Generalized hydrodynamics of the attractive non-linear Schrӧdinger equation
Generalized hydrodynamics of the attractive non-linear Schrӧdinger equation
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DOI：
10.1088/1751-8121/ac53c3
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发表时间：
2021-10
期刊：
影响因子：
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通讯作者：
Rebekka Koch;J. Caux;Alvise Bastianello
中科院分区：
文献类型：
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作者：
Rebekka Koch;J. Caux;Alvise Bastianello
研究了一维经典非线性薛定谔方程在吸引相中的广义流体力学。因此，我们表明，热力学极限完全捕获的孤子模式和辐射是不存在的。我们的结果是通过考虑量子玻色气体的半经典极限而得出的，其中普朗克常数作为经典孤子气体的调节器具有关键作用。我们用我们的结果来研究绝热相互作用的变化，从排斥到吸引相，观察孤子的产生，并获得精确的分析结果，这是非常符合Monte Carlo模拟。
We study the generalized hydrodynamics of the one-dimensional classical non linear Schrӧdinger equation in the attractive phase. We thereby show that the thermodynamic limit is entirely captured by solitonic modes and radiation is absent. Our results are derived by considering the semiclassical limit of the quantum Bose gas, where the Planck constant has a key role as a regulator of the classical soliton gas. We use our result to study adiabatic interaction changes from the repulsive to the attractive phase, observing soliton production and obtaining exact analytical results which are in excellent agreement with Monte Carlo simulations.