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Quantum Simulation Open Quantum Systems Decoherence

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

arXiv
Authors: Dragomir Davidovic

Year

2025

Paper ID

6105

Status

Preprint

Abstract Read

~2 min

Abstract Words

152

Citations

N/A

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 eigenspaces on a finite timescale tP, yielding an effective zero-bias transverse $σx$ 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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Time--convolutionless (TCL) master equations can break down at long times: time-local perturbative generators develop secular growth in correlation-dominated regimes.

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