Exact solutions for the time-evolution of quantum spin systems under arbitrary waveforms using algebraic graph theory - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2022

Exact solutions for the time-evolution of quantum spin systems under arbitrary waveforms using algebraic graph theory

Abstract

A general approach is presented that offers exact analytical solutions for the time-evolution of quantum spin systems during parametric waveforms of arbitrary functions of time. The proposed method utilises the path-sum method that relies on the algebraic and combinatorial properties of walks on graphs. A full mathematical treatment of the proposed formalism is presented, accompanied by an implementation in Matlab. Using computation of the spin dynamics of monopartite, bipartite, and tripartite quantum spin systems under chirped pulses as exemplar parametric waveforms, it is demonstrated that the proposed method consistently outperforms conventional numerical methods, including ODE integrators and piecewise-constant propagator approximations.
Fichier principal
Vignette du fichier
path_sum_chirps_main.pdf (800.69 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03664442 , version 1 (11-05-2022)

Identifiers

Cite

P.-L Giscard, Mohammadali Foroozandeh. Exact solutions for the time-evolution of quantum spin systems under arbitrary waveforms using algebraic graph theory. 2022. ⟨hal-03664442⟩
34 View
127 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More