Evolution of quantum geometric tensor of 1D periodic systems after a quench

• URL: http://arxiv.org/abs/2601.19152v1
• Date: Tue, 27 Jan 2026 03:30:03 GMT
• Title: Evolution of quantum geometric tensor of 1D periodic systems after a quench
• Authors: Jia-Chen Tang, Xu-Yang Hou, Yu-Huan Huang, Hao Guo. Chih-Chun Chien,
• Abstract summary: We investigate the post-quench dynamics of 1D periodic systems with a suddenly changed Hamiltonian.<n>The connections between the QGT and physical observables suggest the QGT as a comprehensive probe for nonequilibrium phenomena.
• Score: 1.4143920669375492
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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