Work

Asymmetry amplification by a nonadiabatic passage through a critical point

Year: 2025

Type: article

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 Painlev\'e-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 quasiparticles with nearly identical characteristics. The model's integrability also yields exact exponents for the scaling of the density of the nonadiabatically excited quasiparticles.

Source: Physical Review A

DOI: 10.1103/physreva.111.032205

Authors: Bhavay Tyagi, Fumika Suzuki, Vladimir A. Chernyak, Nikolai A. Sinitsyn

Institutions: Los Alamos National Laboratory, University of Houston, Wayne State University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green