Evolution of quantum geometric tensor of 1D periodic systems after a quench
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arXiv
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| Format: | Preprint |
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2026
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| author | Tang, Jia-Chen Hou, Xu-Yang Huang, Yu-Huan Chien, Hao Guo. Chih-Chun |
| author_facet | Tang, Jia-Chen Hou, Xu-Yang Huang, Yu-Huan Chien, Hao Guo. Chih-Chun |
| contents | We investigate the post-quench dynamics of the quantum geometric tensor (QGT) of 1D periodic systems with a suddenly changed Hamiltonian. The diagonal component with respect to the crystal momentum gives a metric corresponding to the variance of the time-evolved position, and its coefficient of the quadratic term in time is the group-velocity variance, signaling ballistic wavepacket dispersion. The other diagonal QGT component with respect to time reveals the energy variance. The off-diagonal QGT component features a real part as a covariance and an imaginary part representing a quench-induced curvature. Using the Su-Schrieffer-Heeger (SSH) model as an example, our numerical results of different quenches confirm that the post-quench QGT is governed by physical quantities and local geometric objects from the initial state and post-quench bands, such as the Berry connection, group velocities, and energy variance. Furthermore, the connections between the QGT and physical observables suggest the QGT as a comprehensive probe for nonequilibrium phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19152 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Evolution of quantum geometric tensor of 1D periodic systems after a quench Tang, Jia-Chen Hou, Xu-Yang Huang, Yu-Huan Chien, Hao Guo. Chih-Chun Quantum Physics Other Condensed Matter We investigate the post-quench dynamics of the quantum geometric tensor (QGT) of 1D periodic systems with a suddenly changed Hamiltonian. The diagonal component with respect to the crystal momentum gives a metric corresponding to the variance of the time-evolved position, and its coefficient of the quadratic term in time is the group-velocity variance, signaling ballistic wavepacket dispersion. The other diagonal QGT component with respect to time reveals the energy variance. The off-diagonal QGT component features a real part as a covariance and an imaginary part representing a quench-induced curvature. Using the Su-Schrieffer-Heeger (SSH) model as an example, our numerical results of different quenches confirm that the post-quench QGT is governed by physical quantities and local geometric objects from the initial state and post-quench bands, such as the Berry connection, group velocities, and energy variance. Furthermore, the connections between the QGT and physical observables suggest the QGT as a comprehensive probe for nonequilibrium phenomena. |
| title | Evolution of quantum geometric tensor of 1D periodic systems after a quench |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2601.19152 |