Fig. 3: Investigation of the nonadiabatic effects with clockwise encircling of the EP.
From: Dynamical topology of chiral and nonreciprocal state transfers in a non-Hermitian quantum system
a, b The ratio of the critical time to the evolution time, τcrit/T, as a function of the encircling period and radius. The black curves are contour lines. c, d Fidelity changes in state transfer with varying periods and radii. The contour map and solid lines denote the simulation results, while the circles with error bars represent the experimental results obtained from the raw measured data. e, f Overlaps 〈αA(t)∣ψ(t)〉 (solid line) and 〈βA(t)∣ψ(t)〉 (dash line) with varying periods for the initial state (e) \(| {\alpha }_{A}(0)\left.\right\rangle\) and (f) \(| {\beta }_{A}(0)\left.\right\rangle\), respectively. The blue, red, and black circles correspond to T = 16.67 μs, 100 μs, and 250 μs, matching the vertical lines in (a). g--h Overlaps with varying radii for the initial state (g) \(| {\alpha }_{A}(0)\left.\right\rangle\) and (h) \(| {\beta }_{A}(0)\left.\right\rangle\), respectively. The blue, red, and black squares correspond to r = 0.003 MHz, 0.008 MHz, and 0.03 MHz, matching the vertical lines in (b). The error bars are estimated as the standard deviation (1σ) from 5 rounds of quantum state tomography experiments.
