Demos.SimplePendulum.Squeezed

In a harmonic oscillator, a "squeezed" state is obtained by changing the width of the ground state wavefunction. As a characteristic property, it does not change its Gaussian shape upon time evolution but its width is oscillating periodically in time. For the Mathieu states of the quantum pendulum, this is not the case because of the anharmonicity of the trigonometric potential energy curve, but in the free rotor limit intriguing (full and fractional) revival phenomena are found for long times, see our work on quantum dynamics of a plane pendulum.

Harmonic oscillator limit

Eigenstate for V₀=100, propagated in a potential with V₀=10

• Animation of evolving wavepacket
• Input data file
• Logfile output

Intermediate case

Eigenstate for V₀=100, propagated in a potential with V₀=1

• Animation of evolving wavepacket
• Input data file
• Logfile output

Free rotor limit

Eigenstate for V₀=100, freely evolving with V₀=0

• Animation of evolving wavepacket
• Input data file
• Logfile output