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We complement previous studies of an ion coupled with an optical cavity in the dispersive regime, for a model which exhibits bistability of different configurations in the semiclassical description. Our approach is based on a truncated…

Quantum Physics · Physics 2023-03-31 Alan Kahan , Leonardo Ermann , Marcos Saraceno , Cecilia Cormick

In this article we try to bridge the gap between the quantum dynamical semigroup and Wigner function approaches to quantum open systems. In particular we study stationary states and the long time asymptotics for the quantum Fokker-Planck…

Mathematical Physics · Physics 2008-10-22 Anton Arnold , Franco Fagnola , Lukas Neumann

Nonlinear dynamics in the fundamental interaction between a two-level atom with recoil and a quantized radiation field in a high-quality cavity is studied. We consider the strongly coupled atom-field system as a quantum-classical hybrid…

Quantum Physics · Physics 2011-11-09 S. V. Prants

We investigate fermionic atoms subjected to an optical lattice and coupled to a high finesse optical cavity with photon losses. A transverse pump beam introduces a coupling between the atoms and the cavity field. We explore the steady state…

The ground state cooling of a mechanical oscillator in an optomechanical cavity containing an ensemble of identical two-level ground-state atoms is studied in the highly unresolved-sideband regime. The system exhibits…

Optics · Physics 2016-03-01 Bijita Sarma , Amarendra K Sarma

The spectral and temporal response of a set of $N$ quantum emitters embedded in a photonic cavity is studied. Quantum mechanically, such systems can be described by the Tavis-Cummings (TC) model of $N$ two-level systems coupled to a single…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 K. Jürgens , F. Lengers , D. Groll , D. E. Reiter , D. Wigger , T. Kuhn

We report the experimental implementation of the Dicke model in the semiclassical approximation, which describes a large number of two-level atoms interacting with a single-mode electromagnetic field in a perfectly reflecting cavity. This…

We investigate external and internal dynamics of a two-level atom strongly coupled to a weakly pumped nanophotonic cavity. We calculate the dipole force, friction force, and stochastic force due to the cavity pump field, and show that a…

Quantum Physics · Physics 2023-04-11 Chenwei Lv , Ming Zhu , Sambit Banerjee , Chen-Lung Hung

Optically levitated nanoparticles have recently emerged as versatile platforms for investigating macroscopic quantum mechanics and enabling ultrasensitive metrology. In this article we theoretically consider two damping regimes of an…

Quantum Physics · Physics 2016-08-10 Wenchao Ge , Brandon Rodenburg , M. Bhattacharya

We consider a simple quantum system subjected to a classical random force. Under certain conditions it is shown that the noise-averaged Wigner function of the system follows an integro-differential stochastic Liouville equation. In the…

High Energy Physics - Theory · Physics 2008-02-03 Salman Habib

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 study the collective optical response of an atomic ensemble confined within a single-mode optical cavity by stochastic electrodynamics simulations that include the effects of atomic position correlations, internal level structure, and…

Quantum Physics · Physics 2017-08-28 Mark D. Lee , Stewart D. Jenkins , Yael Bronstein , Janne Ruostekoski

Cavity-mediated cooling of the center--of--mass motion of a transversally, coherently pumped atom along the axis of a high--Q cavity is studied. The internal dynamics of the atomic dipole strongly coupled to the cavity field is treated by a…

Quantum Physics · Physics 2007-05-23 Peter Domokos , Thomas Salzburger , Helmut Ritsch

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

We discuss a semiclassical approach to solve the quantum impurity model within non-equilibrium dynamical mean-field theory for electron-lattice models. The effect of electronic fluctuations on the phonon is kept beyond Ehrenfest dynamics,…

Strongly Correlated Electrons · Physics 2023-07-11 Antonio Picano , Francesco Grandi , Philipp Werner , Martin Eckstein

We consider the Kramers--Smoluchowski equation at a low temperature regime and show how semiclassical techniques developed for the study of the Witten Laplacian and Fokker--Planck equation provide quantitative results. This equation comes…

Analysis of PDEs · Mathematics 2018-07-16 Laurent Michel , Maciej Zworski

We study spatial self-organisation and dynamical phase-space compression of a dilute cold gas of laser-illuminated polarisable particles in an optical resonator. Deriving a non-linear Fokker--Planck equation for the particles' phase-space…

Quantum Physics · Physics 2011-11-07 Wolfgang Niedenzu , Tobias Grießer , Helmut Ritsch

A semiclassical theory of dissipative Henon-Heiles system is proposed. Based on $\hbar$-scaling of an equation for evolution of Wigner quasiprobability distribution function in presence of dissipation and thermal diffusion, we derive a…

chao-dyn · Physics 2015-06-24 Bidhan Chandra Bag , Deb Shankar Ray

This article has to do with the derivation and solution of the Fokker--Planck equation associated to the momentum-independent Wigner function, of a particle subjected to a harmonic external field and immersed in a ohmic thermal bath of…

Quantum Physics · Physics 2018-05-23 Pedro J. Colmenares

We present a fully quantum theory describing the cooling of a cantilever coupled via radiation pressure to an illuminated optical cavity. Applying the quantum noise approach to the fluctuations of the radiation pressure force, we derive the…

Mesoscale and Nanoscale Physics · Physics 2008-07-22 Florian Marquardt , Joe P. Chen , A. A. Clerk , S. M. Girvin