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In a recent work [arXiv:1301.3960], Bamba and Ogawa developed a microscopic model describing the field of a photonic cavity coupled to a matter exciton-like resonance. One of the results they obtain studying such a model is that, in the…

Quantum Physics · Physics 2014-01-07 Simone De Liberato

We establish a functional weak law of large numbers for observable macroscopic state variables of interacting particle systems (e.g., voter and contact processes) over fast time-varying sparse random networks of interactions. We show that,…

Probability · Mathematics 2017-03-01 Augusto Almeida Santos , Soummya Kar , José M. F. Moura , João Xavier

In a recent work we have found a contraction semigroup able to correctly approximate a projected and perturbed one-parameter group of isometries in a generic Banach space, in the limit of weak-coupling. Here we study its generator by…

Quantum Physics · Physics 2009-09-07 David Taj

This paper provides rigorous definitions and analysis of the dynamics of weakly-coupled systems and gives sufficient conditions for an infinite dimensional quantum control system to be weakly-coupled. As an illustration we provide examples…

Analysis of PDEs · Mathematics 2013-04-02 Nabile Boussaid , Marco Caponigro , Thomas Chambrion

We reinterpret publicly available $K^+ \to \pi^+ \nu \bar{\nu}$ data collected by NA62 from 2016 to 2024 to constrain the fundamental vectorial coupling of the QCD axion to down and strange quarks. Using a fully reproducible likelihood…

High Energy Physics - Phenomenology · Physics 2026-03-05 Diego Guadagnoli , Axel Iohner , Cristina Lazzeroni , Diego Martinez Santos , Joel C. Swallow , Claudio Toni

This study investigates the parameters affecting the entanglement time evolution of product separable (PS) and extended Werner-like (EWL) states in homogeneous, white noise, and mixed environments. In a pure homogeneous environment, both…

Quantum Physics · Physics 2025-07-21 Renzo P. Alporha , Lemuel John F. Sese , Rayda P. Gammag

Quantum entropies and state distances are analyzed in polaronic systems with short range (Holstein model) and long range (Fr$\ddot{o}$hlich model) electron-phonon coupling. These quantities are extracted by a variational wave function which…

Strongly Correlated Electrons · Physics 2015-05-19 C. A. Perroni , V. Marigliano Ramaglia , V. Cataudella

We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximation to derive equations for the phase-difference between a…

Dynamical Systems · Mathematics 2016-03-09 Youngmin Park , Bard Ermentrout

In the framework of a basic semiclassical time-dependent nonlinear two-state problem, we study the weak coupling limit of the nonlinear Landau-Zener transition at coherent photo- and magneto-association of an atomic Bose-Einstein…

Quantum Gases · Physics 2010-03-04 N. Sahakyan , H. Azizbekyan , H. Ishkhanyan , R. Sokhoyan , A. Ishkhanyan

We extend the theory of Kimberly and Magueijo for the spacetime variation of the electroweak couplings in the unified Glashow-Salam-Weinberg model of the electroweak interaction to include quantum corrections. We derive the effective…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Douglas J. Shaw , John D. Barrow

For a system of weakly interacting anharmonic oscillators, perturbed by an energy preserving stochastic dynamics, we prove an autonomous (stochastic) evolution for the energies at large time scale (with respect to the coupling parameter).…

Probability · Mathematics 2010-07-28 Carlangelo Liverani , Stefano Olla

The Gibbs state is widely taken to be the equilibrium state of a system in contact with an environment at temperature $T$. However, non-negligible interactions between system and environment can give rise to an altered state. Here we derive…

Quantum Physics · Physics 2021-12-28 J. D. Cresser , J. Anders

We examine a completely positive and trace preserving evolution of finite dimensional open quantum system, coupled to large environment via periodically modulated interaction Hamiltonian. We derive a corresponding Markovian Master Equation…

Mathematical Physics · Physics 2021-01-12 Krzysztof Szczygielski

We examine flat models containing a dark matter component and an arbitrary dark energy component, subject only to the constraint that the dark energy satisfies the weak energy condition. We determine the constraints that these conditions…

Astrophysics · Physics 2008-11-26 A. A. Sen , Robert J. Scherrer

Searching for a weak signal at an unknown frequency is a canonical task in experiments probing fundamental physics such as gravitational-wave observatories and ultra-light dark matter haloscopes. These state-of-the-art sensors are limited…

We propose a measurement-based quantum metrology protocol in a composite model, where the probe system (a spin ensemble) is coupled to an ancillary two-level system (qubit) with a general Heisenberg XXZ interaction. With an optimized and…

Quantum Physics · Physics 2026-01-23 Peng Chen , Jun Jing

This article develops general conditions for weak convergence of adaptive Markov chain Monte Carlo processes and is shown to imply a weak law of large numbers for bounded Lipschitz continuous functions. This allows an estimation theory for…

Statistics Theory · Mathematics 2026-01-14 Austin Brown , Jeffrey S. Rosenthal

It is shown analytically that there exists a natural basis in terms of which the nonperturbative time evolution of an important class of driven four-level systems in the strong-coupling regime decouples and essentially reduces to the…

Quantum Physics · Physics 2010-07-01 Vicente Delgado , J. M. Gomez Llorente

We introduce a concept of non-coherent evolution of macroscopic quantum systems. We show that for weakly interacting systems such evolution is a Markovian stochastic process. The transition rates between system states, which characterize…

Quantum Physics · Physics 2026-03-17 A. P. Meilakhs

We study the asymptotic properties, in the weak sense, of regenerative processes and Markov renewal processes. For the latter, we derive both renewal-type results, also concerning the related counting process, and ergodic-type ones,…

Probability · Mathematics 2025-05-20 Andrea Pedicone , Fabrizio Cinque