Integrability and Quantum Chaos in Spin Glass Shards
B. Georgeot, D. L. Shepelyansky (CNRS, Toulouse)
TL;DR
This paper investigates the transition from integrability to quantum chaos in spin glass clusters under a transverse magnetic field, highlighting the conditions for random matrix statistics and their relation to quantum phase transitions.
Contribution
It identifies the regimes where quantum chaos emerges in spin glass shards and explores their connection to quantum phase transitions, extending understanding of disordered quantum systems.
Findings
Quantum chaos appears in specific field regimes.
Level statistics follow random matrix theory in chaotic regimes.
Relations between chaos and quantum phase transitions are discussed.
Abstract
We study spin glass clusters ("shards") in a random transverse magnetic field, and determine the regime where quantum chaos and random matrix level statistics emerge from the integrable limits of weak and strong field. Relations with quantum phase transition are also discussed.
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