Decay Rates in Attractive Bose-Einstein Condensates
Decay Rates in Attractive Bose-Einstein Condensates
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DOI：
10.1103/physrevlett.82.1616
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发表时间：
1999-02
影响因子：
8.6
通讯作者：
C. Huepe;S. Métens;G. Dewel;P. Borckmans;M. Brachet
中科院分区：
文献类型：
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作者：
C. Huepe;S. Métens;G. Dewel;P. Borckmans;M. Brachet
用数值延拓方法研究了吸引玻色-爱因斯坦凝聚的Gross-Pitaevskii方程的定态解。分支的稳定（椭圆）和不稳定（双曲）的解决方案，发现满足在一个临界粒子数通过通用的哈密顿鞍结分岔。对应于宏观量子隧穿，两个和三个身体非弹性碰撞，和热诱导崩溃的凝聚衰变率计算从精确的数值解。这些比率与先前公布的比率在实验上显示出显著差异。从分歧的通用标度律。[S0031-9007（99）08550-6]
Attractive Bose-Einstein condensates are investigated with numerical continuation methods capturing stationary solutions of the Gross-Pitaevskii equation. The branches of stable (elliptic) and unstable (hyperbolic) solutions are found to meet at a critical particle number through a generic Hamiltonian saddle node bifurcation. The condensate decay rates corresponding to macroscopic quantum tunneling, two and three body inelastic collisions, and thermally induced collapse are computed from the exact numerical solutions. These rates show experimentally significant differences with previously published rates. Universal scaling laws stemming from the bifurcation are derived. [S0031-9007(99)08550-6]