Real-time dynamics of optical controlling for bound states of mode-locked fiber laser with short-range interaction

2022 ◽  
Vol 149 ◽  
pp. 107859
Zhenghu Chang ◽  
Lingdi Kong ◽  
Yulong Cao ◽  
Ai Liu ◽  
Ziwei Li ◽  
1978 ◽  
Vol 56 (1) ◽  
pp. 139-148 ◽  
Yoshitake Yamazaki

Critical behaviors in quenched random-spin systems with N-spin component are studied in the limit M → 0 of the non-random MN-component models by means of the renormalization group theory. As the static critical phenomena the stability of the fixed points is investigated and the critical exponents η[~ O(ε3); ε ≡ 4 – d], γ, α, and crossover index [Formula: see text] and the equation of state [~ O(ε)] are obtained. Within the approximation up to the order ε2, even the random-spin systems with N = 2 or 3 are unstable in the three dimensions and the pure systems are stable there.

2018 ◽  
Vol 173 ◽  
pp. 06008 ◽  
Eugene A. Koval ◽  
Oksana A. Koval

We report numerical investigation of the short range interaction influence on the two-dimensional quantum scattering of two dipoles. The model simulates two ultracold polar molecules collisions in two spatial dimensions. The used algorithm allows us to quantitatively analyse the scattering of two polarized dipoles with account for strongly anisotropic nature of dipolar interaction. The strong dependence of the scattering total cross section on the short range interaction radius was discovered for threshold collision energies. We also discuss differences of calculated scattering cross section dependencies for different polarisation axis tilt angles.

2001 ◽  
pp. 348-349
Michel Marraud ◽  
Christine Hemmerlin ◽  
Claude Didierjean ◽  
André Aubry ◽  
Vincent Semetey ◽  

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