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.
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• 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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