Spikes in Poissonian quantum trajectories

We consider the dynamics of a continuously monitored qubit in the limit of strong measurement rate where the quantum trajectory is described by a stochastic master equation with Poisson noise. Such limits are expected to give rise to quantum jumps between the pointer states associated with the nondemolition measurement. A surprising discovery in earlier work [A. Tilloy et al., Phys. Rev. A 92, 052111 (2015)] on quantum trajectories with Brownian noise was the phenomena of spikes observed in-between the quantum jumps. Here, we show that spikes are observed also for Poisson noise. We consider three cases where the nondemolition is broken by adding, to the basic strong measurement dynamics, either unitary evolution or thermal noise or additional measurements. We present a complete analysis of the spike and jump statistics for all three cases using the fact that the dynamics effectively corresponds to that of stochastic resetting. We provide numerical results to support our analytic results.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2025-04-23
DOI
https://doi.org/10.1103/physreva.111.042215
Primary Topic
Diffusion and Search Dynamics
Type
article
Field-Weighted Citation Impact
0.00

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article

Spikes in Poissonian quantum trajectories

Aritra Kundu, Abhishek Dhar, Cédric Bernardin, A. Dean Sherry et al.
Physical review. A/Physical review, A
Diffusion and Search Dynamics
article

Spikes in Poissonian quantum trajectories

Aritra Kundu, Abhishek Dhar, Cédric Bernardin, A. Dean Sherry, Raphaël Chétrite
article en

Abstract

We consider the dynamics of a continuously monitored qubit in the limit of strong measurement rate where the quantum trajectory is described by a stochastic master equation with Poisson noise. Such limits are expected to give rise to quantum jumps between the pointer states associated with the nondemolition measurement. A surprising discovery in earlier work [A. Tilloy et al., Phys. Rev. A 92, 052111 (2015)] on quantum trajectories with Brownian noise was the phenomena of spikes observed in-between the quantum jumps. Here, we show that spikes are observed also for Poisson noise. We consider three cases where the nondemolition is broken by adding, to the basic strong measurement dynamics, either unitary evolution or thermal noise or additional measurements. We present a complete analysis of the spike and jump statistics for all three cases using the fact that the dynamics effectively corresponds to that of stochastic resetting. We provide numerical results to support our analytic results.

Physical review. A/Physical review, AVol. 111(4)
National Research University Higher School of Economics (RU), Tata Institute of Fundamental Research (IN), University of Luxembourg (LU), Université Côte d'Azur (FR), International Centre for Theoretical Sciences (IN), Observatoire de la Côte d’Azur (FR), Institut de Physique de Nice (FR)
Tata Institute of Fundamental Research, Department of Science and Technology, Ministry of Science and Technology, India, Department of Atomic Energy, Government of India, Agence Nationale de la Recherche, Fonds National de la Recherche Luxembourg, National Research University Higher School of Economics, Science and Engineering Research Board
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