Berlin 2024 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 29: Many-Body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)
TT 29.7: Vortrag
Dienstag, 19. März 2024, 11:00–11:15, A 151
Quantum dynamical phase transition in Erdos-Renyi graph — •Tomohiro Hashizume1, Felix Herbort1, Joseph Tindall2, and Dieter Jaksch1 — 1CUI, institute of quantum physics, University of Hamburg, Hamburg, Germany — 2Centre for Computational Quantum Physics, Flatiron Institute, New York, USA
With the lack of the well-defined free energy, the dynamics of a closed quantum system reaching its equilibrium state is not constrained by the conventional statistical mechanical pricniples. In the light of expanding the temperature into the complex domain, the dynamical quantum phase transition manifests itself as non-analyticities in the logarithm of the survival probability of the initial state before the quench. Based on the duality between the equilibrium quantum phase of the transverse field Ising model and the same model on the probablistic random graph (Erdos-Rényi graph), we expand this duality to the non-equilibrium regime and study the dynamical phase transition in these models. We show that despite the consistency of the dynamical critical point for all probability of edge generalation, p, the anomality of the transition ceases to exist upon averaging the echo over all possible graphs for p<1.
Keywords: Dynamical Phase Transition; Erdős–Rényi graph; KAM Theorem; Discrete Truncated Wigner