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Quantum light-matter systems at strong coupling are notoriously challenging to analyze due to the need to include states with many excitations in every coupled mode. We propose a nonperturbative approach to analyze light-matter correlations…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Yuto Ashida , Atac Imamoglu , Eugene Demler

The Lindblad form of the master equation has proven to be one of the most convenient ways to describe the impact of an environment interacting with a quantum system of interest. For single systems the jump operators characterizing these…

Quantum Physics · Physics 2021-12-02 Ralf Betzholz , Bruno G. Taketani , Juan Mauricio Torres

We theoretically investigate interactions between non-degenerate mechanical oscillators mediated by a time-dependent cavity field. We obtain a reduced master equation valid for all optomechanical systems operating in the weak coupling…

Quantum Physics · Physics 2015-07-16 L. F. Buchmann , D. M. Stamper-Kurn

The interaction of quantum light with matter is of great importance to a wide range of scientific disciplines, ranging from optomechanics to high precision measurements. A central issue we discuss here, is how to make optimal use of both…

Quantum Physics · Physics 2024-08-27 Lukas M. Rachbauer , Dorian Bouchet , Ulf Leonhardt , Stefan Rotter

We consider a molecular aggregate consisting of $N$ identical monomers. Each monomer comprises two electronic levels and a single harmonic mode. The monomers interact with each other via dipole-dipole forces. The monomer vibrational modes…

Statistical Mechanics · Physics 2012-04-12 Maxim F. Gelin , Dassia Egorova , Wolfgang Domcke

We consider a generic optomechanical system, consisting of a driven optical cavity and a movable mirror attached to a cantilever. Systems of this kind (and analogues) have been realized in many recent experiments. It is well known that…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Max Ludwig , Björn Kubala , Florian Marquardt

Optomechanics, the study of the mechanical interaction of light with matter, has proven to be a fruitful area of research that has yielded many notable achievements, including the direct detection of gravitational waves in kilometer-scale…

We investigate theoretically the mechanical effects of light on atoms trapped by an external potential, whose dipole transition couples to the mode of an optical resonator and is driven by a laser. We derive an analytical expression for the…

Quantum Physics · Physics 2009-11-11 Stefano Zippilli , Giovanna Morigi

Owing to their long-lifetimes at cryogenic temperatures, mechanical oscillators are recognized as an attractive resource for quantum information science and as a testbed for fundamental physics. Key to these applications is the ability to…

Quantum Physics · Physics 2022-11-07 Ryan O. Behunin , Peter T. Rakich

The interaction of a quantum deformed oscillator with the environment is studied deriving a master equation whose form strongly depends on the type of deformation.

Quantum Physics · Physics 2009-10-31 S. Mancini

In this paper, we derive a microscopic master equation for a pair of XY-coupled two-level systems interacting with the same memoryless reservoir. In particular, we apply this master equation to the case of a pair of two-level atoms in free…

Quantum Physics · Physics 2014-03-11 J. P. Santos , F. L. Semião

We develop a model describing long-range atom-atom interactions in a two-dimensional periodic or a-periodic lattice of optical centers considering spectral and spatial broadening effects. Using both analytical and numerical Green's function…

Optics · Physics 2025-04-15 Trevor Kling , Dong-yeop Na , Mahdi Hosseini

Quantum gases of atoms and molecules in optical cavities offer a formidable laboratory for studying the out-of-equilibrium dynamics of open quantum systems with long-range interactions. Long-range interactions are here mediated by multiple…

Quantum Physics · Physics 2026-03-19 Tom Schmit , Catalin-Mihai Halati , Tobias Donner , Giovanna Morigi , Simon B. Jäger

We show set of transformations which allow to obtain analytic solutions in several quantum-optical problems. We start with the ion-laser (time dependent) interaction, continue with the problem of a slow atom interacting with a quantized…

Quantum Physics · Physics 2013-03-13 R. Juárez-Amaro , J. M. Vargas-Martínez , H. Moya-Cessa

Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation…

Quantum Physics · Physics 2021-07-07 Sofia Qvarfort , Michael R. Vanner , P. F. Barker , David Edward Bruschi

The master equation plays an important role in many scientific fields including physics, chemistry, systems biology, physical finance, and sociodynamics. We consider the master equation with periodic transition rates. This may represent an…

Quantitative Methods · Quantitative Biology 2017-10-23 Michael Margaliot , Lars Grüne , Thomas Kriecherbauer

In the last decade, much theoretical research has focused on studying the strong coupling between organic molecules (or quantum emitters, in general) and light modes. The description and prediction of polaritonic phenomena emerging in this…

We analyse a decoherence effect, caused by the gravitational interaction between a massive body and the electromagnetic field. Assuming a quantum version of the light bending interaction, we show that it leads to decoherence of the mass if…

Quantum Physics · Physics 2025-08-28 T. Bazylewicz , M. Szczepanik , J. Kłos , J. K. Korbicz

We obtain a master equation for a parametrically driven optomechanical cavity. We use a more correct dissipation model that accounts for the modification of the quasienergy spectrum caused by the driving. When the natural frequency of the…

Quantum Physics · Physics 2020-07-16 Pablo Yanes-Thomas , Pablo Barberis-Blostein , Marc Bienert

A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the…

Statistical Mechanics · Physics 2009-11-10 M. Esposito , P. Gaspard