Work represents first step towards a levitated system combining optical, spin and mechanical degrees of freedom
Researchers have, for the first time, levitated individual nanodiamonds in vacuum. The research team is led by Nick Vamivakas at the University of Rochester who thinks their work will make extremely sensitive instruments for sensing tiny forces and torques possible, as well as a way to physically create larger-scale quantum systems known as macroscopic Schrödinger Cat states.
A nanodiamond containing hundreds of nitrogen vacancies glows while levitated by a laser during an experiment in Nick Vamivakas' lab at the University of Rochester. The team have now continued the research to use nanodiamonds with single vacancies and to do the experiments in vacuum. They report their results in Nature Photonics.
Photo by J. Adam Fenster/University of Rochester
While other researchers have trapped other types of nanoparticles in vacuum, those were not optically active. The nanodiamonds, on the other hand, can contain nitrogen-vacancy (NV) centers that emit light and also have a spin quantum number of one. In the paper, published in Nature Photonics, the researchers from Rochester's Institute of Optics explain this is the first step towards creating a "hybrid quantum system." Their system combines the mechanical motion of the nanodiamond with the internal spin of the vacancy and its optical properties to make it particularly promising for a number of applications.
In a previous paper, the researchers had shown that nanodiamonds could be levitated in air using a trapping laser. The new paper now shows this can be done in vacuum, which they say is "a critical advance over previous nanodiamond optical tweezer experiments performed in liquids or at atmospheric pressure."
Nanodiamonds trapped at atmospheric pressure are continuously agitated by collisions with the air molecules around them. Trapping the diamonds in vacuum removes the effect of all these air molecules. "This allows us to exert mechanical control over them," said Levi Neukirch, lead author of the paper and a Ph.D. student in Vamivakas' group at Rochester. "They turn into little harmonic oscillators."
"We can measure the position of the diamond in 3D and we create a feedback signal based on the position and velocity of the nanodiamond," said Neukirch. "This lets us actively damp its motion."
Neukirch said that this is done by changing the trapping potential that the diamond sees. The trapping potential can be illustrated by imagining the diamond sitting at the bottom of a valley. If the diamond moves away from the bottom of the valley, it effectively moves uphill and eventually rolls back to the bottom. The feedback mechanism the researchers have created changes the shape of the optical potential well, so that the hill is steep when the diamond climbs it, but gradual when it rolls back down. Eventually the diamond would just oscillate a tiny amount at the bottom of the valley. This, Neukirch stated, is their long-term goal: to damp the diamond's motion until it is in the ground state of the system, which would make the system behave as a quantum mechanical oscillator.
In their previous experiments the diamond shone brightly because it contained hundreds of vacancies, all which emit light after being excited with a laser. In their recent work they chose diamonds that had few vacancies and were even able to select diamonds with a single vacancy. With a single spin in the NV center, and the system functioning as a quantum mechanical oscillator, the researchers would be able to affect the spin state of the tiny defect inside the nanodiamond by exerting mechanical control on the entire nanodiamond.
For this to be possible, the system has to be in vacuum, at even lower pressures that the researchers were able to achieve. The limiting factor, Neukirch explained, was that the nanodiamonds were destroyed at very low pressures. He believes the nanodiamonds are either melting or sublimating, because at lower pressures there are fewer air molecules to remove the excess internal heat from the diamonds, which is injected by a laser that is used to excite the system as part of the experiment.
In collaboration with a team from Abo Akademi University in Finland, they replaced their bare nanodiamonds with nanodiamonds that are encased in silica shells, to find if these would protect the nanodiamonds. While this did not solve the problem it did make all the nanodiamonds spherical and homogenous, which the researchers think is desirable for future experiments.
To be able to measure and control the system, the researchers use two separate lasers: one to trap the nanodiamond, the other one to excite the NV center. When the defect relaxes from an excited state to a lower energy state it emits a photon. This process is known as photoluminescence. Photoluminescence allows the researchers to understand by the energy of the emitted photon what the energy structure of the system is, as well as exert control and be able to change the energy of the system.
Before the researchers can achieve their goal of being able to cool down the nanodiamonds mechanically into the ground state, they will have to figure out how to stop the nanodiamonds from vanishing in seconds at lower pressures. But the potential for these systems, Neukirch believes, is very exciting.
"We have demonstrated the ability to control the NV center's spin in these levitated nanodiamonds," Neukirch said. He explained that the defect's electrons had to take on specific spin states, two of which are normally "degenerate," meaning in this case that states with spin values of +1 or -1 have the same energy.
"Without applying a magnetic field these two energy levels are the same, but we can separate them with magnetic field, and they react differently to it. If there was an electron in the spin +1 state and you then applied a magnetic field, the whole nanodiamond would feel a push, but if it was in the spin -1 state it would feel a pull," he said. "Because the electron spins are intrinsically quantum mechanical, they can exist in something called superpositions. We can create a state where a single spin is in both the +1 and -1 states simultaneously. If we can mechanically place the nanodiamond in the ground state, this would allow us to both push and pull on the spin, hopefully generating a mechanical superposition of the entire diamond. This is a curious phenomenon that physicists are interested in studying, and it is called a macroscopic Schrödinger Cat state."
Neukirch also said levitating nanodiamonds in vacuum could be used to measure "extremely tiny forces or torques." The nanodiamonds are in effect nano-oscillators, and any force, even if tiny, will move them slightly. Neukirch added that their "setup is capable of detecting these small motions."
Neukirch will be starting as a postdoctoral associate in Vamivakas' group this month, continuing this work with the aim of achieving levitated, optically active nanodiamonds that are not destroyed at low pressures.
Eva von Haartman and Jessica M. Rosenholm from the pharmaceutical sciences laboratory at Abo Academy, Finland, collaborated with the Rochester team by providing the silica-encased nanodiamonds.
The work was supported by an award from the Office of Naval Research.
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