Strongly correlated complex systems

Hira Ali, Naeem Shahid

We analyze emission trajectories from a driven-dissipative two-qubit system and a classical telegraph model with matched rates. Using Lempel-Ziv complexity, mutual information, and temporal correlations, we show that both models undergo a transition from independent to synchronized dynamics as coupling increases, but only the quantum trajectories develop enhanced complexity and sustained information sharing at large drive-to-decay ratio. Classical correlations are short-lived and quickly suppressed by strong drive. A strong complexity-information correlation appears uniquely in the quantum case, providing a clear trajectory-level signature of quantum effects. These results show that complexity and information measures extracted directly from jump records provide an efficient way to distinguish quantum and classical dynamics in open systems.

Byung Gyu Chae

The strong interaction between electrons reveals the duality of the itinerancy and the localization of quasiparticles. The physical phenomena corresponding to each component of the duality could be realized and coexist within the category of the uncertainty principle of the carrier dynamics, which can be a strong reason of the complexity appearing in the strongly correlated system. A possible mechanism for the high-temperature superconductivity is proposed on the basis of the interplay between the renormalized expectation quantities of both parts.

Adolfo Avella, Ferdinando Mancini

Jincheng Zhang

Quantum-enhanced lattice theory offers a novel approach to modeling complex systems, particularly those exhibiting strong correlations and dynamic behavior. This paper explores the potential of extending lattice theory to incorporate quantum mechanics principles, specifically focusing on the dynamics of highly correlated systems. We introduce a quantum algorithm designed to efficiently calculate entanglement and correlations within a lattice, aiming to significantly enhance simulation accuracy compared to classical methods. This research addresses the limitations of traditional lattice methods in capturing intricate patterns and predicting complex system evolution, providing a pathway towards more precise modeling and control. The core mechanism involves the integration of quantum mechanics into lattice dynamics, offering a promising shift towards a fundamentally different approach to complex system analysis.

Adolfo Avella, Ferdinando Mancini