Time-dependent Hamiltonian estimation for Doppler velocimetry of trapped ions

摘要: The time evolution of a closed quantum system is connected to its Hamiltonian through Schroedinger's equation. ability estimate the critical our understanding systems, and allows optimization control. Though spectroscopic methods allow time-independent Hamiltonians be recovered, for time-dependent this task more challenging. Here, using single trapped ion, we experimentally demonstrate method estimating qubit. involves measuring qubit in fixed basis as function offset term added Hamiltonian. In initially unknown arises from transporting an ion static, near-resonant laser beam. estimation us spatial dependence beam intensity ion's velocity time. This work direct value optimizing transport operations transport-based gates scalable information processing, while technique general enough that it can applied other aiding pursuit high operational fidelities