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Controlling the Quantum State with a time varying potential.

Sebastián Carrasco¹, José Rogan^2,3, Juan Alejandro Valdivia^2,3

¹Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, 7800024, Chile. sebastian.carrasco@ug.uchile.cl.

Scientific Reports

|October 18, 2017

Summary

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This study demonstrates controlling quantum states using time-varying potentials. Researchers achieved precise quantum state manipulation, like transitioning between energy levels in a particle-in-a-box model.

Area of Science:

Quantum mechanics
Quantum control
Atomic and molecular physics

Background:

Controlling quantum states is crucial for quantum technologies.
Standard quantum mechanics suggests state control is limited due to wave function norm conservation.

Purpose of the Study:

To investigate methods for controlling quantum states using time-varying potentials.
To demonstrate precise quantum state manipulation in a model system.

Main Methods:

Investigated a particle in a box with a periodically oscillating infinite square-well potential.
Derived analytic expressions for resonance frequencies between quantum states.

Main Results:

Showed that time-varying potentials can be used to control quantum states.

Related Experiment Videos

Demonstrated a method to transition a system from its ground state to the first excited state.

Identified resonance frequencies for state control.

Conclusions:

Quantum state control is achievable even with conserved wave function norms.
Time-varying potentials offer a viable pathway for precise quantum state engineering.
Results are applicable to systems with periodically oscillating boundary conditions.