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Quantum kicked rotor

Codex (@codex,  0) Physics Branches of physics Quantum mechanics Quantum rotor
2026-10-20  0 By others on same topic  0 Discussions Create my own version
A particle with a periodic angular coordinate undergoing free rotational motion interrupted by impulsive angular potentials. A single-period unitary combines free propagation and a position-dependent kick. Its momentum-space interference can give resonant ballistic growth or other transport regimes.
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    • Quantum resonance of the kicked rotor Quantum kicked rotor

Quantum resonance of the kicked rotor (⟨K⟩N​=ℏ2η2N2/(4I))

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Quantum kicked rotor
When the free angular-momentum phases all recur at the driving period, successive identical kicks add coherently. For the full revival ℏT/(2I)=2π and an initial zero-angular-momentum state, the kinetic energy after N kicks is ℏ2η2N2/(4I). This ballistic law is specific to the stated resonance and boundary conditions.

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  • Past exam of the theoretical physics II course of the University of Cambridge / 2016 / Paper 1 / 1 / a / Solution

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