The Study Of Rogue Waves In Polariton Condensates

Bose-Einstein condensate?BEC?,multiple particles collectively coherent and spontaneously occupy the ground state,was predicted by Bose and Einstein and first realized by the JILA group in 1995.The members of this group realized BEC of ⁸⁷R_b vapor by using the magneto-optical trap technology at ultra-low temperature of 170nk.However,the application of gas BEC is limited by the cryogenic experimental requirements and extremely finite number of condensed particles.In recent years,exciton-polariton?polariton for short?in semiconductor materials has became an ideal particle to study.A polariton BEC is consisting of two-dimensional quantum well exciton and microcavity photon,which has many features including short lifetime,light effective mass,strong interaction,high condensed temperature,non-equilibrium characteristic of concomitant gain and decay,strong maneuverability and so on.we can enhance spatial coherence of polariton by microcavity;we can increase the density of polariton by introducing multiple quantum wells;we can detect system's features by the leakage of photon;we can design various systems by micro etching technology and metal layer process;we can manipulate the quantum states by surface acoustic wave and material strain;and we can adjust the parameters of the system by Feshbach resonance technology,pump detunings and polariton density.This kind of two-dimensional system with strong interaction and non-equilibrium characteristics is not only a hotspot of theoretical research,but also a candidate for the next generation of practical quantum devices and optical information processing.And the study of rogue waves has became becomes extremely urgent in order to prevent the photonic dam-break of the process of optical information processing.Rogue wave is a aberrant wave which is localized in time and space and whose peak amplitude exceeds the background in 2 times.It has been found in nonlinear optics,superfluid,finance,BEC and so on.As far as we know,the solutions of rogue wave in the non-equilibrium polariton BEC have not been reported yet.In this paper,we propose a new numerical method,the initial-value function method,to study rogue waves in polariton BEC.The solitons,breathers and rogue waves of different nonlinear models can be obtained by simply changing the amplitude and width of initial incident pulse.First of all,in order to prove the universality of the initial-value function method,we study solitons,breathers and rogue waves in the non-integrable saturated nonlinear schr?dinger equation and cubic-quintic nonlinear schr?dinger equation.Then,we use the initial-value function method to find the solitons,breathers and rogue waves?mainly focusing on rogue wave?in the one-and two-dimensional polariton BEC.The above solutions are highly consistent with the results of the modulation instability analysis.Finally,we give the regions where solitons,breathers and rogue waves exist in the systems.Our method not only provides a new means for studying polariton BEC and non-integrable systems,but also provides a theoretical guidance for observing and controlling rogue waves in polariton BEC.