Mean chiral displacement
WebThe analytical results of the sphere submitted to a 1 V harmonic excitation, 2000 V/m electric field, has been compared with the numerical results. Figures 13.46 to 13.48, … WebIt has been proposed that the winding number in this system can be determined through a higher-dimensional extension of the mean chiral displacement measurement, however, …
Mean chiral displacement
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WebMar 25, 2024 · (c) Evolution of the mean chiral displacement for both definitions of the unit cell. Blue circles correspond to the definition depicted in Fig. 1 . (d),(e) Momentum … WebJun 1, 2024 · We first introduce the mean chiral displacement, an observable that rapidly approaches a value proportional to the Zak phase during the free evolution of the system. …
WebJan 19, 2024 · The Bloch sphere is partitioned into regions with different topology and the boundaries separating them are home to 0 and [Math Processing Error] quasienergy edge states. We characterize the regions by comparing the mean field, quantum and mean chiral displacement versions of the winding numbers.
WebWe study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk... WebJan 24, 2024 · We present analytical calculations and numerical Matrix Product State simulations of interacting Su-Schrieffer-Heeger (SSH) chains, demonstrating how the mean chiral displacement allows to distinguish between topological insulator, trivial insulator and symmetry-broken phases.
WebMar 10, 2024 · Finally, we propose a way to dynamically probe the Floquet topological phases in our system by measuring a generalized mean chiral displacement. Our findings thus enrich the family of Floquet topological matter, and put forward the detection of their topological properties. Received 23 December 2024 Accepted 18 February 2024
WebSpecifically, we measure the mean chiral displacement of our atoms. This observable was recently introduced in the context of discrete-time photonic quantum walks ( 32 ); here we … encountered an unknown error uscisWebWe verify the winding number through measurement of the mean chiral displacement in a system with higher internal dimension, we map out the topological phase transition in this system, and we confirm the topological edge state by observation of the quench dynamics when atoms are initially prepared at the system boundary. dr bui vascular surgeon thousand oaksWebmeasure the mean chiral displacement of our atoms. This observable was recently introduced inthecontextofdiscrete-timephotonicquantum walks (32); here we measure it for continuous-time dynamics. We define the expectation value of the chiral displacement operator as C¼2hGXið4Þ given in terms of the chiral operator G and the unit cell operator ... dr buirt baker corpus christiWebMay 30, 2024 · The mean chiral displacement is defined as $$C (t) = \langle {\mathrm {\Gamma }}m\rangle ;$$ (2) which quantifies the relative shift between the projections of … encountered a sharing violation stataWebJun 1, 2024 · Indeed, the mean chiral displacement provides a robust topological characterization of arbitrary spin-1/2 1D chiral systems, either static or periodically driven. These may nowadays be realized in a variety of platforms, ranging from ultracold atoms in optical lattices to photonic waveguides and from semiconductor quantum wells to ... dr bui village family practiceWebHere we demonstrate that, in chiral 1D static and Flo-quet systems with spin 1/2 (i.e., a two-state coin), the mean chiral displacement of a particle’s wavepacket be-comes quantized and proportional to the Zak phase in the arXiv:1610.06322v2 [cond-mat.mes-hall] … encountered during initializationWebJan 16, 2024 · Summarizing, in this work we have generalized the notion of mean chiral displacement to chiral systems with any internal dimension , showing that when the winding number is encoded in the long-time limit of the trace of the mean chiral displacement … encountered error resource:eni