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.

arXiv:2609.36836 [quant-ph]

(or arXiv:2609.36836v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.36836 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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