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Exact Quench Dynamics from Thermal Pure Quantum States
Hui-Huang Chen·October 6, 2025
cond-mat.stat-mechcond-mat.str-elhep-thQuantum Physics
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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.