Dynamics of homogeneous magnetizations in strong transverse driving fields

Spatially homogeneous solutions of the Landau-Lifshitz-Gilbert equation are analysed. The different cases of conservative as well as dissipative motion are considered separately. For the linearly polarized driven Hamiltonian system we apply a global perturbation theory to uncover the main resonances as well as the phase space structure. The case of circularly polarized driven dissipative motion is studied in detail. We present the complete bifurcation diagram including bifurcations up to codimension three.     

Conversion of spin into directed electric current in quantum wells

A nonequilibrium population of spin-up and spin-down states in quantum well structures has been achieved applying circularly polarized radiation. The spin polarization results in a directed motion of free carriers in the plane of a quantum well perpendicular to the direction of light propagation. Because of the spin selection rules the direction of the current is determined by the helicity of the light and can be reversed by switching the helicity from right to left handed. A microscopic model is presented which describes the origin of the photon helicity driven current. The model suggests that the system behaves as a battery which generates a spin polarized current.     

The exact solution of the relativistic equation of motion of acharged particle driven by an elliptically polarized electromagneticwave

An exact solution of the relativistic equation of motion of a charged particle driven by an elliptically polarized electromagnetic wave is obtained. The method used for this purpose is simple, and the results of earlier authors for the linearly and circularly polarized waves can be recovered as special cases of the solution     

Stable spatially localized solutions and holes in optical bistability

We investigate the spatial behavior of the electric field for optical bistability in the good cavity limit. We show that stable spatially localized solutions exist in one and two dimensions. In addition we find that stable one-dimensional hole solutions also arise in this driven non-equilibrium system with dissipation and dispersion thus demonstrating that stable holes are not restricted to dispersive systems, but can emerge in strongly dissipative systems as well. A critical comparison with the properties of stable localized solutions in other driven dissipative systems is also included.     

Two-dimensional laser soliton complexes with weak, strong, and mixed coupling

A review is given of features and motion of two-dimensional dissipative solitons in lasers and laser amplifiers with saturable absorption. We present a rich variety of stable complexes with weak, strong, and mixed coupling of individual laser solitons. The type of coupling is determined by the topology of the distribution of energy flows within the complex. We reveal the existence of stable dissipative soliton complexes with curvilinear motion of their centre of mass. This type of motion results from the field distribution asymmetry and is well pronounced for complexes of laser solitons with strong and mixed types of coupling. Similar complexes are expected to exist in different spatially distributed nonlinear dissipative systems, including schemes with discrete dissipative solitons. PACS 42.65.Tg     

Curvilinear motion of multivortex laser-soliton complexes with strong and weak coupling

We reveal the existence of stable dissipative soliton complexes with curvilinear motion of their center of mass. This type of motion results from the field distribution asymmetry and is well pronounced for asymmetric complexes of laser solitons with strong coupling. We present results of numerical simulations of such complexes in a model of wide-aperture lasers or laser amplifiers with saturable gain and absorption. The complex consists of a pair of strongly coupled vortex solitons weakly coupled with a number of other vortex solitons. Similar complexes are expected to exist in different spatially distributed nonlinear dissipative systems, including schemes with discrete dissipative solitons.     

Detectability of dissipative motion in quantum vacuum via superradiance

We propose an experiment for generating and detecting vacuum-induced dissipative motion. A high frequency mechanical resonator driven in resonance is expected to dissipate mechanical energy in quantum vacuum via photon emission. The photons are stored in a high quality electromagnetic cavity and detected through their interaction with ultracold alkali-metal atoms prepared in an inverted population of hyperfine states. Superradiant amplification of the generated photons results in a detectable radio-frequency signal temporally distinguishable from the expected background.     

金属中逆法拉第效应的经典理论

研究电子在圆偏振光驱动下的经典动力学问题以及金属中逆法拉第效应(IFE)的经典微观机制.得到电子在圆偏振光驱动下的一个解,表明其运动轨道是螺旋线.忽略电子与磁场的相互作用,电子作绕平行于其初速度的轴、横截面为椭圆的螺旋线运动,产生了一个平行于其初速度、方向由圆偏振光的手征性决定的磁矩.磁矩的统计结果与Hertel从电子气整体出发得到的结果一致.     

Strongly driven dissipative systems —An approach by Robertson's theory

Robertson's theory is used for quantumstatistical treatment of dissipative systems driven at high power. Assuming a weak internal interaction and a Markoff-like approximation, tractable nonlinear equations of motion result for expectation values. The systematic part of the driving fields is exactly treated. Two examples of thermal open systems demonstrate the significance of the presented theory.     

Ergodic dynamics in a natural threshold system

Numerical simulations suggest that certain driven, dissipative mean-field threshold systems, including earthquake models, can be characterized by statistical properties often associated with ergodic dynamics, in the same sense as stochastic Brownian motion. We applied a fluctuation metric proposed by Thirumalai and Mountain [Phys. Rev. E 47, 479 (1993)]] for statistically stationary systems and find that the natural earthquake fault system in California demonstrates similar ergodic dynamics.     

Absorption-induced optical bistability and dissipative solitons in a BEC interferometer

A model of the absorption-induced nonlinear response of an atomic Bose-Einstein condensate driven by a weak resonant laser beam is presented. The model takes into account the slow BEC decay due to spontaneous emission and magnetic-trap loss by binary collisions, as well as compensation of the decay by injection of ground-state atoms into the trap. It is shown that the nonlinear response is much stronger than in other nonlinear optical media. For a BEC interferometer driven by a monochromatic beam, the threshold intensity for hysteretic switching is found, and dissipative spatial solitons are demonstrated.     

Nonlinear Simulations of the Bump-on-Tail Instabilities in Tokamak Plasmas

We reproduce nonlinear behaviors,including frequency chirping and mode splitting,referred to as bump-on-tail instabilities.As has been reported in previous works,the generation and motion of phase-space hole-clump pairs in a kinetically driven,dissipative system can result in frequency chirping.We provide examples of frequency chirping,both with and without pure diffusion,in order to illustrate the role of the diffusion effect,which can suppress holes and clumps;Asymmetric frequency chirpings are produced with drag effect,which is essential to enhance holes,and suppress clumps.Although both diffusion and drag effect suppress the clumps,downward sweepings are observed,caused by a complicated interaction of diffusion and drag.In addition,we examine the discrepancies in frequency chirping between marginally unstable,and far from marginally unstable cases,which we elucidate by means of a dissipative system.In addition,mode splitting is also produced via BOT code for a marginal case with large diffusion.     

Dynamical complexity of driven two-level systems. I. External driving by a given laser field

We treat the general dynamic behavior of an externally driven two-level atom with underlyingSU(2) symmetry in the context of dynamical-systems theory. The temporal evolution of an atom driven by a circularly polarized bichromatic laser field is shown to be regular by calculating the power spectra and the stroboscopic phase portraits in terms of theSU(2) group parameters. In contrast to that, the atomic dynamics is shown to be irregular (ergodic) in the case of a linearly polarized bichromatic laser field. Exhibiting a rich variety of regular and irregular motion, an externally drivenSU(2) dynamical system cannot be truly chaotic in the sense of sensitivity to the initial conditions.     

Laser control of intramolecular hydrogen transfer reactions: A real-time path integral approach

Different pulse shapes realizing photo isomerization via laser driven tunnelling or vibrational transitions are studied here. Particular attention is paid to the investigation of their robustness with respect to the influence of dissipative processes introduced by the interaction with an environment. An iterative scheme for propagation of the reduced density matrix in the path integral representation is used to take into account arbitrary system-environment coupling strengths as well as the effect of non-Markovian dynamics.     

Spontaneous symmetry breaking of population in a nonadiabatically driven atomic trap: an Ising-class phase transition

We have observed spontaneous symmetry breaking of the population of Brownian particles between two moving potentials in the spatiotemporally symmetric system. Cold atoms preferentially occupy one of the dynamic double-well potentials, produced in the parametrically driven dissipative magneto-optical trap far from equilibrium, above a critical number of atoms. We find that the population asymmetry, which may be interpreted as the biased Brownian motion, can be qualitatively described by the mean-field Ising-class phase transition. This in situ study may be useful for investigation of dynamic phase transition or temporal behavior of critical phenomena.     

An exact solution of the relativistic equation of motion of acharged particle driven by a circularly polarized electromagnetic waveand a constant magnetic field

An exact solution is found for the relativistic equation of motion of a charged particle driven by a circularly polarized electromagnetic wave and a constant magnetic field. The explicit expressions of particle position and velocity are obtained for certain initial conditions. The results are of interest to the interaction of the high-power laser with the magnetized plasma, electromagnetically pumped free-electron laser with a guide magnetic field, propagation of electromagnetic wave signals through a re-entry plasma sheath in the presence of a strong magnetic field, and magnetic confinement plasmas     

Secular free solutions up to third order for two circularly polarized waves in a dissipative plasma medium

The perturbation method of Lindstedt is applied to study the nonlinear effects for two circularly polarized transverse monochromatic waves in a cold dissipative plasma. Amplitude-dependent wavelength and frequency shifts including relativistic corrections are derived.     

Regular and stochastic motion of dissipative optical solitons

Investigations of the motion of dissipative optical solitons and their complexes in wide-aperture nonlinearly optical (with coherent pump radiation) and laser (with incoherent pump radiation) systems have been reviewed. An important characteristic of dissipative solitons is the topology of the energy fluxes, which determines the internal structure of individual solitons and makes it possible to certainly separate the cases of the weak and strong interactions between the solitons. It has been shown that the character of the regular motion of dissipative soliton structures in a homogeneous system is determined by the symmetry of the transverse distributions of the intensity and energy flux; the motion of asymmetric structures is curvilinear. This is also valid for complexes of three-dimensional dissipative optical solitons, “laser bullets.” The extreme possibilities of localization of solitons are determined by quantum noises. The corresponding Brownian motion of the center of the dissipative optical soliton is characterized by a much lower level of the statistic dispersion of the coordinates of its center and velocity than that in the case of conservative solitons.     

Hidden Vacuum Rabi Oscillations:Dynamical Quantum Superpositions of On/Off Interaction between a Single Quantum Dot and a Microcavity

We show that it is possible to realize quantum superpositions of switched-on and-off strong light-matter interaction in a single quantum dot-semiconductor microcavity system.Such superpositions enable the observation of counterintuitive quantum conditional dynamics effects.Situations are possible where cavity photons as well as the emitter luminescence display exponential decay but their joint detection probability exhibits vacuum Rabi oscillations.Remarkably,these quantum correlations are also present in the nonequilibrium steady state spectra of such coherently driven dissipative quantum systems.