Effective quantum Hamiltonian for a two-mesh LC circuit with discrete charge: Managing of currents and voltages

M. Calcina-NogalesDiego SanjinésE. Mamani2026-03-222026-03-22202210.1142/s0217979222501041https://doi.org/10.1142/s0217979222501041https://andeanlibrary.org/handle/123456789/71929In this paper, we study the dynamics of a quantum two-mesh LC circuit with discrete charge subject to rapidly oscillating voltage sources. A time-independent effective Hamiltonian for this system is derived in a high-frequency series expansion upto [Formula: see text] whose dominant behavior indicates the possibility of observing two physical phenomena: first, the controlled manipulation and suppression of the mesh currents by setting specific values of the voltage source amplitudes and, second, the onset of a DC regime (in the single–mesh case) which could be inferred by interpreting the quasi-degenerate quantum states.enDegenerate energy levelsHamiltonian (control theory)PhysicsQuantumVoltageAmplitudeQuantum mechanicsCharge (physics)Effective quantum Hamiltonian for a two-mesh LC circuit with discrete charge: Managing of currents and voltagesarticle