Spectral Information Torsion and Instanton-Induced Jumps:Tunniling
Автор: Khaled Bouzaiene
Загружено: 2025-12-28
Просмотров: 27
This research paper establishes a unified mathematical framework for understanding quantum transitions by comparing Fisher information and spectral torsion. While Fisher information tracks local, smooth changes that fade during diffusion, spectral torsion serves as a global, logarithmic measure that remains constant until a system undergoes a sudden structural shift. The authors prove that discontinuous jumps in spectral torsion occur exactly when eigenvalues cross zero, signaling the presence of instantons that mediate quantum tunneling. By providing a "seismograph" for these non-perturbative events, the study offers a way to detect quantum phase transitions using only eigenvalue data rather than complex path integrals. This method is significantly more computationally efficient than traditional simulations and has practical applications for monitoring stability in superconducting qubits. Ultimately, the work bridges spectral geometry and quantum information to provide a rigorous tool for characterizing macroscopic quantum phenomena
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