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The monochromatic driving of a quantum system is a successful technique in quantum simulations, well captured by an effective Hamiltonian approach, and with applications in artificial gauge fields and topological engineering. In this…

Quantum Physics · Physics 2024-06-27 François Impens , David Guéry-Odelin

The purpose of this paper is to present a mathematical framework for analyzing the response of quantum linear systems driven by multi-photon states. Both the factorizable (namely, no correlation among the photons in the channel) and…

Quantum Physics · Physics 2013-11-05 Guofeng Zhang

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the…

Quantum Gases · Physics 2015-09-25 André Eckardt , Egidijus Anisimovas

We present a framework for the realization of dissipative evolutions of spin-boson models, including multiphoton exchange dynamics, as well as nonlinear transition rates. Our approach is based on the implementation of a generalized version…

Quantum Physics · Physics 2019-03-04 Ricardo Puebla , Jorge Casanova , Oussama Houhou , Enrique Solano , Mauro Paternostro

The development of future quantum devices requires understanding the dynamics of driven many-body systems, in which the Floquet-induced interactions play a central role. This understanding is crucial for coherently controlling quantum…

Quantum Physics · Physics 2025-01-28 Xiao Wang

We study the statistics of multi-photon absorption/emission processes in a mesoscopic ring threaded by an harmonic time-dependent flux $\Phi(t)$. For this sake, we demonstrate a useful analogy between the Keldysh quantum kinetic equation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alessandro Silva , Vladimir E. Kravtsov

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 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

Multi-photon states are widely applied in quantum information technology. By the methods presented in this paper, the structure of a multi-photon state in the form of multiple single photon qubit product can be mapped to a single photon…

Quantum Physics · Physics 2009-10-16 Qing Lin , Bing He , János A. Bergou , Yuhang Ren

Periodically-driven quantum systems can exhibit a plethora of intriguing non-equilibrium phenomena that can be analyzed using Floquet theory. Naturally, Floquet theory is employed to describe the dynamics of atoms interacting with intense…

Quantum Physics · Physics 2024-04-02 Georg Engelhardt , Sayan Choudhury , W. Vincent Liu

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

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

Controlling the decoherence induced by the interaction of quantum system with its environment is a fundamental challenge in quantum technology. Utilizing Floquet theory, we explore the constructive role of temporal periodic driving in…

Quantum Physics · Physics 2015-05-28 Chong Chen , Jun-Hong An , Hong-Gang Luo , C. P. Sun , C. H. Oh

Floquet theory and other established semiclassical approaches are widely used methods to predict the state of externally-driven quantum systems, yet, they do not allow to predict the state of the photonic driving field. To overcome this…

Quantum Physics · Physics 2024-07-26 Georg Engelhardt , JunYan Luo , Victor M. Bastidas , Gloria Platero

We present an approach for efficiently simulating strongly damped quantum systems subjected to periodic driving, employing a periodic matrix product operator representation of the influence functional. This representation enables the…

Quantum Physics · Physics 2026-04-17 Konrad Mickiewicz , Valentin Link , Walter T. Strunz

We show that a quantum many-body system may be controlled by means of Floquet engineering, i.e., their properties may be controlled and manipulated by employing periodic driving. We present a concrete driving scheme that allows control over…

Strongly Correlated Electrons · Physics 2018-08-22 Yuval Baum , Evert P. L. van Nieuwenburg , Gil Refael

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

Tunability of an artificial quantum system is crucial to its capability to process quantum information. However, tunability usually poses significant demand on the design and fabrication of a device. In this work, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2023-04-25 Yuan Zhou , Sisi Gu , Ke Wang , Gang Cao , Xuedong Hu , Ming Gong , Hai-Ou Li , Guo-Ping Guo

We develop a general theory for multiphoton qubit-resonator interactions enhanced by a qubit drive. The interactions generate qubit-conditional operations in the resonator when the driving is near $n$-photon cross-resonance, namely, the…

Quantum Physics · Physics 2024-11-21 Mohammad Ayyash , Xicheng Xu , Sahel Ashhab , Matteo Mariantoni

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh