Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866908284638724096 |
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| author | Tyagi, Bhavay Suzuki, Fumika Chernyak, Vladimir A. Sinitsyn, Nikolai A. |
| author_facet | Tyagi, Bhavay Suzuki, Fumika Chernyak, Vladimir A. Sinitsyn, Nikolai A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15897 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point Tyagi, Bhavay Suzuki, Fumika Chernyak, Vladimir A. Sinitsyn, Nikolai A. Quantum Physics Mathematical Physics Exactly Solvable and Integrable Systems 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. |
| title | Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point |
| topic | Quantum Physics Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2408.15897 |