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The effect of a time-periodic perturbation, such as radiation, on a system otherwise at equilibrium has been studied in the context of Floquet theory with stationary states replaced by Floquet states and the energy replaced by quasienergy.…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ranjani Seshadri , T. Pereg-Barnea

Motivated by the quest for experimentally accessible dynamical probes of Floquet topological insulators, we formulate the linear response theory of a periodically driven system. We illustrate the applications of this formalism by giving…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Abhishek Kumar , M. Rodriguez-Vega , T. Pereg-Barnea , B. Seradjeh

Here we present a theoretical investigation of the Floquet spectrum in multiterminal quantum dot Josephson junctions biased with commensurate voltages. We first draw an analogy between the electronic band theory and superconductivity which…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Régis Mélin , Romain Danneau , Kang Yang , Jean-Guy Caputo , Benoît Doucot

We propose a Floquet period-doubling time-crystal model based on a disordered interacting long-range spin chain where the periodic swapping of nearby spin couples is applied. This protocol can be applied to systems with any local spin…

Quantum Physics · Physics 2024-05-27 Roberto Gargiulo , Gianluca Passarelli , Procolo Lucignano , Angelo Russomanno

The steady-state electronic transport across periodically driven systems can be efficiently addressed using Landauer-B\"{u}ttiker formalism. The time-dependent nonequilibrium Green's function theory then may be adapted for developing direct…

Mesoscale and Nanoscale Physics · Physics 2018-12-17 Oleksandr Balabanov

A variational principle enabling one to compute individual Floquet states of a periodically time-dependent quantum system is formulated, and successfully tested against the benchmark system provided by the analytically solvable model of a…

Quantum Physics · Physics 2020-10-29 Nils Krüger

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

Periodic driving and Floquet engineering have emerged as invaluable tools for controlling and uncovering novel phenomena in quantum systems. In this study, we adopt these methods to manipulate nonequilibrium processes within…

Quantum Physics · Physics 2023-09-12 Jakob Bätge , Yu Wang , Amikam Levy , Wenjie Dou , Michael Thoss

The classical Wiener-Khinchin theorem (WKT), which can extract spectral information by classical interferometers through Fourier transform, is a fundamental theorem used in many disciplines. However, there is still need for a quantum…

Quantum Physics · Physics 2018-01-30 Rui-Bo Jin , Ryosuke Shimizu

Conventional optical synthesis, the manipulation of the phase and amplitude of spectral components to produce an optical pulse in different temporal modes, is revolutionizing ultrafast optical science and metrology. These technologies rely…

Periodic driving serves as an effective method for controlling the properties of physical systems. Called "Floquet engineering," it is a broad field of theoretical and experimental activity. Whereas original Floquet theory was proposed to a…

Mathematical Physics · Physics 2026-05-28 P. I. Naumkin , A. V. Nikolaev , L. L. Tao , M. Ye. Zhuravlev

Directional transport is obtained in various multimode systems by driving multiple, nonreciprocally-interfering interactions between individual bosonic modes. However, systems sustaining the required number of modes become physically…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Laure Mercier de Lépinay , Caspar F. Ockeloen-Korppi , Daniel Malz , Mika A. Sillanpää

A Floquet quantum system is governed by a Hamiltonian that is periodic in time. Consider the space of piecewise time-independent Floquet systems with (geometrically) local interactions. We prove that for all but a measure zero set of…

Quantum Physics · Physics 2024-07-18 Yichen Huang

Floquet engineering offers a compelling approach for designing the time evolution of periodically driven systems. We implement a periodic atom-light coupling to realize Floquet atom optics on the strontium ${}^1\!S_0\,\text{-}\, {}^3\!P_1$…

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

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

We present a method for simulating any non-interacting and time-periodic tight-binding Hamiltonian in Fourier space using electric circuits made of inductors and capacitors. We first map the time-periodic Hamiltonian to a Floquet…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 S. Sajad Dabiri , H. Cheraghchi

In this work we investigate an optomechanical system consisting of two cavities coupled to the same mechanical resonator. We consider each cavity being weakly pumped as well as a small tunneling rate between the cavities. In such…

Quantum Physics · Physics 2015-06-18 T. Figueiredo Roque , A. Vidiella-Barranco

A variety of dynamics in nature and society can be approximately treated as a driven and damped parametric oscillator. An intensive investigation of this time-dependent model from an algebraic point of view provides a consistent method to…

Quantum Physics · Physics 2016-08-24 Lin Zhang , Weiping Zhang

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…

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