Title: Asymmetry Amplification by a Phase Transition 

Abstract: I will introduce a likely-overlooked effect of ``asymmetry amplification” in dynamics of similar particles during a passage through a phase transition. I will describe a minimal model that demonstrates this effect. The exact solution of the model is achieved by finding a solvable generalization of the Painleve-2 equation – the special function of the 21st century – to more than one degree of freedom. The model’s integrability also leads to exact exponents for the scaling, with the transition rate, of the number of the produced nonadiabatic excitations, such as Higgs and Goldstone bosons. 

References: 

1. R. Malla, V. Y Chernayk, C. Sun, and N. A. Sinitsyn. Coherent reaction between molecular and atomic Bose-Einstein condensates: Integrable model. Phys. Rev. Lett. 129 (3), 033201 (2022). 

2. V. G. Sadhasivam, F. Suzuki, B. Yan, and N. A. Sinitsyn. Parametric tuning of quantum phase transitions in ultracold reactions. Nature Comm. 15, 10246 (2024). 

3. B. Tyagi, F. Suzuki, V. A. Chernyak, and N. A. Sinitsyn. Asymmetry Amplification