School of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom.
Phys Rev Lett. 2010 May 14;104(19):194102. doi: 10.1103/PhysRevLett.104.194102. Epub 2010 May 12.
We numerically study the imprinting and dynamics of dark solitons in a bosonic atomic gas in a tightly confined one-dimensional harmonic trap both with and without an optical lattice. Quantum and thermal fluctuations are synthesized within the truncated Wigner approximation in the quasicondensate description. We track the soliton coordinates and calculate position and velocity uncertainties. We find that the phase fluctuations lower the classically predicted soliton speed and seed instabilities. Individual runs show interactions of solitons with sound waves, splitting, and disappearing solitons.
我们通过数值方法研究了在一维强约束谐振子势阱中具有和不具有光晶格的玻色原子气体中暗孤子的印迹和动力学。在准凝聚物描述中，截断维格纳近似内综合了量子和热涨落。我们跟踪孤子的坐标并计算位置和速度的不确定度。我们发现，相位涨落降低了经典预测孤子速度并引发不稳定性。单个运行轨迹显示了孤子与声波的相互作用、分裂和孤子的消失。
