Run and Tumble Dynamics of Biased Quantum Trajectories in a Monitored Qubit

• URL: http://arxiv.org/abs/2512.20519v1
• Date: Tue, 23 Dec 2025 17:07:17 GMT
• Title: Run and Tumble Dynamics of Biased Quantum Trajectories in a Monitored Qubit
• Authors: Aritra Kundu,
• Abstract summary: We map the dynamics of a classical persistent Run-and-Tumble Particle (p-RTP) in a bounded one-dimensional domain.<n>The competition between the coherent Rabi drive and the measurement-induced feedback leads to a rich NESS phase.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We investigate the active stochastic dynamics of a qubit subjected to continuous measurement and conditional feedback. The stochastic equation governing the state vector trajectory of the qubit can be mapped, in the high-diffusion limit, to the dynamics of a classical persistent Run-and-Tumble Particle (p-RTP) in a bounded one-dimensional domain. The mapping enables us to use analytical results from classical active matter to derive an approximate non-equilibrium steady-state (NESS) distribution for the monitored quantum system. The competition between the coherent Rabi drive and the measurement-induced feedback leads to a rich NESS phase displaying Zeno--anti-Zeno transition--which is statistically equivalent to the propulsion-induced trapping observed in confined active particles.

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