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Exact Quench Dynamics from Thermal Pure Quantum States

Statistical Mechanics 2026-03-17 v3 Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics

Abstract

We present an exact solution of entanglement entropy for the real-time dynamics following a quench from a thermal pure quantum (TPQ) state in an free fermion system. Contrast to the usual linear growth and saturate behavior, the entanglement entropy exhibits a characteristic double-plateau structure. We obtain this behavior exactly using three complementary approaches: two-dimensional (2D) conformal field theory (CFT) on the Klein bottle, an exact numerical evolution based on the matrix Riccati equation, and an asymptotically exact quasiparticle picture.

Keywords

Cite

@article{arxiv.2510.05346,
  title  = {Exact Quench Dynamics from Thermal Pure Quantum States},
  author = {Hui-Huang Chen},
  journal= {arXiv preprint arXiv:2510.05346},
  year   = {2026}
}

Comments

v3: Revised introduction and conclusion for clarity. Focused on entanglement dynamics. Minor textual improvements. 5+11 pages, 2 figures

R2 v1 2026-07-01T06:20:08.130Z