Nonlinear resonance phenomenon of one-dimensional Bose—Einstein condensate under periodic modulation

Liu, Shixing

doi:10.1088/1674-1056/23/2/020309

Cited by 4 publications

(3 citation statements)

References 22 publications

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“…The reduced size of the device can improve the utilization rate of the chip area, but also the higher performance of the device is required, and the silicon epitaxial material is selected to make optoelectronic devices with higher performance. For example, the epitaxial InP material on silicon substrate is used to fabricate laser [6], the epitaxial Ge material is used to make detector [7], the epitaxial SiGe material is used to fabricate modulator [8], and so forth. In optoelectronic integration, the electro-optic modulator is a very important device, which is responsible for the conversion of optical signals and electrical signals [9,10].…”

Section: Introductionmentioning

confidence: 99%

Research on a Micro-Nano Si/SiGe/Si Double Heterojunction Electro-Optic Modulation Structure

Feng

Xue

2018

Advances in Condensed Matter Physics

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The electro-optic modulator is a very important device in silicon photonics, which is responsible for the conversion of optical signals and electrical signals. For the electro-optic modulator, the carrier density of waveguide region is one of the key parameters. The traditional method of increasing carrier density is to increase the external modulation voltage, but this way will increase the modulation loss and also is not conducive to photonics integration. This paper presents a micro-nano Si/SiGe/Si double heterojunction electro-optic modulation structure. Based on the band theory of single heterojunction, the barrier heights are quantitatively calculated, and the carrier concentrations of heterojunction barrier are analyzed. The band and carrier injection characteristics of the double heterostructure structure are simulated, respectively, and the correctness of the theoretical analysis is demonstrated. The micro-nano Si/SiGe/Si double heterojunction electro-optic modulation is designed and tested, and comparison of testing results between the micro-nano Si/SiGe/Si double heterojunction micro-ring electro-optic modulation and the micro-nano Silicon-On-Insulator (SOI) micro-ring electro-optic modulation, Free Spectrum Range, 3 dB Bandwidth, Q value, extinction ratio, and other parameters of the micro-nano Si/SiGe/Si double heterojunction micro-ring electro-optic modulation are better than others, and the modulation voltage and the modulation loss are lower.

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Section: Introductionmentioning

confidence: 99%

Research on a Micro-Nano Si/SiGe/Si Double Heterojunction Electro-Optic Modulation Structure

Feng

Xue

2018

Advances in Condensed Matter Physics

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“…Recently, the symplectic method was developed to solve the Hamiltonian system, and it is superior to the nonsymplectic ones, especially for many-step and longtime computation. [11][12][13] Up to now, it has been applied to many fields, such as the quantum mechanics, [14] molecular dynamics, [15] Bose-Einstein condensates, [16][17][18][19][20] solar system dynamics, and general relativity. [21][22][23][24][25] A fourth-order, threestage, symplectic integrator with small numerical error has been used, and a method of fast Lyapunov indicator has been applied in studying the dynamics of the system.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of cubic–quintic nonlinear Schrödinger equation with different parameters

Liu

2016

Chinese Phys. B

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We study the dynamics of the cubic-quintic nonlinear Schrödinger equation by the symplectic method. The behaviors of the equation are discussed with harmonically modulated initial conditions, and the contributions from the quintic term are discussed. We observe the elliptic orbit, homoclinic orbit crossing, quasirecurrence, and stochastic motion with different nonlinear parameters in this system. Numerical simulations show that the changing processes of the motion of the system and the trajectories in the phase space are various for different cubic nonlinear parameters with the increase of the quintic nonlinear parameter.

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“…[22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] In general, the system parameters and variables involved in the diffusion processes are considered to be crisp or defined exactly. Other authors [37][38][39][40][41][42][43][44][45][46][47][48][49][50] have also investigated some application problems with crisp variables and parameters. But in actual practice, rather than the particular value, only uncertain or vague estimates about the variables and parameters are known, because those are found in general by some observations and experiments.…”

Section: Introductionmentioning

confidence: 99%

Non-probabilistic solutions of imprecisely defined fractional-order diffusion equations

Chakraverty¹,

Tapaswini²

2014

Chinese Phys. B

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The fractional diffusion equation is one of the most important partial differential equations (PDEs) to model problems in mathematical physics. These PDEs are more practical when those are combined with uncertainties. Accordingly, this paper investigates the numerical solution of a non-probabilistic viz. fuzzy fractional-order diffusion equation subjected to various external forces. A fuzzy diffusion equation having fractional order 0 < α ≤ 1 with fuzzy initial condition is taken into consideration. Fuzziness appearing in the initial conditions is modelled through convex normalized triangular and Gaussian fuzzy numbers. A new computational technique is proposed based on double parametric form of fuzzy numbers to handle the fuzzy fractional diffusion equation. Using the single parametric form of fuzzy numbers, the original fuzzy diffusion equation is converted first into an interval-based fuzzy differential equation. Next, this equation is transformed into crisp form by using the proposed double parametric form of fuzzy numbers. Finally, the same is solved by Adomian decomposition method (ADM) symbolically to obtain the uncertain bounds of the solution. Computed results are depicted in terms of plots. Results obtained by the proposed method are compared with the existing results in special cases.

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Nonlinear resonance phenomenon of one-dimensional Bose—Einstein condensate under periodic modulation

Cited by 4 publications

References 22 publications

Research on a Micro-Nano Si/SiGe/Si Double Heterojunction Electro-Optic Modulation Structure

Research on a Micro-Nano Si/SiGe/Si Double Heterojunction Electro-Optic Modulation Structure

Dynamics of cubic–quintic nonlinear Schrödinger equation with different parameters

Non-probabilistic solutions of imprecisely defined fractional-order diffusion equations

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