论文标题
具有时间依赖性驱动的两级系统的精确量子动力学
Exact quantum dynamics for two-level systems with time-dependent driving
论文作者
论文摘要
众所周知，即使在非常罕见的情况下，即使对于两级量子系统，时间依赖性的schrödinger方程才能完全解决。因此，在时间依赖性的哈密顿量下找到确切的量子动力学不仅在量子物理学中至关重要，而且还可以促进主动量子操作以进行量子信息处理。在这里，我们提出了一种方法，该方法可以生成几乎无限数量的schrödinger方程的分析辅助解决方案，用于乘以时驾驶的量子。该分析辅助解决方案具有仅具有边界限制的自由参数，因此可以在精确的量子操作中找到许多应用。由于我们计划中时间依赖性的哈密顿量的一般形式，因此可以在各种实验的Qubits设置中很容易实施。因此，我们的方案为Schrödinger方程提供了新的解决方案，因此提供了一种基于替代的QUATISE QUATINE的替代性和分析的例程。
It is well-known that time-dependent Schrödinger equation can only be exactly solvable in very rare cases, even for two-level quantum systems. Therefore, finding exact quantum dynamics under time-dependent Hamiltonian is not only of fundamental importance in quantum physics but also can facilitate active quantum manipulations for quantum information processing. Here, we present a method which could generate a near infinite number of analytical-assisted solutions of the Schrödinger equation for a qubit with time-dependent driving. This analytical-assisted solution has free parameters with only boundary restrictions, and thus can find many applications in precise quantum manipulations. Due to the general form of the time-dependent Hamiltonian in our scheme, it can be readily implemented in various experimental setups of qubits. Therefore, our scheme provides new solutions for Schrödinger equation, thus provides an alternative and analytical-based routine for precise control over qubits.
