Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
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DOI：
10.1103/physrevx.10.031002
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发表时间：
2020-07-02
影响因子：
12.5
通讯作者：
Lukin, Mikhail D.
中科院分区：
文献类型：
--
作者：
Choi, Joonhee;Zhou, Hengyun;Lukin, Mikhail D.
介绍了强相互作用多体系统量子动力学鲁棒控制的一种新方法。我们的方法涉及周期性的全局控制脉冲序列的设计，工程师所需的目标哈密尔顿是强大的对无序，不必要的相互作用，和脉冲的缺陷。它利用了一个矩阵表示的哈密顿工程协议的基础上的时域变换的泡利自旋算子沿着的量化轴。这种表示使我们能够推导出一组简洁的代数条件的序列矩阵工程师强大的目标哈密尔顿，使简单而系统的设计脉冲序列。我们表明，这种方法提供了一个有效的框架（i）处理任何长期的多体哈密顿量和工程师它成一个所需的形式，（ii）目标的主导障碍和相互作用特性的一个给定的系统，（iii）实现鲁棒性对缺陷，（iv）提供最佳的序列长度在给定的约束条件下，（v）大大加快脉冲序列的数值搜索。使用这种系统的方法，我们开发了一套新的脉冲序列的保护量子相干性，最佳的量子传感和量子模拟。最后，我们通过实验证明了这些序列在具有最一般交互形式的系统中的鲁棒操作。
We introduce a new approach for the robust control of quantum dynamics of strongly interacting many-body systems. Our approach involves the design of periodic global control pulse sequences to engineer desired target Hamiltonians that are robust against disorder, unwanted interactions, and pulse imperfections. It utilizes a matrix representation of the Hamiltonian engineering protocol based on time-domain transformations of the Pauli spin operator along the quantization axis. This representation allows us to derive a concise set of algebraic conditions on the sequence matrix to engineer robust target Hamiltonians, enabling the simple yet systematic design of pulse sequences. We show that this approach provides an efficient framework to (i) treat any secular many-body Hamiltonian and engineer it into a desired form, (ii) target dominant disorder and interaction characteristics of a given system, (iii) achieve robustness against imperfections, (iv) provide optimal sequence length within given constraints, and (v) substantially accelerate numerical searches of pulse sequences. Using this systematic approach, we develop novel sets of pulse sequences for the protection of quantum coherence, optimal quantum sensing, and quantum simulation. Finally, we experimentally demonstrate the robust operation of these sequences in a system with the most general interaction form.