Feshbach resonance management of vector solitons in two-component Bose-Einstein condensates

We consider two coupled Gross Pitaevskii equations describing a two-component Bose Einstein condensate with time-dependent atomic interactions loaded in an external harmonic potential, and investigate the dynamics of vector solitons. By using a direct method, we construct a novel family of vector soliton solutions, which are the linear combination between dark and bright solitons in each component. Our results show that due to the superposition between dark and bright solitons, such vector solitons possess many novel and interesting properties. The dynamics of vector solitons can be controlled by the Feshbach resonance technique, and the vector solitons can keep the dynamic stability against the variation of the scattering length.

Dynamics of vector solitons in two-component Bose-Einstein condensates with time-dependent interactions and harmonic potential

We present two kinds of exact vector-soliton solutions for coupled nonlinear Schrodinger equations with time- varying interactions and time-varying harmonic potential. Using the variational approach, we investigate the dynamics of the vector solitons. It is found that the two bright sol/tons oscillate about slightly and pass through each other around the equilibration state which means that they are stable under our modeh At the same time, we obtain the opposite situation for dark-dark solitons.

Internal mode of incoherent photovoltaic vector solitons

The internal modes of incoherent vector solitons （IVSs） in photovoltaic photorefractive materials are investigated in the framework of coupled nonlinear Schrodinger equations. It is found that there is a pair of internal modes corresponding to a bright-bright IVS. The propagation dynamics of the bright-bright IVS perturbed by the internal modes is simulated by numerical method.

Manipulating vector solitons with super-sech pulse shapes

Theoretical simulations about manipulating vector solitons with super-sech pulse shapes are conducted based on an optical fiber system.By changing the temporal pulses’parameters when the orthogonally polarized pulses have the same or different input central wavelengths,the output modes in orthogonal directions will demonstrate different properties.When the input orthogonal modes have the same central wavelength,the“2+2”pseudo-high-order vector soliton can be generated when the time delay is changed.While under the condition of different central wavelengths,orthogonal pulses with multiple peaks accompanied with two wavelengths can be achieved through varying the projection angle,time delay or phase difference.Our simulations are helpful to the study of optical soliton dynamics in optical fiber systems.

Stability properties of vector solitons in two-component Bose-Einstein condensates with tunable interactions

By using a unified theory of the formation of various types of vector-solitons in two-component Bose-Einstein condensates with tunable interactions, we obtain a family of exact vector-soliton solutions for the coupled nonlinear Schrodinger equations. Moreover, the Bogoliubov equation shows that there exists stable dark soliton in specific situa- tions. Our results open up new ways in considerable experimental interest for the quantum control of multi-component Bose Einstein condensates.

Spiral attractor created by vector solitons

Mode-locked lasers emitting a train of femtosecond pulses called dissipative solitons are an enabling technology for metrology,high-resolution spectroscopy,fibre optic communications,nano-optics and many other fields of science and applications.Recently,the vector nature of dissipative solitons has been exploited to demonstrate mode locked lasing with both locked and rapidly evolving states of polarisation.Here,for an erbium-doped fibre laser mode locked with carbon nanotubes,we demonstrate the first experimental and theoretical evidence of a new class of slowly evolving vector solitons characterized by a double-scroll chaotic polarisation attractor substantially different from Lorenz,Ro¨ssler and Ikeda strange attractors.The underlying physics comprises a long time scale coherent coupling of two polarisation modes.The observed phenomena,apart from the fundamental interest,provide a base for advances in secure communications,trapping and manipulation of atoms and nanoparticles,control of magnetisation in data storage devices and many other areas.

Symmetric and antisymmetric vector solitons for the fractional quadric-cubic coupled nonlinear Schrodinger equation

The fractional quadric-cubic coupled nonlinear Schrodinger equation is concerned,and vector symmetric and antisymmetric soliton solutions are obtained by the square operator method.The relationship between the Lévy index and the amplitudes of vector symmetric and antisymmetric solitons is investigated.Two components of vector symmetric and antisymmetric solitons show a positive and negative trend with the Lévy index,respectively.The stability intervals of these solitons and the propagation constants corresponding to the maximum and minimum instability growth rates are studied.Results indicate that vector symmetric solitons are more stable and have better interference resistance than vector antisymmetric solitons.

Pulse shaping of bright-dark vector soliton pair

We simulate pulse shaping of bright-dark vector soliton pair in an optical fiber system.Through changing input pulse parameters(amplitude ratio,projection angle,time delay,and phase difference),different kinds of pulse shapes and spectra can be generated.For input bright-dark vector soliton pair with the same central wavelength,“2+1”-and“2+2”-type pseudo-high-order bright-dark vector soliton pairs are achieved.While for the case of different central wavelengths,bright-dark vector soliton pairs with multiple pulse peaks/dips are demonstrated with appropriate pulse parameter setting.

Vector soliton and noise-like pulse generation using a Ti3C2 MXene material in a fiber laser

We built a Tm:Ho co-doped fiber laser using a Ti3C2 MXene material as a saturable absorber(SA).The formation of vector solitons(VSs)and noise-like pulses(NLPs)was observed.The SA was prepared by dripping a Ti3C2 solution on a side-polished D-shaped fiber and then naturally vaporized.The VS is characterized by two coexisting sets of Kelly sidebands.By modulating the polarization controller in the fiber laser,NLPs with about 3.3 nm bandwidth can be switched from the VS.To the best of our knowledge,this is the first time that VSs have been generated in a fiber laser using a Ti3C2 MXene material as the SA.