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Researchers have developed a refined measurement tool called the logarithmic characteristic function (LCF) to accurately track symmetry restoration dynamics in many-body quantum systems. This method overcomes the limitations of existing metrics like entanglement asymmetry, which fail to distinguish between different initial states or capture subtle effects such as the discrete-symmetry Mpemba effect. By providing a complete characterization of these complex physical processes, the new approach enables more precise analysis of relaxation behaviors in quantum field theory and condensed matter systems.

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Researchers Link Completeness to Symmetry Breaking Dynamics

Quantum ZeitgeistSeptember 21, 20264 min read

Entanglement asymmetry, a common measure of symmetry breaking, becomes indistinguishable between states as systems grow larger, obscuring dynamic processes such as a discrete-symmetry Mpemba effect. Now, extending measurements to encompass a complete logarithmic characteristic function allows researchers to track differences even when entanglement asymmetry saturates. This refined approach reveals distinct relaxation behaviours previously hidden within complex physical systems.

A new approach utilising the logarithmic characteristic function, or string order parameter, enhances the ability to accurately describe symmetry restoration dynamics in complex systems. The measure outperforms incomplete methods like entanglement asymmetry when tracking how broken symmetries reappear within many-body systems and quantum field theory. A new way to measure how order is regained after disruption within complex quantum systems utilises this approach. Current methods, such as entanglement asymmetry,…

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