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We present detailed numerical simulations of semiclassical and quantum spectra of a cavity quantum electrodynamics system consisting of a single three-level atom in $\Lambda$-configuration with one of its transitions strongly interacting…

Quantum Physics · Physics 2022-02-17 M. O. Musa , H. Temimi , Y. Zhu

We present a semiclassical quantization condition, i.e., quantum-classical correspondence, for steady states of nonadiabatic systems consisting of fast and slow degrees of freedom (DOFs) by extending Gutzwiller's trace formula to a…

Chemical Physics · Physics 2015-10-21 Mikiya Fujii , Koichi Yamashita

We study quantum Floquet (periodically-driven) systems having continuous dynamical symmetry (CDS) consisting of a time translation and a unitary transformation on the Hilbert space. Unlike the discrete ones, the CDS strongly constrains the…

Mesoscale and Nanoscale Physics · Physics 2024-07-19 Yukio Kaneko , Tatsuhiko N. Ikeda

Conformal field theories (CFT) play an important role in quantum field theories as they allow for exact studies that are hard to access without the conformal symmetries in place. A remarkable recent development is the application of…

Strongly Correlated Electrons · Physics 2021-03-17 Malthe Andersen , Frederik Nørfjand , Nikolaj Thomas Zinner

We study quasi-particle dynamics in a quasi-periodic Ising model with temporally fluctuating transverse fields. Specifically, we calculate the dynamical exponents of the standard deviation of a quasi-particle spreading under a field chosen…

Statistical Mechanics · Physics 2023-03-07 Kohei Ohgane , Yusuke Masaki , Hiroaki Matsueda

We consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third order differential equations with…

Quantum Physics · Physics 2020-12-02 Heinz-Jürgen Schmidt

We show that resonant driving between the spin up and spin down states of an electron spin-qubit in a quantum dot reduces the occupancy of the dot through leakage to an appropriately tuned lead. A nearby charge sensor measuring the…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Emily Townsend , Joshua Pomeroy , Garnett W. Bryant

In this contribution it is considered a simple and solvable model consisting of a qubit in interaction with an oscillator exposed to a very small "environment" (a second qubit). An isolated qubit-oscillator system having the oscillator…

Quantum Physics · Physics 2018-07-31 A. Vidiella-Barranco

An initial coherent state is propagated exactly by a kicked quantum Hamiltonian and its associated classical stroboscopic map. The classical trajectories within the initial state are regular for low kicking strengths, then bifurcate and…

Chaotic Dynamics · Physics 2019-07-16 Gabriel M. Lando , Alfredo M. Ozorio de Almeida

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure.…

Disordered Systems and Neural Networks · Physics 2018-09-25 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

One of the most important issues in quantum gravity is to identify its semi-classical regime. First the issue is to define for we mean by a semi-classical theory of quantum gravity, then we would like to use it to extract physical…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Etera R. Livine

In the context of semiclassical gravity, the semiclassical Einstein equation is often invoked when backreaction of quantum matter/fields on the spacetime is at stake. It is expected to hold when quantum fluctuations are small. Yet, it is…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Gustavo Schranck Habermann , Daniel A. Turolla Vanzella

It is proved that the energy absorption in a periodically driven classical spin system is exponentially slow in frequency, which results in a two-step relaxation called the Floquet prethermalization. This result is shown by establishing the…

Statistical Mechanics · Physics 2018-09-19 Takashi Mori

We present a semiclassical calculation of the generalized form factor which characterizes the fluctuations of matrix elements of the quantum operators in the eigenbasis of the Hamiltonian of a chaotic system. Our approach is based on some…

Chaotic Dynamics · Physics 2007-05-23 M. Turek , D. Spehner , S. Müller , K. Richter

The quantum Rabi model is essential for understanding interacting quantum systems. It serves as the simplest non-integrable yet solvable model describing the interaction between a two-level system and a single mode of a bosonic field. In…

Quantum Physics · Physics 2024-01-12 Chon-Fai Kam , Yang Chen

We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average number of excitations. Once the field's…

Mathematical Physics · Physics 2025-03-19 S. Breteaux , M. Correggi , M. Falconi , J. Faupin

Controlling interactions is the key element for quantum engineering of many-body systems. Using time-periodic driving, a naturally given many-body Hamiltonian of a closed quantum system can be transformed into an effective target…

Spatio-temporally chaotic dynamics of a classical field can be described by means of an infinite hierarchy of its unstable spatio-temporally periodic solutions. The periodic orbit theory yields the global averages characterizing the chaotic…

Chaotic Dynamics · Physics 2009-10-31 Predrag Cvitanovic

We illustrate how classical chaotic dynamics influences the quantum properties at mesoscopic scales. As a model case we study semiclassically coherent transport through ballistic mesoscopic systems within the Landauer formalism beyond the…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Daniel Waltner , Klaus Richter

Floquet theory is a widely used framework to describe the dynamics of periodically-driven quantum systems. The usual set up to describe such kind of systems is to consider the effect of an external control with a definite period in time…

Quantum Physics · Physics 2025-10-10 V. M. Bastidas
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