Quantum state reduction of general initial states through spontaneous unitarity violation
arXiv:2301.03233 · doi:10.3390/e26020131
Abstract
The inability of Schrodinger's unitary time evolution to describe measurement of a quantum state remains a central foundational problem. It was recently suggested that the unitarity of Schrodinger dynamics can be spontaneously broken, resulting in measurement as an emergent phenomenon in the thermodynamic limit. Here, we introduce a family of models for spontaneous unitarity violation that apply to generic initial superpositions over arbitrarily many states, using either single or multiple state-independent stochastic components. Crucially, we show that Born's probability rule emerges spontaneously in all cases.
12 pages, 5 figures, appendices added
References in corpus (8)
- Quantum Darwinism
- Testing the limits of quantum mechanical superpositions
- Underground test of gravity-related wave function collapse
- Present status and future challenges of non-interferometric tests of collapse models
- Testing the foundations of quantum physics in space Interferometric and non-interferometric tests with Large Particles
- Partial traces in decoherence and in interpretation: What do reduced states refer to?
- An objective collapse model without state dependent stochasticity
- Phase transitions as a manifestation of spontaneous unitarity violation
Cited by in corpus (4)
- Colored noise driven unitarity violation causing dynamical quantum state reduction
- Superluminal signalling witness for quantum state reduction
- Continuous spontaneous localization as the white-noise limit of spontaneous unitarity violation
- A Resolution of the Ito-Stratonovich Debate in Quantum Stochastic Processes