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Quantum Hierarchical Fokker-Planck Equations with U(1) Gauge Fields (U(1)-QHFPE): A Computational Framework for Aharonov-Bohm Effects
Shoki Koyanagi, Hyeonseok Yang, Yoshitaka Tanimura
https://arxiv.org/abs/2509.11195

Quantum Hierarchical Fokker-Planck Equations with U(1) Gauge Fields (U(1)-QHFPE): A Computational Framework for Aharonov-Bohm Effects
We introduce U(1)-QHFPE, a non-Markovian and non-perturbative open quantum dynamics software package for solving quantum Fokker-Planck equations incorporating gauge fields within the Hierarchical Equations of Motion (HEOM) formalism. The framework rigorously preserves gauge invariance and rotational symmetry, enabling accurate simulations of transport phenomena such as the Aharonov-Bohm effect under strong system-bath coupling. In this regime, quantum entanglement between the system and bath em…

Observation of renormalization group invariance in symmetry-restored nuclear lattice effective field theory
Jia-Ai Shi, Chen-Can Wang, Bing-Nan Lu
https://arxiv.org/abs/2509.02953

Observation of renormalization group invariance in symmetry-restored nuclear lattice effective field theory
Renormalization group (RG) invariance implies that the predictions of effective field theory are independent of the momentum cutoffs introduced during regularization. Here we report the first systematic verification of RG invariance for realistic nuclear few-body systems within nuclear lattice effective field theory. To restore broken continuum rotational and Galilean symmetries, we employ Galilean-invariance-restoration counterterms and use a soft momentum regulator. We calibrate the two- and …

Compressibility and speed of sound in magnetized nuclear matter with broken scale invariance
Pallabi Parui, Nilanjan Chaudhuri, Pradip Roy, Sourav Sarkar
https://arxiv.org/abs/2509.15700

Compressibility and speed of sound in magnetized nuclear matter with broken scale invariance
The thermodynamical properties of magnetized nuclear matter at finite temperature and baryon chemical potential are studied within an effective model incorporating the QCD trace anomaly effect. The presence of magnetic field induces anisotropic structure in the energy momentum tensor due to the broken rotational invariance. The study exhibits a phase transition through the sudden change of the effective nucleon mass in a certain range of baryon chemical potential and temperature. The addition o…