Studies On The Quantum Motion Of Two Solitons In Exciton-polariton Condensate

At present,the Bose-Einstein condensate of exciton polariton in semiconductor microcavity is a novel phenomenon,that is,its non-equilibrium property.It has aroused great interest,especially in the realization of nonlinear physics and the research of experimental platform.The polariton is a new type of boson quasi-particle,which is strongly coupled by cavity photons and excitons.It has the characteristics of light effective mass and short lifetime.In order to explore the effect of the combination of dissipation and nonlinearity,this thesis studies solitons in polariton condensates.First,In this thesis,we establish on-demand motion control of two-bright dissipative solitons.To this end,we calculate the quantum motion of two bright solitons of a polariton condensate under non-resonant pumping by both analytically and numerically solving driven-dissipative Gross-Piteavskii equation.We show how to boost a bright soliton into motion or stop a moving bright soliton by manipulating the mutual interaction between two bright solitons.Bright dissipative solitons in a semiconductor microcavity are kinds of ultranarrow light-matter localization excited on picosecond timescales,which have the potential application of next-generation ultrafast information processing.And then,we theoretically investigate dynamics of two dark solitons in a polariton condensate under nonresonant pumping,based on driven dissipative Gross–Pitaevskii equations coupled to the rate equation.The equation of motion of the relative center position of two-dark soliton is obtained analytically by using the Lagrangian approach.In particular,the analytical expression of the effective potential between two dark solitons is given.The resulting equation of motion captures how the open-dissipative character of a polariton Bose–Einstein condensate affects properties of dynamics of two-dark soliton,i.e.,two-dark soliton relax by blending with the background at a finite time.We further simulate the relative motion of two dark solitons numerically with the emphasis on how two-soliton motion is manipulated by the initial velocity,in excellent agreement with the analytical results.The prediction of this work is sufficient for the experimental observations within current facilities.Finally,the summary and prospect of this thesis are given.The research in this thesis is mainly on the dynamics of solitons in one-dimensional polarized plasmon condensates.later studies can realize the stable existence of double bright solitons and study abundant dynamic behaviors in two-dimensional non-equilibrium system.In the next research,we can also focus on the combination of dissipative solitons and spin photonics in microcavity polarization plasmon condensates to study their physical phenomena.