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Thermodynamics and dynamics of coupled complex SYK models
Jan C Louw1, Linda M van Manen2, Rishabh Jha1
1Institute for Theoretical Physics, Georg-August-Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany.
Summary
Coupled large-q complex Sachdev-Ye-Kitaev (SYK) models maintain quantum chaos and universality, aligning with black hole physics. This research confirms robustness in these quantum chaotic properties for extended SYK systems.
Area of Science:
- Quantum Field Theory
- Condensed Matter Physics
- High Energy Physics
Background:
- The large-q complex Sachdev-Ye-Kitaev (SYK) model shares universality and maximal chaos with black holes.
- SYK models are crucial for understanding quantum chaos and holographic duality.
Purpose of the Study:
- To establish the robustness of universality and chaos in extended SYK systems.
- To investigate coupled large-q complex SYK models of varying orders.
Main Methods:
- Thermodynamic property derivation, focusing on critical exponents.
- Dynamical property analysis using out-of-time correlator calculations.
- Lyapunov exponent determination.
Main Results:
- Coupled SYK systems exhibit a continuous phase transition at low temperatures.
- Critical exponents match the Landau-Ginzburg (mean-field) universality class.
- The system remains maximally chaotic, saturating the Maldacena-Shenker-Stanford (MSS) bound.
Conclusions:
- The universality and chaotic properties of SYK models are robust in coupled systems.
- Findings support broader investigations into quantum chaos and universality.
- Future work will explore connections to Hawking-Page transitions in holographic duals.
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