Error bounds for constrained dynamics in gapped quantum systems: Rigorous results and generalizations
Phys. Rev. A 101, 052122 – Published 27 May, 2020
DOI: https://doi.org/10.1103/PhysRevA.101.052122
Abstract
In the accompanying letter [Gong et al., Phys. Rev. Lett. 124, 210606 (2020)], we introduced a universal error bound for constrained unitary dynamics within a well-gapped energy band of an isolated quantum system. Here, we provide the full details on the derivation of the bound. In addition, we generalize the result to isolated quantum many-body systems by employing the local Schrieffer-Wolff transformation, obtaining an error bound that grows polynomially in time. We also generalize the result to Markovian open quantum systems and quantitatively explain the quantum Zeno effect.
Physics Subject Headings (PhySH)
See Also
Universal Error Bound for Constrained Quantum Dynamics
Phys. Rev. Lett. 124, 210606 (2020)
