Generating shortcuts to adiabaticity in quantum and classical dynamics
Generating shortcuts to adiabaticity in quantum and classical dynamics
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DOI：
10.1103/physreva.88.040101
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发表时间：
2013-10-04
影响因子：
2.9
通讯作者：
Jarzynski, Christopher
中科院分区：
文献类型：
--
作者：
Jarzynski, Christopher
无跃迁量子驱动通过使用反绝热哈密顿量来抑制非绝热跃迁，从而在短时间内实现绝热演化。这里，绝热的捷径就是绝热输运的生成器。这产生了无跃迁驱动的经典模拟，并提供了一种构造量子反绝热哈密顿量的策略。作为该框架的一个应用，得到了盒子中粒子和单自由度偶幂律势的精确的经典和量子反绝热项。
Transitionless quantum driving achieves adiabatic evolution in a hurry, using a counterdiabatic Hamiltonian to stifle nonadiabatic transitions. Here this shortcut to adiabaticity is cast in terms of a generator of adiabatic transport. This yields a classical analog of transitionless driving, and provides a strategy for constructing quantal counterdiabatic Hamiltonians. As an application of this framework, exact classical and quantal counterdiabatic terms are obtained for a particle in a box and for even-power-law potentials in one degree of freedom.