Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point

• URL: http://arxiv.org/abs/2408.15897v1
• Date: Wed, 28 Aug 2024 16:06:56 GMT
• Title: Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point
• Authors: Bhavay Tyagi, Fumika Suzuki, Vladimir A. Chernyak, Nikolai A. Sinitsyn,
• Abstract summary: We propose and solve a minimal model of dynamic passage through a quantum second order phase transition in the presence of weak symmetry breaking interactions and no dissipation. The evolution eventually leads to a highly asymmetric state, no matter how weak the symmetry breaking term is. This suggests a potential mechanism for strong asymmetry in the production of particles with almost identical characteristics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose and solve a minimal model of dynamic passage through a quantum second order phase transition in the presence of weak symmetry breaking interactions and no dissipation. The evolution eventually leads to a highly asymmetric state, no matter how weak the symmetry breaking term is. This suggests a potential mechanism for strong asymmetry in the production of particles with almost identical characteristics. The model's integrability also allows us to obtain exact Kibble-Zurek exponents for the scaling of the number of nonadiabatic excitations.

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