Spontaneous localisation from a coarse-grained deterministic and
non-unitary dynamics
- URL: http://arxiv.org/abs/2305.06706v3
- Date: Sat, 21 Oct 2023 10:52:52 GMT
- Title: Spontaneous localisation from a coarse-grained deterministic and
non-unitary dynamics
- Authors: Kartik Kakade, Avnish Singh and Tejinder P. Singh
- Abstract summary: Collapse of the wave function appears to violate the quantum superposition principle as well as deterministic evolution.
Objective collapse models propose a dynamical explanation for this phenomenon, by making a non-unitary and norm-preserving modification to the Schr"odinger equation.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Collapse of the wave function appears to violate the quantum superposition
principle as well as deterministic evolution. Objective collapse models propose
a dynamical explanation for this phenomenon, by making a stochastic non-unitary
and norm-preserving modification to the Schr\"odinger equation. In the present
article we ask how a quantum system evolves under a {\it deterministic} and
non-unitary but norm-preserving evolution? We show using a simple two-qubit
model that under suitable conditions, quantum linear superposition is broken,
with the system predictably driven to one or the other alternatives. If this
deterministic dynamics is coarse-grained and observed over a lower time
resolution, the outcomes appear random while obeying the Born probability rule.
Our analysis hence throws light on the distinct roles of non-unitarity and of
stochasticity in objective collapse models.
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