[en] 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, Phys. Rev. A 92, 052111 (2015)1050-294710.1103/PhysRevA.92.052111] 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.
Research center :
DphysMS
Disciplines :
Physics
Author, co-author :
Sherry, Alan ; International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India
Bernardin, Cedric ; Faculty of Mathematics, National Research University, Higher School of Economics, Moscow, Russian Federation
Dhar, Abhishek ; International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India
KUNDU, Aritra ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Chetrite, Raphael; Institut de Physique de Nice (INPHYNI), Université Côte d'Azur, CNRS, Nice, France
U-AGR-7239 - C22/MS/17233877/NDFluc-part UL - ARITRA Kundu
Funders :
Agence Nationale de la Recherche Department of Atomic Energy, Government of India Fonds National de la Recherche Luxembourg Department of Science and Technology, Ministry of Science and Technology, India National Research University Higher School of Economics Tata Institute of Fundamental Research
Funding number :
17132054
Funding text :
We thank M. Bauer, R. Chhaibi, and C. Pellegrini for useful discussions. This work was supported by the projects RETENU ANR-20-CE40 of the French National Research Agency (ANR). A.S. and A.D. acknowledge financial support of the Department of Atomic Energy, Government of India, under Project Identification No. RTI 4001. A.K. acknowledges financial support for Project No. NDFluc U-AGR-7239-00-C from the Luxembourg National Research Fund, Fonds National de la Recherche. A.D. acknowledges the J.C. Bose Fellowship (Grant No. JCB/2022/000014) of the Science and Engineering Research Board of the Department of Science and Technology, Government of India. A.D. and A.K. thank Laboratoire J A Dieudonn\u00E9 and INPHYNI, Nice, for supporting a visit which initiated this project. A.D. thanks the National Research University Higher School of Economics, Moscow, for supporting a visit. R.C. thanks ICTS-TIFR for supporting a visit for the completion of the project.
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