Exploring Chaos in Quantum Physics through Fluctuating Hydrodynamics

Exploring Chaos in Quantum Physics through Fluctuating Hydrodynamics

The world of quantum physics has long been known for its intricate and chaotic nature, with interactions between small particles often leading to complex behaviors. However, a recent study by Professor Monika Aidelsburger and Professor Immanuel Bloch from the LMU Faculty of Physics suggests that even quantum many-body systems can potentially be described using simple diffusion equations with random noise. This research, highlighted in a publication in the journal Nature Physics, challenges the conventional wisdom surrounding the description of chaotic quantum systems.

The concept of hydrodynamics, which allows for the macroscopic description of flow behavior without delving into the physics of individual particles, serves as the foundation for this study. By incorporating the notion of fluctuating hydrodynamics (FHD), which considers erratic movements in addition to the overall flow, the researchers were able to propose a simplified model for understanding the behavior of these systems. Julian Wienand, lead author of the study, emphasizes the significance of white noise in describing these erratic movements, ultimately leading to a focus on the diffusion constant as a key determinant of system behavior.

The study acknowledges the unique challenges posed by quantum systems, which are governed by laws fundamentally different from classical particles. Concepts such as uncertainty and entanglement add layers of complexity to quantum interactions, making them particularly difficult to analyze. Despite these obstacles, the researchers were optimistic about the applicability of FHD in simplifying the description of chaotic quantum systems, given the potential benefits of a macroscopic diffusion process approach.

To validate their theoretical framework, the research team conducted experiments on chaotic many-body quantum systems using ultracold cesium atoms in optical lattices. By observing the evolution of the system from a non-equilibrium initial state, the researchers were able to track fluctuations in particle density and density correlations over time. Remarkably, the results supported the hypothesis that FHD could effectively describe the behavior of these quantum systems, offering a new perspective on the complexity of their dynamics.

The findings of this study have broad implications for the field of quantum physics, suggesting that even chaotic quantum systems may be amenable to a simplified macroscopic description through FHD. By focusing on the diffusion constant as a key parameter, researchers may be able to bypass the intricacies of microscopic interactions and achieve a more intuitive understanding of these systems. While further research is needed to fully explore the extent of FHD’s applicability in the quantum realm, this study opens up exciting possibilities for simplifying the description of complex quantum phenomena.

Science

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