Adiabatic evolution of decoherence-free subspaces and its shortcuts
Adiabatic evolution of decoherence-free subspaces and its shortcuts
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无退相干子空间的绝热演化及其捷径
DOI：
10.1103/physreva.96.042104
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发表时间：
2017
影响因子：
2.9
通讯作者：
Yi X. X.
中科院分区：
文献类型：
--
作者：
Wu S. L.;Huang X. L.;Li H.;Yi X. X.
本文讨论含时开放量子系统的绝热定理和绝热性的捷径。从动力学稳定的无消相干子空间的定义出发，证明了在紧致绝热条件下，即使开放量子系统的动力学可能不是绝热的，量子态仍保持在含时的无消相干子空间中，并具有极高的纯度.在开放系统的绝热定理中，这里提到的绝热条件与封闭量子系统的绝热条件非常相似，只是需要缓慢变化的算符是Lindblad算符。我们还证明了无消相干子空间的绝热演化依赖于瞬时无消相干子空间的存在，这就要求开放量子系统的哈密顿量必须根据非相干控制协议进行设计。此外，基于无跃迁量子驱动方法，给出了绝热消相干子空间绝热性的简化方法。最后，我们给出了一个耦合到宽带压缩真空场的二能级系统的例子来说明我们的理论。我们的方法采用马尔可夫主方程和理论可以适用于有限维量子开放系统。
The adiabatic theorem and shortcuts to adiabaticity for time-dependent open quantum systems are explored in this paper. Starting from the definition of dynamical stable decoherence-free subspace, we show that, under a compact adiabatic condition, the quantum state remains in the time-dependent decoherence-free subspace with an extremely high purity, even though the dynamics of the open quantum system may not be adiabatic. The adiabatic condition mentioned here in the adiabatic theorem for open systems is very similar to that for closed quantum systems, except that the operators required to change slowly are the Lindblad operators. We also show that the adiabatic evolution of decoherence-free subspaces depends on the existence of instantaneous decoherence-free subspaces, which requires that the Hamiltonian of open quantum systems be engineered according to the incoherent control protocol. In addition, shortcuts to adiabaticity for adiabatic decoherence-free subspaces are also presented based on the transitionless quantum driving method. Finally, we provide an example that consists of a two-level system coupled to a broadband squeezed vacuum field to show our theory. Our approach employs Markovian master equations and the theory can apply to finite-dimensional quantum open systems.