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In this paper, I prove necessary and sufficient conditions for the existence of Turing instabilities in a general system with three interacting species. Turing instabilities describe situations when a stable steady state of a reaction…

Pattern Formation and Solitons · Physics 2024-05-24 Vit Piskovsky

The interaction Hamiltonian for a system of polarons a la Feynman in the presence of long range Coulomb interaction is derived and the dielectric function is computed in mean field. For large enough concentration a liquid of such particles…

Strongly Correlated Electrons · Physics 2015-06-25 J. Lorenzana

We present a simple feedback description of parametric instabilities which can be applied to a variety of optical systems. Parametric instabilities are of particular interest to the field of gravitational-wave interferometry where high…

General Relativity and Quantum Cosmology · Physics 2010-02-10 M. Evans , L. Barsotti , P. Fritschel

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

We present a realistic theoretical treatment of a three-level $\Lambda$ system in a hot atomic vapor interacting with a coupling and a probe field of arbitrary strengths, leading to electromagnetically-induced transparency and slow light…

Quantum Physics · Physics 2015-05-13 Joyee Ghosh , R. Ghosh , F. Goldfarb , J. -L. Le Gouët , F. Bretenaker

Large clouds of cold atoms prepared in a magneto-optical trap can develop spatio-temporal instabilities when the frequency of the trapping lasers is brought close to the atomic resonance. This system bears close similarities with trapped…

Atomic Physics · Physics 2020-05-27 Marius Gaudesius , Robin Kaiser , Guillaume Labeyrie , Yongchang Zhang , Thomas Pohl

Three-mode parametric interactions can occur in triply-resonant opto-mechanical systems in which two orthogonal optical modes are coupled with an appropriate mechanical mode. Using an optical cavity with a membrane inside, we report the…

We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of…

When a beam propagates in an accelerator, it interacts with both the external fields and the self-generated electromagnetic fields. If the latter are strong enough, the interplay between them and a perturbation in the beam distribution…

Accelerator Physics · Physics 2016-01-21 G. Rumolo

We study the nonequilibrium dynamic behaviors in a driven-dissipative single-atom cavity electromagnetically induced transparency. The optical bistability and multistability beyond a Kerr nonlinearity are observed utilizing the optical…

Quantum Physics · Physics 2023-07-31 Jing Tang , Yuangang Deng

We explore theoretically the bistable behavior of intracavity photon number in a two-mode cavity optomechanical system, where two cavity modes are coupled to a common mechanical resonator. When the two cavity modes are driven by two pump…

Quantum Physics · Physics 2015-06-16 Cheng Jiang , Hongxiang Liu , Yuanshun Cui , Xiaowei Li , Guibin Chen , Xuemin Shuai

Refractive index and absorption experienced by a probe field propagating through a three-level atomic medium can be effectively manipulated by the bistable behavior of a control field. The probe field couples the lower transition of the…

Optics · Physics 2013-01-03 H. Aswath Babu , Harshawardhan Wanare

We investigate theoretically the effect of optical feedback from a cavity containing an ultracold two level atomic ensemble, on the bistable behavior shown by mean intracavity optical field in an optomechanical cavity resonator. It turns…

Quantum Physics · Physics 2015-09-01 Bijita Sarma , Amarendra K. Sarma

We analyze an unusual class of bosonic dynamical instabilities that arise from dissipative (or non-Hermitian) pairing interactions. We show that, surprisingly, a completely stable dissipative pairing interaction can be combined with simple…

Quantum Physics · Physics 2023-03-27 Andrew Pocklington , Yu-Xin Wang , Aashish A. Clerk

Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of the uniform steady state of the system, and enable us to…

Pattern Formation and Solitons · Physics 2014-05-07 Shigefumi Hata , Hiroya Nakao , Alexander S. Mikhailov

Instabilities are predicted for a sufficiently long hollow photonic optical fiber, or "cavity", containing a one dimensional Bose-gas in the presence of a classical, far red-detuned, confined weak electromagnetic mode. We examine both a…

Quantum Gases · Physics 2013-10-28 N. K. Wilkin , J. M. F. Gunn

We investigate the steady state phase diagram of fermionic atoms subjected to an optical lattice and coupled to a high finesse optical cavity with photon losses. The coupling between the atoms and the cavity field is induced by a transverse…

We find numerically that in the limit of weak atom-atom interactions a Bose-Einstein condensate in an optical lattice may develop a pulsating dynamical instability in which the atoms nearly periodically form a peak in the occupation numbers…

Other Condensed Matter · Physics 2009-11-13 Uttam Shrestha , Marijan Kostrun , Juha Javanainen

We show the existence of a region in the parameter space that defines the field dynamics in a Fabry-Perot cylindrical cavity, where three output stable stationary states of the light are possible for a given localized incident field. Two of…

patt-sol · Physics 2009-10-31 Juan P. Torres , Jack Boyce , Raymond Y. Chiao

Semiconductor microcavities with artificial single-photon emitters have become one of the backbones of semiconductor quantum optics. In many cases however, technical and physical issues limit the study of optical fields to incoherently…

Quantum Physics · Physics 2015-12-01 L. Teuber , P. Grünwald , W. Vogel