motion of a colloidal particle in an optical trap where the potential well is formed by a…

Statistical Mechanics · Physics 2014-04-11 Chulan Kwon , Jae Dong Noh , Hyunggyu Park

We discuss Floquet engineering of dissipative molecular systems through periodic driving of an infrared-active vibrational transition, either directly or via a cavity mode. Following a polaron quantum Langevin equations approach, we derive…

Quantum Physics · Physics 2022-05-11 Michael Reitz , Claudiu Genes

We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged…

Quantum Gases · Physics 2015-08-20 Marin Bukov , Luca D'Alessio , Anatoli Polkovnikov

Synchronization is a ubiquitous scientific phenomenon in various physical systems. Here, we examine the feasibility of generating multistable and dynamically tunable synchronization by using the technique of Floquet engineering. Applying a…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Motoki Asano , Hajime Okamoto , Hiroshi Yamaguchi

We consider an atomic beam reservoir as a source of quantum noise. The atoms are modelled as two-state systems and interact one-at-a-time with the system. The Floquet operators are described in terms of the Fermionic creation, annihilation…

Quantum Physics · Physics 2009-11-10 John Gough

We propose a Floquet-engineered framework for the coherent control of the light-matter interaction in a two-level system (TLS) located in a time-modulated cavity. Strictly phase-preserving operation of the TLS-cavity interaction is…

Quantum Physics · Physics 2026-03-17 J. W. Yu , X. Q. Zhou , Z. B. Ni , X. T. Cheng , Y. Zhao , H. H. Zhu , C. H. Li , F. Liu , C. Y. Jin

Recent advances in laser technology now enable engineering the electronic structure of matter through strong light-matter interactions. However, the effective physicochemical properties of these laser-dressed nonequilibrium materials are…

Optics · Physics 2023-08-25 Vishal Tiwari , Bing Gu , Ignacio Franco

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…

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

Periodically driven systems, which can be described by Floquet theory, have been proposed to show characteristic behavior that is distinct from static Hamiltonians. Floquet theory proposes to describe such periodically driven systems in…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 Jay D. Sau , Takuya Kitagawa , Bertrand I. Halperin

Strongly driving a two-level quantum system with light leads to a ladder of Floquet states separated by the photon energy. Nanoscale quantum devices allow the interplay of confined electrons, phonons, and photons to be studied under strong…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 J. Stehlik , Y. -Y. Liu , C. Eichler , T. R. Hartke , X. Mi , M. J. Gullans , J. M. Taylor , J. R. Petta

Controlling the balanced gain and loss in a PT-symmetric system is a rather challenging task. Utilizing Floquet theory, we explore the constructive role of periodic modulation in controlling the gain and loss of a PT-symmetric optical…

Optics · Physics 2016-12-15 Yi Wu , Bo Zhu , Shufang Hu , Zheng Zhou , Honghua Zhong

We develop a theoretical framework for Floquet resonant X-ray scattering, using Floquet theory combined with the ultrashort core-hole lifetime expansion. We obtain a compact expression for the Floquet components of the resonant inelastic…

Strongly Correlated Electrons · Physics 2026-04-09 Martin Eckstein , Eva Paprotzki

The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamiltonian. However, its standard formulation is, strictly…

Mathematical Physics · Physics 2026-05-25 Daniel Burgarth , Robin Hillier , Davide Lonigro , Leonhard Richter

The dynamic engineering of band structures for ultracold atoms in optical lattices represents an innovative approach to understand and explore the fundamental principles of topological matter. In particular, the folded Floquet spectrum…