Run-and-Tumble Dynamics and Zeno--Anti-Zeno Transition in Biased Quantum Trajectories

Fuente: arXiv
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Main Author: Kundu, Aritra
Format: Preprint
Published: 2025
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author Kundu, Aritra
author_facet Kundu, Aritra
contents We identify the transition from the oscillatory Rabi regime to the localized Zeno/Anti-Zeno regime in continuous measurement and feedback of a qubit as a quantum analogue of Motility-Induced Phase Separation (MIPS). A mapping between a biased monitored qubit and a classical ``Run-and-Tumble" active particle is studied. We demonstrate that the competition between coherent Rabi driving (analogous to active motility) and measurement-induced feedback bias (analogous to persistence) mimics the behavior of biological swimmers. This framework provides a picture of measurement-induced phase transitions using the language of active matter and offering a novel pathway for designing dissipative noisy quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2512_20519
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Run-and-Tumble Dynamics and Zeno--Anti-Zeno Transition in Biased Quantum Trajectories
Kundu, Aritra
Statistical Mechanics
Quantum Physics
We identify the transition from the oscillatory Rabi regime to the localized Zeno/Anti-Zeno regime in continuous measurement and feedback of a qubit as a quantum analogue of Motility-Induced Phase Separation (MIPS). A mapping between a biased monitored qubit and a classical ``Run-and-Tumble" active particle is studied. We demonstrate that the competition between coherent Rabi driving (analogous to active motility) and measurement-induced feedback bias (analogous to persistence) mimics the behavior of biological swimmers. This framework provides a picture of measurement-induced phase transitions using the language of active matter and offering a novel pathway for designing dissipative noisy quantum systems.
title Run-and-Tumble Dynamics and Zeno--Anti-Zeno Transition in Biased Quantum Trajectories
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2512.20519