What is it about?
This work explores how patterns from classical physics unexpectedly show up in the quantum world — even in chaotic systems. By analyzing the probability distribution of the quantum states in phase space, we discovered recurring structures that also appear in classical trajectories, even when initial conditions vary widely. These similarities were not limited to chaotic regimes: we found them across integrable, mixed, and chaotic scenarios. The result? A surprisingly strong connection between classical motion and quantum patterns, challenging assumptions about how separate these realms really are.
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Why is it important?
The transition between classical and quantum physics remains one of the most intriguing challenges in science. Our findings reveal that classical structures can survive — and even stand out — in quantum systems, supporting semiclassical principles and suggesting a deeper and more persistent connection than previously thought. This could open new perspectives on how we interpret quantum behavior, especially in chaotic systems where unpredictability is the norm. The work also highlights structures resembling the "shrimps" described by Gallas, suggesting that these features might have quantum counterparts worth exploring further.
Perspectives
This research actually started by chance — we weren’t looking for any classical patterns in quantum data. But once we noticed them, it was impossible to unsee. For me, it was exciting to find such order emerging from chaos, especially in a domain where we usually expect randomness. I believe this kind of quantum-classical correspondence could inspire other researchers to look closer at what might be “hiding in plain sight” in their own data.
Karin Wittmann Wilsmann
Universidade Federal do Rio Grande do Sul
Read the Original
This page is a summary of: Subtle nuances between quantum and classical regimes, Chaos An Interdisciplinary Journal of Nonlinear Science, April 2025, American Institute of Physics,
DOI: 10.1063/5.0237598.
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