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Quantum Harmonic Oscillator State Control in a Squeezed Fock Basis.

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Scientists controlled a trapped-ion quantum harmonic oscillator using engineered Hamiltonians. This technique creates novel quantum states for applications in precision measurement and quantum information science.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Quantum optics

Background:

  • Trapped-ion quantum harmonic oscillators are fundamental systems in quantum science.
  • Jaynes-Cummings and anti-Jaynes-Cummings models describe light-matter interactions.
  • Squeezed states offer enhanced sensitivity for quantum measurements.

Purpose of the Study:

  • To demonstrate control of a trapped-ion quantum harmonic oscillator in a squeezed Fock state basis.
  • To engineer Hamiltonians analogous to Jaynes-Cummings forms for quantum control.
  • To explore the creation and properties of novel quantum states.

Main Methods:

  • Utilized engineered Hamiltonians mimicking Jaynes-Cummings physics.
  • Employed sequences of alternating transfer pulses.
  • Started from a squeezed vacuum state to generate higher excitation levels.

Main Results:

  • Achieved control over a trapped-ion quantum harmonic oscillator in a squeezed Fock state basis.
  • Reproduced sqrt[n] scaling of matrix elements for low n, characteristic of Jaynes-Cummings physics.
  • Generated squeezed Fock states up to n=6 with 8.7 dB squeezing and demonstrated superpositions.

Conclusions:

  • Developed a technique to access new sets of quantum harmonic oscillator states.
  • The demonstrated control and state generation are relevant for precision metrology.
  • These advancements hold potential for applications in quantum information science.