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We investigate the emergence of semiclassical dynamics in the quantum Rabi model using a recently developed limiting procedure that formally establishes correspondence with the semiclassical Rabi Hamiltonian [E. K. Twyeffort Irish and A. D.…

Quantum Physics · Physics 2026-04-13 H. F. A. Coleman , R. A. Morrison , A. D. Armour , E. K. Twyeffort

The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the…

Quantum Physics · Physics 2024-03-27 E. K. Twyeffort Irish , A. D. Armour

The extended quantum Rabi models make a significant contribution to understand the quantum nature of the atom-light interaction. We transform two kinds of extended quantum Rabi model, anisotropic Rabi model and asymmetric Rabi model, into…

Quantum Physics · Physics 2022-07-20 Yibo Liu , Lijun Mao , Yunbo Zhang

The theoretical treatment of quasi-periodically driven quantum systems is complicated by the inapplicability of the Floquet theorem, which requires strict periodicity. In this work we consider a quantum system driven by a bi-harmonic…

Statistical Mechanics · Physics 2018-06-26 David Cubero , Ferruccio Renzoni

We study numerically the onset of higher-level excitations and resonance frequency shifts in the generalized multilevel Rabi model with dispersive coupling under strong driving. The response to a weak probe is calculated using the Floquet…

Mesoscale and Nanoscale Physics · Physics 2018-06-14 I. Pietikäinen , S. Danilin , K. S. Kumar , J. Tuorila , G. S. Paraoanu

We compare the semiclassical and quantum predictions for the unitary dynamics of a two-level atom interacting with a single-mode electromagnetic field in the presence of parametric modulation of the atomic parameters, in the regime of…

Quantum Physics · Physics 2025-09-17 M V S de Paula , M A Damasceno Faustino , A V Dodonov

We develop a semiclassical framework for studying quantum particles constrained to curved surfaces using the momentous quantum mechanics formalism, which extends classical phase-space to include quantum fluctuation variables (moments). In a…

Quantum Physics · Physics 2026-01-29 Guillermo Chacon-Acosta , H. Hernandez-Hernandez , J. Ruvalcaba-Rascon

We analyze the dynamics of a superconducting qubit and the phenomenon of multiorder Rabi oscillations in the presence of a time-modulated external field. Such a field is also presented as a bichromatic field consisting of two spectral…

Quantum Physics · Physics 2013-10-04 Gor A. Abovyan , Gagik Yu. Kryuchkyan

The goal of this chapter is to compare the predictions of the semiclassical Rabi model (SRM), which describes the interaction between a two-level system (qubit) and a classical monochromatic wave, and the quantum Rabi model (QRM), under the…

Quantum Physics · Physics 2025-07-14 Alexandre P. Costa , Alexandre Dodonov

We consider a quantum system periodically driven with a strength which varies slowly on the scale of the driving period. The analysis is based on a general formulation of the Floquet theory relying on the extended Hilbert space. It is shown…

Quantum Gases · Physics 2017-02-22 Viktor Novičenko , Egidijus Anisimovas , Gediminas Juzeliūnas

A vast collection of light-matter interactions are described by the single-frequency Rabi model. However, the physical world is polychromatic, and until now there is no general method to find analytic solutions to the multi-frequency Rabi…

Quantum Physics · Physics 2018-07-24 Ben Yuen

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 propose a hybrid quantum-classical algorithm for the simulation of real-time dynamics in interacting quantum field theories coupled to classical fields, focusing on the self-consistent estimation of semiclassical backreaction. By…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Carlos Fulgado-Claudio , Daniel González-Cuadra , Jose Beltrán Jiménez , Alejandro Bermudez

Computations of quantum corrections to the CMB spectrum and to scalar field dynamics during inflation very often take advantage of the "semi-classical" approach, where the metric fluctuations are simply omitted. On the other hand, a…

High Energy Physics - Phenomenology · Physics 2015-11-04 Matti Herranen , Asgeir Osland , Anders Tranberg

We develop a trajectory-based approach for excited-state molecular dynamics simulations of systems subject to an external periodic drive. We combine the exact-factorization formalism, allowing to treat electron-nuclear systems in…

Chemical Physics · Physics 2021-03-31 Marco Schirò , Florian G. Eich , Federica Agostini

We present a general, nonperturbative method for deriving effective Hamiltonians of arbitrary order for periodically driven systems, based on an iterated integration by parts technique. The resulting family of effective Hamiltonians…

Quantum Physics · Physics 2025-11-25 Anirban Dey , Davide Lonigro , Kazuya Yuasa , Daniel Burgarth

A quantum critical system described at low energy by a conformal field theory (CFT) and subjected to a time-periodic boundary drive displays multiple dynamical regimes depending on the drive frequency. We compute the behavior of quantities…

Strongly Correlated Electrons · Physics 2017-07-03 William Berdanier , Michael Kolodrubetz , Romain Vasseur , Joel E. Moore

Floquet (periodically driven) systems can give rise to unique non-equilibrium phases of matter without equilibrium analogs. The most prominent example is the realization of discrete time crystals. An intriguing question emerges: what other…

We propose a scheme to simulate the interaction between a two-level system and a classical light field. Under the transversal driving of two microwave tones, the system Hamiltonian is identical to that of the general semi-classical Rabi…

Quantum Physics · Physics 2017-12-18 Kunzhe Dai , Haiteng Wu , Peng Zhao , Mengmeng Li , Qiang Liu , Guangming Xue , Xinsheng Tan , Haifeng Yu , Yang Yu

We present a general theoretical framework for evaluating multi-photon processes in periodically driven quantum systems, which have been identified as a versatile tool for engineering and controlling nontrivial interactions in various…

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