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The behavior of a family of mean-field glass models is reviewed. The models are analyzed by means of a Langevin-based approach to the dynamics and a Replica theory computation of the thermodynamics. We focus on the phase diagram of a…

Disordered Systems and Neural Networks · Physics 2009-04-23 Luca Leuzzi

Motivated by the increasing interest in the properties of multimode optomechanical devices, here we study a system in which a driven mode of a large-area optical cavity is despersively coupled to a deformable mechanical element. Two…

Parity-time ($\cal PT$) symmetric lasers have attracted considerable attention lately due to their promising applications and intriguing properties, such as free spectral range doubling and single-mode lasing. In this work we discuss…

Optics · Physics 2016-04-18 Li Ge , Ramy El-Ganainy

We study the quantum properties of the electromagnetic field in optical cavities coupled to an arbitrary number of escape channels. We consider both inhomogeneous dielectric resonators with a scalar dielectric constant $\epsilon({\bf r})$…

Quantum Physics · Physics 2009-11-07 C. Viviescas , G. Hackenbroich

We study multi-parameter solutions of the inhomogeneous paraxial wave equation in a linear and quadratic approximation which include oscillating laser beams in a parabolic waveguide, spiral light beams, and other important families of…

Optics · Physics 2015-10-20 Christoph Koutschan , Erwin Suazo , Sergei K. Suslov

For partially coherent light fields with random fluctuations, the intensity distributions and statistics have been proven to be more propagation robust compared with coherent light. However, its full potential in practical applications has…

Optics · Physics 2023-03-30 Xingyuan Lu , Zhuoyi Wang , Qiwen Zhan , Yangjian Cai , Chengliang Zhao

We improve the steady-state ab initio laser theory (SALT) of Tureci et al. by expressing its fundamental self-consistent equation in a basis set of threshold constant flux states that contains the exact threshold lasing mode. For cavities…

Optics · Physics 2015-05-19 Li Ge , Y. D. Chong , A. Douglas Stone

The previous research proves that the random laser emission reflects not only the scattering properties but also the absorption properties. The random laser is therefore considered a potential tool for optical properties sensing. Although…

Optics · Physics 2024-07-15 Dongqin Ni , Florian Klämpfl , Michael Schmidt , Martin Hohmann

Lattice models are valuable tools to gain insight into the statistical physics of heteropolymers. We rigorously map the partition function of these models into a vacuum expectation value of a $\mathbb{Z}_2$ lattice gauge theory (LGT), with…

Statistical Mechanics · Physics 2025-03-19 Veronica Panizza , Alessandro Roggero , Philipp Hauke , Pietro Faccioli

We discuss a spin glass reminiscent of the Random Energy Model, which allows in particular to recast the Parisi minimization into a more classical Gibbs variational principle, thereby shedding some light on the physical meaning of the order…

Probability · Mathematics 2009-11-13 Erwin Bolthausen , Nicola Kistler

We present a fully quantum mechanical treatment of a single-mode atomic cavity with a pumping mechanism and an output coupling to a continuum of external modes. This system is a schematic description of an atom laser. In the dilute limit…

Condensed Matter · Physics 2009-10-31 J. J. Hope , G. M. Moy , M. J. Collett , C. M. Savage

We present a detailed study of the spatial self-organization of laser-driven atoms in an optical cavity, an effect predicted on the basis of numerical simulations [P. Domokos and H. Ritsch, Phys. Rev. Lett. 89, 253003 (2002)] and observed…

Quantum Physics · Physics 2007-05-23 J. K. Asboth , P. Domokos , H. Ritsch , A. Vukics

Resent achievements in statistical theory, namely, a possibility to reproduce almost unlimited Mayer's activity series based on the information about their convergence radius, on the one hand, and generalization of the lattice statistics by…

Monte Carlo sampling of any system may be analyzed in terms of an associated glass model -- a variant of the Random Energy Model -- with, whenever there is a sign problem, complex fields. This model has three types of phases (liquid, frozen…

Statistical Mechanics · Physics 2011-01-17 Gustavo During , Jorge Kurchan

We demonstrate the capability of complete thresholdless lasing operation between dressed states of a two-level atom located inside a microscopic cavity engineered in a photonic band-gap material. We distinguish between threshold and…

Quantum Physics · Physics 2015-05-13 Gao-xiang Li , Min Luo , Zbigniew Ficek

We report the spectral characteristics of fully chaotic and non-chaotic microcavity lasers under continuous-wave operating conditions. It is found that fully chaotic microcavity lasers operate in single mode, whereas non-chaotic microcavity…

Using a recently introduced tensor network method, we study the density of states of the lattice Schwinger model, a standard testbench for lattice gauge theory numerical techniques, but also the object of recent experimental quantum…

High Energy Physics - Lattice · Physics 2021-08-04 Irene Papaefstathiou , Daniel Robaina , J. Ignacio Cirac , Mari Carmen Bañuls

This paper introduces and analyses a general statistical model, termed the RARE model, of random relaxation processes in disordered systems. The model considers excitations, that are randomly scattered around a reaction center in a general…

Statistical Mechanics · Physics 2015-06-12 Iddo Eliazar , Ralf Metzler

We analyze the time resolved spike statistics of a solitary and two mutually interacting chaotic semiconductor lasers whose chaos is characterized by apparently random, short intensity spikes. Repulsion between two successive spikes is…

We present a consistent second order perturbation theory for the lowest-lying condensed modes of very small, weakly-interacting Bose-Einstein condensates in terms of bare particle eigenstates in a harmonic trap. After presenting our general…

Condensed Matter · Physics 2007-05-23 N. P. Proukakis , P. Lambropoulos
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