Title: Reverse engineering of a Hamiltonian by designing the evolution operators Show Chinese title

Title: 通过设计演化算子反向工程哈密顿量

Abstract: We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum driving (TQD) [31], the present scheme is focus on only one or parts of moving states in a D-dimension (D > 3) system. The numerical simulation shows that the present scheme not only contains the results of TQD, but also has more free parameters, which make this scheme more flexible. An example is given by using this scheme to realize the population transfer for a Rydberg atom. The influences of various decoherence processes are discussed by numerical simulation and the result shows that the scheme is fast and robust against the decoherence and operational imperfection. Therefore, this scheme may be used to construct a Hamiltonian which can be realized in experiments Show Chinese abstract

Abstract: 我们提出了一种有效且灵活的方案，用于通过设计演化算符来消除在实际中难以实现的哈密顿量项，从而进行哈密顿量的逆向工程。与无跃迁量子驱动（TQD）[31]不同，该方案仅关注于一个或部分移动状态在D维（D > 3）系统中。数值模拟显示，该方案不仅包含TQD的结果，还具有更多的自由参数，使得该方案更加灵活。通过使用该方案实现里德伯原子的态转移给出了一个例子。通过数值模拟讨论了各种退相干过程的影响，结果表明该方案对退相干和操作不完善具有快速且鲁棒的特性。因此，该方案可能用于构建可以在实验中实现的哈密顿量。