Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models

• URL: http://arxiv.org/abs/2504.13027v1
• Date: Thu, 17 Apr 2025 15:38:04 GMT
• Title: Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models
• Authors: Fumika Suzuki, Rajesh K. Malla, Nikolai A. Sinitsyn,
• Abstract summary: We discuss the progress on exactly solvable multistate Landau-Zener models from a perspective of their application to competing reactions of particle creation from a false vacuum.<n>We use an exact solution of the driven bosonic Tavis-Cummings model for two reaction pathways in order to quantify this effect, reveal a corresponding phase transition, and identify its universality class.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We discuss the progress on exactly solvable multistate Landau-Zener models from a perspective of their application to competing reactions of particle creation from a false vacuum. Such models generally predict that, even with identical initial conditions, and for nearly the same other particle parameters, a quantum coherent evolution results in a final particle distribution with significant asymmetry. We use an exact solution of the driven bosonic Tavis-Cummings model for two reaction pathways in order to quantify this effect, reveal a corresponding phase transition, and identify its universality class.

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