Scheme for steady-state preparation of a harmonic oscillator in the first excited state

Abstract

We present a generic quantum master equation whose dissipative dynamics autonomously stabilizes a harmonic oscillator in the n=1 Fock state. A multi-mode optomechanical system is analyzed and shown to be an example of a physical system obeying this model. We show that the optomechanical setup enables preparation of a mechanical oscillator in a nonclassical steady state, and that this state indeed approaches a single phonon Fock state in the ideal parameter regime. The generic model may be useful in other settings, such as cavity or circuit quantum electrodynamics or trapped ion physics.

4 pages, 3 figures + supplementary (7 pages, 2 figures) v2: Minor changes, added a few references

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Cited by in corpus (10)

• Unconditional preparation of nonclassical states via linear-and-quadratic optomechanics
• Probing anharmonicity of a quantum oscillator in an optomechanical cavity
• Phonon Quantum Nondemolition Measurements in Nonlinearly Coupled Optomechanical Cavities
• Phonon antibunching effect in coupled nonlinear micro/nanomechanical resonator at finite temperature
• Optomechanics and thermometry of cryogenic silica microresonators
• Optical microscope and tapered fiber coupling apparatus for a dilution refrigerator
• Energy control in a quantum oscillator using coherent control and engineered environment
• Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search
• Deterministic preparation of highly non-classical macroscopic quantum states
• Quantum and classical control of single photon states via a mechanical resonator