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We develop a theory to derive effective Floquet Hamiltonians in the weak drive and low-frequency regime. We construct the theory in analogy with band theory for electrons in a spatially-periodic and weak potential, such as occurs in some…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

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

We investigate a system composed of two coupled oscillators subject to stochastic fluctuations in its internal parameters. In particular, we answer the question whether the well-known classical analogy of the quantum dynamics of two-level…

Quantum Physics · Physics 2025-12-03 Lorenzo Bernazzani , Guido Burkard

Many problems in nonlinear and statistical physics are formulated through represented flows, including physical-space vector fields, phase-space drift fields, and truncated renormalization-group beta functions. We introduce a complementary…

Statistical Mechanics · Physics 2026-05-27 Amir Jafari

We present a formalism that enables the analytic calculation of the interaction of a spin-half particle with a polychromatic electromagnetic field. This powerful new approach provides a clear physical picture even for cases with highly…

Quantum Physics · Physics 2019-07-03 Ben Yuen , Christopher J. Foot

We propose a `Floquet engineering' formalism to systematically design a periodic driving protocol in order to stroboscopically realize the desired system starting from a given static Hamiltonian. The formalism is applicable to quantum…

Quantum Physics · Physics 2022-01-12 Jayendra N. Bandyopadhyay , Juzar Thingna

A general theory is presented for the treatment of decoherence of a multilevel quantum system (with many degrees of freedom) interacting with multi-bath reservoir and driven by ac fields. In this approach, the system is described by a…

Quantum Physics · Physics 2007-05-23 Zhongyuan Zhou , Shih-I Chu , Siyuan Han

We extend the notion of fragile topology to periodically-driven systems. We demonstrate driving-induced fragile topology in two different models, namely, the Floquet honeycomb model and the Floquet $\pi$-flux square-lattice model. In both…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Rui-Xing Zhang , Zhi-Cheng Yang

Resonance fluorescence---the light emitted when exciting resonantly a two-level system---is a popular quantum source as it seems to inherit its spectral properties from the driving laser and its statistical properties from the two-level…

The Floquet spectrum of a class of driven SU(2) systems is shown to display a butterfly pattern with multi-fractal properties. The level crossing between Floquet states of the same parity or different parities is studied. The results are…

Quantum Physics · Physics 2015-05-13 Jiao Wang , Jiangbin Gong

Two-level systems (TLS) are the major source of dephasing of spin qubits in numerous quantum computing platforms. In spite of much effort, it has been difficult to substantially mitigate the effects of this noise or, in many cases, to fully…

Quantum Physics · Physics 2025-07-25 Yujun Choi , S. N. Coppersmith , Robert Joynt

Using the Floquet formalism we study transport through an AC-driven impurity in a tight binding chain. The results obtained are exact and valid for all frequencies and barrier amplitudes. At frequencies comparable to the bulk bandwidth we…

Mesoscale and Nanoscale Physics · Physics 2017-06-27 S. A. Reyes , D. Thuberg , D. Pérez , C. Dauer , S. Eggert

Scattering by a short-range potential with time-periodic interaction strength is investigated with a Floquet-scattering theory. Sharp resonances occur, at which the s-wave scattering length can be tuned to large positive and negative…

Quantum Gases · Physics 2025-08-26 Christoph Dauer , Axel Pelster , Sebastian Eggert

A many mode Floquet theory (MMFT) formalism is applied to study the interaction of a polychromatic rf-field with cold atoms trapped in a quadrupole magnetic trap. In this work, the validity of MMFT approach is first established by comparing…

Atomic Physics · Physics 2018-01-17 A. Chakraborty , S. R. Mishra

Although the main loss channel of planar microwave superconducting resonators has been identified to be related to an external coupling to a two-level system (TLS) bath, the behavior of such a cavity in the presence of an off-resonant pump…

The interaction of a resonant light field with a quantum two-level system is of key interest both for fundamental quantum optics and quantum technological applications employing resonant excitation. While emission under resonant…

Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting…

Quantum Physics · Physics 2025-09-17 Suyang Lin , Ming Gong , Congjun Wu

We theoretically study the resonance fluorescence spectra of the lambda ($\Lambda$), vee ($V$) and cascade ($\Xi$) type three-level configurations. It is shown that each system with two detuning frequencies can be modelled using the $SU(3)$…

Quantum Physics · Physics 2023-10-18 Surajit Sen , Tushar Kanti Dey , Bimalendu Deb

We investigate theoretically the spectrum of resonance fluorescence of a harmonically trapped atom, whose internal transitions are $\Lambda$--shaped and driven at two-photon resonance by a pair of lasers, which cool the center--of--mass…

Quantum Physics · Physics 2009-11-10 Marc Bienert , Wolfgang Merkel , Giovanna Morigi

Spectral properties of fluorescent radiation from a two-level quantum system with broken inversion spatial symmetry, which can be described by a model of an one-electron two-level atom whose electric dipole moment operator has permanent…

Quantum Physics · Physics 2024-12-17 Nikolai N. Bogolyubov, , Andrey V. Soldatov
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