Impact of chaos on precursors of quantum criticality
arXiv:2112.06648 · doi:10.1103/PhysRevE.104.L062202
Abstract
Excited-state quantum phase transitions (ESQPTs) are critical phenomena that generate singularities in the spectrum of quantum systems. {For systems with a classical counterpart,} these phenomena have their origin in the classical limit when the separatrix of an unstable periodic orbit divides phase space into different regions. Using a semiclassical theory of wave propagation based on the manifolds of unstable periodic orbits, we describe the quantum states associated with an ESQPT {for the quantum standard map: a paradigmatic example of a kicked quantum system}. {Moreover, we show that finite-size precursors of ESQPTs shrink as chaos increases due to the disturbance of the system. This phenomenon is explained through destructive interference between principal homoclinic orbits}
arXiv comment6 pages + Supp. Mat. 4+6 Figs. Closest to published version
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- Impact of chaos on the excited-state quantum phase transition of the Kerr parametric oscillator
- Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
- Multifractality and excited-state quantum phase transition in ferromagnetic spin- Bose-Einstein condensates