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Entanglement and collective flavor oscillations in a dense neutrino gas
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We investigate the importance of going beyond the mean-field approximation in the dynamics of collective neutrino oscillations. To expand our understanding of the coherent neutrino oscillation problem, we apply concepts from many-body physics and quantum information theory. Specifically, we use measures of nontrivial correlations (otherwise known as "entanglement") between the constituent neutrinos of the many-body system, such as the entanglement entropy and the Bloch vector of the reduced density matrix. The relevance of going beyond the mean field is demonstrated by comparisons between the evolution of the neutrino state in the many-body picture vs the mean-field limit, for different initial conditions.
Forward citations
Cited by 6 Pith papers
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A second-order BBGKY closure reproduces exact small-system neutrino dynamics about two orders of magnitude better than mean-field at polynomial cost, and predicts correlated large-N behavior.
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Many-body neutrino calculations in simple momentum-state configurations yield helicity conversion probabilities orders of magnitude above mean-field results due to momentum exchange.
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New algorithms based on Dicke states enable qubit-efficient quantum simulations of collective neutrino oscillations with demonstrated performance on classical and quantum hardware.
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The abstract claims a singular-perturbation limit theorem for second-order Hamilton-Jacobi equations on the Wasserstein space, but the submitted full text does not contain that paper.
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