Burgarth Daniel, Ajoy Ashok
Institute of Mathematics, Physics and Computer Science, Aberystwyth University, Aberystwyth SY23 3BZ, United Kingdom.
Department of Chemistry, University of California Berkeley, and Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.
Phys Rev Lett. 2017 Jul 21;119(3):030402. doi: 10.1103/PhysRevLett.119.030402.
We provide a protocol for Hamiltonian parameter estimation which relies only on the Zeeman effect. No time-dependent quantities need to be measured; it fully suffices to observe spectral shifts induced by fields applied to local "markers." We demonstrate the idea with a simple tight-binding Hamiltonian and numerically show stability with respect to Gaussian noise on the spectral measurements. Then we generalize the result to show applicability to a wide range of systems, including quantum spin chains, networks of qubits, and coupled harmonic oscillators, and suggest potential experimental implementations.
我们提供了一种仅依赖于塞曼效应的哈密顿量参数估计协议。无需测量随时间变化的量；只需观察施加到局部“标记”上的场引起的光谱位移即可。我们用一个简单的紧束缚哈密顿量演示了这一想法，并通过数值计算表明了光谱测量对高斯噪声的稳定性。然后，我们推广了该结果，以表明其适用于广泛的系统，包括量子自旋链、量子比特网络和耦合谐振子，并提出了潜在的实验实现方案。
