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1.
Nonautonomous dark soliton solutions in two-component Bose–Einstein condensates with a linear time-dependent potential
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We report the analytical nonantonomous soliton solutions (NSSs) for two-component Bose-Einstein condensates with the presence of a time-dependent potential. These solutions show that the time-dependent potential can affect the velocity of NSS. The velocity shows the characteristic of both increasing and oscillation with time. A detailed analysis for the asymptotic behavior of NSSs demonstrates that the collision of two NSSs of each component is elastic. 相似文献
2.
Control of soliton characteristics of the condensate by an arbitrary x-dependent external potential
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This paper presents a family of soliton solutions of the one-dimensional nonlinear Schrdinger equation which describes the dynamics of the dark solitons in Bose-Einstein condensates with an arbitrary x-dependent external potential.The obtained results show that the external potential has an important effect on the dark soliton dynamical characteristics of the condensates.The amplitude,width,and velocity of the output soliton are relative to the source position of the external potential.The smaller the amplitude of the soliton is,the narrower its width is,and the slower the soliton propagates.The collision of two dark solitons is nearly elastic. 相似文献
3.
Stability properties of vector solitons in two-component Bose-Einstein condensates with tunable interactions
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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 Schro¨dinger equations.Moreover,the Bogoliubov equation shows that there exists stable dark soliton in specific situations.Our results open up new ways in considerable experimental interest for the quantum control of multi-component Bose-Einstein condensates. 相似文献
4.
We consider a spin-1 Bose-Einstein condensate trapped in a harmonic potential with different nonlinearity coeffi- cients. We illustrate the dynamics of soliton breathers in two-component and three-component states by numerically solv- ing the one-dimensional time-dependent coupled Gross-Pitaecskii equations (GPEs). We present that two condensates with repulsive interspecies interactions make elastic collision and novel soliton breathers are created in two-component state. We also demonstrate novel soliton breathers in three-component state with attractive coupling constants. Furthermore, possible reasons for creating soliton breathers are discussed. 相似文献
5.
We study,theoretically,incoherently coupled screening-photovoltaic soliton pairs in biased photovoltaic photorefractive crystals.It is shown that when the total intensity of two coupled solitons is much lower than the effective dark irradiance,the coupled soliton equations reduce to the Manakov equations.The dark-dark,bright-bright and dark-bright soliton pair solutions of these Manakov equations are obtained under an appropriate external bias field and a photovoltaic field,and the characteristics of these Manakov soliton pairs are also discussed in detail. 相似文献
6.
By developing a small amplitude soliton approximation method, we study analytically weak nonlinear excitations in cigar-shaped condensates with repulsive interatomic interaction under consideration of external perturbation potential. It is shown that matter wave solitons may exist and travel over a long distance without attenuation and change in shape by properly adjusting the strength of interatomic interaction to compensate for the effect of external perturbation potential. 相似文献
7.
The dynamics of a bright-bright vector soliton in a cigar-shaped Bose-Einstein condensate trapping in a harmonic potential is studied.The interaction between bright solitons in different species with small separation is derived.Unlike the interaction between solitons of the same species,it is independent of the phase difference between solitons.It may be of attraction or repulsion.In the former case,each soliton will oscillate about and pass through each other around the mass-center of the system,which will also oscillate harmonically due to the harmonic trapping potential. 相似文献
8.
In the biased guest-host photorefractive polymer,the Manakov equations can be used to describe the optical soliton propagation and interaction.Hereby for such equations,via the Hirota method and symbolic computation,analytic soliton solutions in the bright-dark and dark-dark forms are obtained.Based on the choice of photorefractive polymer parameter and incident-optical-beam parameter,the bright-dark and dark-dark solitons as well as their interaction can occur in the polymer when the total intensity is much lower than the background illumination,and our analysis indicates that the incident light with different polarization directions influence little on the soliton propagation.γ,representing the soliton intensity far away from the soliton center,determines the appearance of bright or dark soliton under the background illumination.Through the graphic and asymptotic analysis on the two-soliton solutions along with the different γ,we find that there exist the elastic and inelastic interactions between the bright-dark solitons,while the interactions between the dark-dark solitons are always elastic. 相似文献
9.
Dynamics of Bright/Dark Solitons in Bose--Einstein Condensates with Time-Dependent Scattering Length and External Potential
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We present an analytical study on the dynamics of bright and dark solitons in Bose-Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of the one-dimensional Gross-Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton's parameters (amplitude, width, and period) can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments. 相似文献
10.
《理论物理通讯》2015,(8)
We investigate modulational instability(MI) of a coupled two-component Bose–Einstein condensates in a rotating ring trap. The excitation spectrum and the MI condition of the system are presented analytically. We find that the coupling between the two components strongly modifies the MI condition, and the MI condition is phase-dependent.Furthermore, we discuss the effect of MI on both density excitation and spin excitation. If the inter- and intra-component interaction strengths are all equal, the MI causes density excitation but not spin excitation, and if the inter- and intracomponent interaction strengths are different, the MI causes both density excitation and spin excitation. Our results provide a promising approach for controlling the stability and excitation of a rotating two-component Bose–Einstein condensates by modulating its coupling strength and interaction strength. 相似文献
11.
Combined periodic wave and solitary wave solutions in two-component Boseben Einstein condensates
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In this paper, the Jacobi elliptic function expansion method provides an effective approach to obtain the exact periodic wave solutions of two-component Bose-Einstein condensates. Exact combined bright-bright and dark-dark soliton wave solutions can be achieved in their limit conditions. We also obtain the different formation regions of combined solitons. Our results show that the intraspecies (interspecies) interaction strengths clearly affect the formation of dark-dark, bright-bright and dark-bright soliton solutions in different regions. 相似文献
12.
We show that incoherently coupled soliton pairs can
exist in nonlocal Kerr-type nonlinear media. Such
solitons can propagate in bright--bright, dark--dark, and gray--gray
configurations. When the nonlocal nonlinearity is absent, these
bright--bright and dark--dark soliton pairs are those observed
previously in local Kerr-type nonlinear media. Our analysis
indicates that for a self-focusing nonlinearity the intensity full
width half maximum (FWHM) of the bright--bright pair components
increases with the degree of nonlocality of the nonlinear response,
whereas for a self-defocusing nonlinearity the intensity FWHM of the
dark--dark and gray--gray pair components decreases with the
increase in the degree of nonlocality of the nonlinear response. The
stability of these soliton pairs has been investigated numerically
and it has been found that they are stable. 相似文献
13.
The dynamics of nonstationary solutions in one-dimensional two-component Bose-Einstein condensates
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This paper investigates the dynamical properties of nonstationary solutions in one-dimensional two-component Bose-Einstein condensates.It gives three kinds of stationary solutions to this model and develops a general method of constructing nonstationary solutions.It obtains the unique features about general evolution and soliton evolution of nonstationary solutions in this model. 相似文献
14.
Matter-wave solutions of Bose—Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields
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We construct, through a further extension of the tanh-function method, the matter-wave solutions of Bose-Einstein condensates (BECs) with a three-body interaction. The BECs are trapped in a potential comprising the linear magnetic and the time-dependent laser fields. The exact solutions obtained include soliton solutions, such as kink and antikink as well as bright, dark, multisolitonic modulated waves. We realize that the motion and the shape of the solitary wave can be manipulated by controlling the strengths of the fields. 相似文献
15.
We present several families of exact solutions to a system of
coupled nonlinear Schr\"{o}dinger equations. The model describes a
binary mixture of two Bose--Einstein condensates in a magnetic trap
potential. Using a mapping deformation method, we find exact
periodic wave and soliton solutions, including bright and dark
soliton pairs. 相似文献
16.
Dynamics of solitons in Bose-Einstein condensate with time-dependent atomic scattering length
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The evolution of solitons in Bose--Einstein condensates (BECs)
with time-dependent
atomic scattering length in an expulsive parabolic potential is studied. Based on
the extended hyperbolic function method, we successfully obtain the bright and dark
soliton solutions. In addition, some new soliton solutions in this model are found.
The results in this paper include some in the literature ({\em Phys. Rev. Lett.}
{\bf 94} (2005) 050402 and {\em Chin. Phys. Lett.} {\bf 22} (2005) 1855). 相似文献
17.
We construct exact stationary solutions to the one-dimensional coupled Gross-Pitaevskii equations for the two-species Bose-Einstein condensates with equal intraspecies and interspecies interaction constants. Three types of complex solutions as well as their soliton limits are derived. By making use of the SU(2) unitary symmetry, we further obtain analytical time-evolving solutions. These solutions exhibit spatiotemporal periodicity. 相似文献
18.
By using the multiple-scale method, this paper analytically
studies the effect of a barrier potential on the dynamical
characteristics of the soliton in Bose--Einstein condensates. It
is shown that a stable soliton is exhibited at the top of the
barrier potential and the region of the absence of the barrier
potential. Meanwhile, it is found that the height of the barrier
potential has an important effect on the dark soliton dynamical
characteristics in the condensates. With the increase of height of
the barrier potential, the amplitude of the dark soliton becomes
smaller, its width is narrower, and the soliton propagates more slowly. 相似文献