Abstract

We propose a scheme to prepare a macroscopic mechanical oscillator in a catlike state, close to a coherent state superposition. The mechanical oscillator, coupled by radiation-pressure interaction to a field in an optical cavity, is first prepared close to a squeezed vacuum state using a reservoir engineering technique. The system is then probed using a short optical pulse tuned to the lower motional sideband of the cavity resonance, realizing a photon-phonon swap interaction. A photon number measurement of the photons emerging from the cavity then conditions a phonon-subtracted catlike state with a negative Wigner distribution exhibiting separated peaks and multiple interference fringes. We show that this scheme is feasible using state-of-the-art photonic crystal optomechanical system.

Highlights

  • Since its inception, major questions in quantum mechanics have been whether and how the superposition principle applies to macroscopic objects, as embodied in the famous thought experiment of Schrödinger

  • Superpositions of coherent states, known as cat states, are routinely generated in microscopic systems such as ions [1,2], radiation in superconducting cavities [3], optical photons [4,5,6], as well as atoms [7] and hybrid atom-light systems [8]. Preparing such states in macroscopic systems has proved to be more difficult. It has mainly been considered within the framework of quantum optomechanics, where a macroscopic mechanical oscillator is coupled to an electromagnetic field in a cavity via radiation pressure interaction [9]

  • We presented a scheme to prepare a macroscopic mechanical oscillator in a catlike state by combining reservoirengineering techniques, phonon-photon swap operations, and photon counting

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Summary

INTRODUCTION

Major questions in quantum mechanics have been whether and how the superposition principle applies to macroscopic objects, as embodied in the famous thought experiment of Schrödinger. Optomechanical crystals [63] are an especially promising platform for our scheme They operate in the resolved sideband regime, and cooling to the ground state with strong driving has been demonstrated [11] (note that cooling and squeezing are here combined in a single step [19]). They can show extremely long coherence times of more than a second [64], making them attractive for studying nonclassical states of motion. Squeezing was successfully demonstrated in several optomechanical systems [20,21,22,23], and photon counting was applied to optomechanical crystals prepared in the ground state to generate single-phonon and entangled [25,26,27,65,66] mechanical states

SQUEEZING OF THE MECHANICAL STATE
CONDITIONAL PHONON SUBTRACTION
EXPERIMENTAL REALIZATION
CONCLUSION
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