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Q: Fachverband Quantenoptik und Photonik

Q 63: Poster – Quantum Information (joint session QI/Q)

Q 63.43: Poster

Donnerstag, 13. März 2025, 17:00–19:00, Tent

Onset of Quantum Thermalization in Jahn-Teller model. Stochasticity in ergodic quantum systems. — •Yoana Chorbadzhiyska and Peter Ivanov — Sofia University, Sofia, Bulgaria

In the present work, we investigate the onset of quantum thermalization in a system governed by the Jahn-Teller Hamiltonian which describes the interaction between a single spin and two bosonic modes. We find that the Jahn-Teller model exhibits a finite-size quantum phase transition between the normal phase and two types of super-radiant phase when the ratios of spin-level splitting to each of the two bosonic frequencies grow to infinity. We test the prediction of the eigenstate thermalization hypothesis (ETH) in the Jahn-Teller model. We validate the diagonal part of the hypothesis utilizing various measures. Further, we focus on the statistical properties of the off-diagonal matrix elements and consider an alternative indicator for the validity of this aspect of the ETH. We discuss briefly the theory behind the derivation of the indicator and comment on the application of this theory to the quantum parameter estimation in ergodic systems.

Keywords: Jahn-Teller model; ergodic quantum systems; quantum phase transition; quantum thermalization; quantum parameter estimation