Single and two-mode mechanical squeezing of an optically levitated nanodiamond via dressed-state coherence

Abstract

Nonclassical states of macroscopic objects are promising for ultrasensitive metrology as well as testing quantum mechanics. In this work, we investigate dissipative mechanical quantum state engineering in an optically levitated nanodiamond. First, we study single-mode mechanical squeezed states by magnetically coupling the mechanical motion to a dressed three-level system provided by a Nitrogen-vacancy center in the nanoparticle. Quantum coherence between the dressed levels is created via microwave fields to induce a two-phonon transition, which results in mechanical squeezing. Remarkably, we find that in ultrahigh vacuum quantum squeezing is achievable at room temperature with feedback cooling. For moderate vacuum, quantum squeezing is possible with cryogenic temperature. Second, we present a setup for two mechanical modes coupled to the dressed three levels, which results in two-mode squeezing analogous to the mechanism of the single-mode case. In contrast to previous works, our study provides a deterministic method for engineering macroscopic squeezed states without the requirement for a cavity.

13 pages, 11 figures. Comments are welcome!

References in corpus (19)

• Millikelvin cooling of an optically trapped microsphere in vacuum
• Large Quantum Superpositions and Interference of Massive Nanometer-Sized Objects
• Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator
• Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing
• Cooling and squeezing via quadratic optomechanical coupling
• Nuclear Magnetic Resonance Imaging with 90 nm Resolution
• Steady-state Mechanical Squeezing in an Optomechanical System via Duffing Nonlinearity
• Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir
• Cavity-assisted squeezing of a mechanical oscillator
• Excited-state spectroscopy of single NV defects in diamond using optically detected magnetic resonance
• Dynamic Relaxation of a Levitated Nanoparticle from a Non-Equilibrium Steady State
• Search for Millicharged Particles Using Optically Levitated Microspheres
• Attonewton force detection using microspheres in a dual-beam optical trap in high vacuum
• Control and coherence of the optical transition of single defect centers in diamond
• Experimental Realisation of a Thermal Squeezed State of Levitated Optomechanics
• Testing quantum gravity by nanodiamond interferometry with nitrogen-vacancy centers
• Hybrid opto-mechanical systems with nitrogen-vacancy centers
• Non-equilibrium steady state of a driven levitated particle with feedback cooling
• Thermomechanical two-mode squeezing in an ultrahigh $Q$ membrane resonator