Table 1 Correspondence between a qubit described by the Schrödinger equation and the classical coupled pendula after the rotating-wave approximation, which alters the EOM independent of the carrier frequency \(\omega _0 = (\omega _L+\omega _R)/2\).
From: Classical analogue to driven quantum bits based on macroscopic pendula
Two-level system | Coupled pendula |
|---|---|
Eigenstates | Normal modes |
Tunnel oscillations | Beating |
Tunnel coupling \(\Delta\) | Frequency diff. \(\Delta = \omega _1-\omega _2\) |
Energy detuning \(\varepsilon (t)\) | Interaction \(\varepsilon (t)\) |
Localized states | In-phase/out-of-phase mode |
Delocalized states | Left/right pendulum mode |
Amplitude of wavefunctions | Amplitude of pendula |
Occupation probability | Occupation \(\propto\) energy |
