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arXiv · 2408.15897

Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point

Bhavay Tyagi·Fumika Suzuki·Vladimir A. Chernyak·Nikolai A. Sinitsyn
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Abstract

We propose and solve a minimal model of dynamic passage through a second-order phase transition in the presence of symmetry breaking interactions and no dissipation. Our model generalizes the Hamiltonian dynamics of the Painleve'-2 equation to the case with many degrees of freedom, while maintaining the integrability property. The evolution eventually leads to a highly asymmetric state, no matter how weak the symmetry breaking parameter of the Hamiltonian is. This suggests a potential mechanism for strong asymmetry in the production of quasi-particles with nearly identical characteristics. The model's integrability also yields exact exponents for the scaling of the density of the nonadiabatically excited quasi-particles.

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Bhavay Tyagi, Fumika Suzuki, Vladimir A. Chernyak, Nikolai A. Sinitsyn. 2024-08-28. Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point. https://doi.org/10.1103/physreva.111.032205

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