Ordering controlled by the measurement-feedback interval in quantum Boltzmann samplers
Abstract
We show that the measurement--feedback interval alone can induce ordering in a quantum Boltzmann sampler with fixed programmed couplings and a fixed local dissipative rule. At zero environmental dephasing, repeated projective measurements remove transverse coherence regenerated during relaxation, thereby enhancing the local longitudinal response. We derive the exact finite-interval Markov kernel for successive measurement records and obtain the ordering threshold in the Curie--Weiss limit. For couplings below the equilibrium Curie--Weiss threshold, shortening the readout interval drives a continuous transition to an ordered stationary state even though the programmed Boltzmann distribution remains disordered. The stationary response and equation of state map exactly onto those of a continuously interacting model with dephasing, while the linear relaxation rates remain distinct at matched static response. Exact finite-size stationary calculations reveal the transition through bimodal magnetization distributions and mean-field critical scaling.
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BibTeX
@misc{wang2026ordering,
title = {{Ordering controlled by the measurement-feedback interval in quantum Boltzmann samplers}},
author = {Peng Wang and Yu-Xuan Zhang and Hai-Tao Ding and Leong-Chuan Kwek},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36836},
eprint = {2609.36836},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36836},
}
RIS
TY - UNPB
TI - Ordering controlled by the measurement-feedback interval in quantum Boltzmann samplers
AU - Peng Wang
AU - Yu-Xuan Zhang
AU - Hai-Tao Ding
AU - Leong-Chuan Kwek
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.36836
UR - https://arxiv.org/abs/2609.36836
AB - We show that the measurement--feedback interval alone can induce ordering in a quantum Boltzmann sampler with fixed programmed couplings and a fixed local dissipative rule. At zero environmental dephasing, repeated projective measurements remove transverse coherence regenerated during relaxation, thereby enhancing the local longitudinal response. We derive the exact finite-interval Markov kernel for successive measurement records and obtain the ordering threshold in the Curie--Weiss limit. For couplings below the equilibrium Curie--Weiss threshold, shortening the readout interval drives a continuous transition to an ordered stationary state even though the programmed Boltzmann distribution remains disordered. The stationary response and equation of state map exactly onto those of a continuously interacting model with dephasing, while the linear relaxation rates remain distinct at matched static response. Exact finite-size stationary calculations reveal the transition through bimodal magnetization distributions and mean-field critical scaling.
ER -