Quantum resetting in continuous measurement induced dynamics of a qubit
- URL: http://arxiv.org/abs/2210.15188v2
- Date: Mon, 10 Apr 2023 18:52:43 GMT
- Title: Quantum resetting in continuous measurement induced dynamics of a qubit
- Authors: Varun Dubey, Raphael Chetrite, Abhishek Dhar
- Abstract summary: We study the evolution of a two-state system that is monitored continuously but with interactions with the detector tuned so as to avoid the Zeno affect.
The post-interaction probe states are measured and this leads to an evolution of the system's state vector.
As a spin-off we obtain, for a general resetting process with diffusion, drift and position dependent jump rates, an exact and general solution for the evolution of the probability distribution.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the evolution of a two-state system that is monitored continuously
but with interactions with the detector tuned so as to avoid the Zeno affect.
The system is allowed to interact with a sequence of prepared probes. The
post-interaction probe states are measured and this leads to a stochastic
evolution of the system's state vector, which can be described by a single
angle variable. The system's effective evolution consists of a deterministic
drift and a stochastic resetting to a fixed state at a rate that depends on the
instantaneous state vector. The detector readout is a counting process. We
obtain analytic results for the distribution of number of detector events and
the time-evolution of the probability distribution. Earlier work on this model
found transitions in the form of the steady state on increasing the measurement
rate. Here we study transitions seen in the dynamics. As a spin-off we obtain,
for a general stochastic resetting process with diffusion, drift and position
dependent jump rates, an exact and general solution for the evolution of the
probability distribution.
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