Mikhail Kiselev: Coupled pendulums as a classical simulator for quantum two-level system

 

Coupled pendulums as a classical simulator for quantum two-level system

 

Mikhail Kiselev

ICTP, Trieste, Italy

 

We present a macro-mechanical device consisting of two coupled pendulums constructed as a classical counterpart of a quantum bit. The experiments demonstrate the classical analog of Rabi oscillations, Landau - Zener transition, Stueckelberg interference etc. Solving  the classical equations of motion we show that classical Bloch equations perfectly describe  the dynamics of a driven two-level system including but not limited by non-linear effects (e.g. spin-echo). We discuss both similarities and principal differences between quantum mechanical two-level systems and its classical analog.

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