Impact of chaos on precursors of quantum criticality

• URL: http://arxiv.org/abs/2112.06648v2
• Date: Mon, 27 Dec 2021 18:28:19 GMT
• Title: Impact of chaos on precursors of quantum criticality
• Authors: Ignacio Garc\'ia-Mata, Diego A. Wisniacki, Eduardo G. Vergini
• Abstract summary: Excited-state quantum phase transitions (ESQPTs) are critical phenomena that generate singularities in the spectrum of quantum systems. We show that finite-size of ESQPTs shrink as chaos increases due to the disturbance of the system.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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}

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