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arXiv 0908.1483quant-ph
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原子非绝热膨胀冷却

Atom cooling by non-adiabatic expansion

Xi Chen, J. G. Muga, A. del Campo, A. Ruschhaupt

摘要:

最近的发现,一个反射墙移动的时间轨迹的平方根的行为作为一个通用的经典粒子的停止器,无论他们的初始速度的动机,我们比较线性的时间和平方根的时间膨胀的盒子,以实现有效的原子冷却。对于所研究的量子单原子波函数,时间平方根展开具有重要的优点:渐近地,它导致平均能量为零,而任何时间线性(恒定的盒壁速度)展开都会留下非零的剩余能量,除非在无限慢的极限展开。对于有限的最终时间和盒长度,我们设置了许多界限和冷却原则,这再次证实了平方根在时间扩展中的优越性能,对于增加初始状态的激发甚至更清楚。对于线性膨胀的冷却,绝热性的破坏通常是致命的,但对于平方根膨胀的冷却,绝热性的破坏则不是致命的。

英文摘要:

Motivated by the recent discovery that a reflecting wall moving with a square-root in time trajectory behaves as a universal stopper of classical particles regardless of their initial velocities, we compare linear in time and square-root in time expansions of a box to achieve efficient atom cooling. For the quantum single-atom wavefunctions studied the square-root in time expansion presents important advantages: asymptotically it leads to zero average energy whereas any linear in time (constant box-wall velocity) expansion leaves a non-zero residual energy, except in the limit of an infinitely slow expansion. For finite final times and box lengths we set a number of bounds and cooling principles which again confirm the superior performance of the square-root in time expansion, even more clearly for increasing excitation of the initial state. Breakdown of adiabaticity is generally fatal for cooling with the linear expansion but not so with the square-root expansion.

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