Quench-induced dynamical topology under dynamical noise

Equilibrium topological phases are robust against weak static disorder but may break down in the strong-disorder regime. Here we propose to explore how quench-induced emergent dynamical topology evolves under noise and uncover novel physics beyond equilibrium counterparts. We develop an analytic theory show that for noise, quantum dynamics induced by quenching initial trivial phase Chern insulating regime exhibits on certain momentum subspaces called band-inversion surfaces (BISs). The is protected minimal oscillation frequency over BISs, mimicking a bulk gap of phase. Two types transitions classified distinct exceptional points or rings predicted if increasing critical strength, with being exactly obtained. At BISs vanishes, manifesting bulk-gap closing, which breaks down. Interestingly, predict sweet spot region transition, survives surprisingly at arbitrarily strong This work unveils universal can be probed control experiment.Received 15 May 2020Accepted 23 February 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013229Published American Physical Society terms Creative Commons Attribution 4.0 International license. Further distribution this must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasOpen systemsQuantum quenchSynthetic gauge fieldsTopological matterAtomic, Molecular & OpticalCondensed Matter, Materials Applied Physics