English

Regulated reconstruction of long-time spin--boson dynamics and emergent zero-bias transverse measurement primitive

Quantum Physics 2026-03-31 v2

Abstract

Time--convolutionless (TCL) master equations can break down at long times: time-local perturbative generators develop secular growth in correlation-dominated regimes. We mitigate this by a regulated, partially resummed reconstruction of the dynamical map around a Davies reference semigroup, expressed through a non--Markovian density-matrix correlator C(t) that remains bounded at late times. An exactly solvable rotating-wave benchmark links generator growth to interference-induced near-zeros of the coherence and shows how the reconstruction regulates the map. Applying the method to the unbiased spin--boson model reveals an emergent transverse measurement primitive: bath memory and counter--rotating terms induce phase lock-in that irreversibly erases the relative phase between σx\sigma_x eigenspaces on a finite timescale tPt_P, yielding an effective zero-bias transverse (σx\sigma_x) measurement channel. The selected transverse basis is not assumed a priori; it follows from the reconstructed reduced dynamics. The effect disappears in the rotating-wave approximation and in the Davies weak-coupling limit, demonstrating its non--Markovian interference origin.

Keywords

Cite

@article{arxiv.2512.13900,
  title  = {Regulated reconstruction of long-time spin--boson dynamics and emergent zero-bias transverse measurement primitive},
  author = {Dragomir Davidovic},
  journal= {arXiv preprint arXiv:2512.13900},
  year   = {2026}
}

Comments

Withdrawn by the author due to major revision