2020/06/30 by Denis V. Vasilyev, Andrey Grankin, Mikhail A. Baranov +4
Computer Science · Physics and Astronomy · #Atomic and Subatomic Physics Research #Atomic clock #Physics #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Qubit #cond-mat.dis-nn #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/prxquantum.1.020302
published as PRX Quantum 1, 020302 (2020) · 19 pages, 11 figures, accepted for publication in PRX Quantum
arxiv created 2020/09/14 · openalex publication_date 2020/10/09 · arxiv updated 2020/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss monitoring the time evolution of an analog quantum simulator via a quantum nondemolition (QND) coupling to an auxiliary "clock" qubit. The QND variable of interest is the "energy" of the quantum many-body system, represented by the Hamiltonian of the quantum simulator. We describe a physical implementation of the underlying QND Hamiltonian for Rydberg atoms trapped in tweezer arrays using laser-dressing schemes for a broad class of spin models. As an application, we discuss a quantum protocol for measuring the spectral form factor of quantum many-body systems, where the aim is to identify signatures of ergodic versus nonergodic dynamics, which we illustrate for disordered one-dimensional Heisenberg and Floquet spin models on Rydberg platforms. Our results also provide the physical ingredients for running quantum phase estimation protocols for measurement of energies and preparation of energy eigenstates for a specified spectral resolution on an analog quantum simulator.