Preparation-controlled relaxation in an overdamped RLC circuit: A pedagogical route to the spectral Mpemba effect

arXiv:2609.33277 · quant-ph, physics.ed-ph · Submitted 2026-09-27 · Read on arXiv

quant-ph, physics.ed-ph

Submitted: 2026-09-27

Updated: 2026-09-27

Code: https://github.com/mathhenrique-code/Mpemba-RLC

Terminology

• Trace — 17× in this paper · explained in 2 episodes
• Gibbs State — 7× in this paper · explained in 2 episodes
• Calibration — 4× in this paper · explained in 7 episodes
• Stochastic Dynamics — 4× in this paper · explained in 2 episodes
• Ornstein–Uhlenbeck Process — 3× in this paper · explained in 3 episodes
• Wigner function — 3× in this paper · explained in 2 episodes
• Lindblad master equation — 2× in this paper · explained in 2 episodes
• Anisotropy — 1× in this paper · explained in 3 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Lindblad Dynamics — 1× in this paper · explained in 2 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes

Sources

• Frequency and Q-factor control of nanomechanical resonators
• The Mpemba effect in the Descartes protocol: A time-delayed Newton's law of cooling approach
• Quantum tunneling Mpemba effect
• Set-up for observation thermal voltage noise and determination of absolute temperature and Boltzmann constant
• Collective Mpemba-Type Relaxation in Degenerate Bosonic Modes Coupled to a Common Thermal Reservoir

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