Engineering relaxation spectra via feature-conditioned disorder in a transverse-field Ising model
Phys. Rev. Applied 25, 054006 – Published 4 May, 2026
DOI: https://doi.org/10.1103/mtz6-fs2n
Abstract
We investigate how feature-space dimensionality reshapes relaxation and correlation structure in a transverse-field Ising model with feature-conditioned, ferromagnetically biased bond disorder, analyzed via its anisotropic (two plus one)-dimensional classical counterpart. Using Suzuki–Trotter simulations of the mapped classical system, we study imaginary-time autocorrelators, coarse equal-time spatial summaries, and eigenvalue spectra of equal-time correlation matrices. Each spin is assigned a -component feature vector, and a similarity scale controls how feature differences bias the distribution of bond signs. Increasing homogenizes pairwise feature distances and, together with , tunes bond-sign heterogeneity within this positively biased ensemble. We find a systematic dynamical crossover from short- transients at low to multistep relaxation with long-lived plateaus at higher , accompanied by a compression of equal-time correlation weight into fewer dominant spatial modes. Feature-conditioned disorder thus provides a controlled framework for studying how correlated disorder reshapes relaxation spectra in disordered Ising networks, with potential relevance to programmable Ising hardware.