Nonadiabatic dynamics and geometric phase of an ultrafast rotating electron spin
arXiv:1811.01641 · doi:10.1016/j.scib.2019.02.018
Abstract
The spin in a rotating frame has attracted a lot of attentions recently, as it deeply relates to both fundamental physics such as pseudo-magnetic field and geometric phase, and applications such as gyroscopic sensors. However, previous studies only focused on adiabatic limit, where the rotating frequency is much smaller than the spin frequency. Here we propose to use a levitated nano-diamond with a built-in nitrogen-vacancy (NV) center to study the dynamics and the geometric phase of a rotating electron spin without adiabatic approximation. We find that the transition between the spin levels appears when the rotating frequency is comparable to the spin frequency at zero magnetic field. Then we use Floquet theory to numerically solve the spin energy spectrum, study the spin dynamics and calculate the geometric phase under a finite magnetic field, where the rotating frequency to fulfill the resonant transition condition could be greatly reduced.
arXiv comment6+2 pages, 3+1 figures
References in corpus (34)
- Cavity optomechanics using an optically levitated nanosphere
- Toward Quantum Superposition of Living Organisms
- Zeptonewton force sensing with nanospheres in an optical lattice
- Optically Levitated Nanodumbbell Torsion Balance and GHz Nanomechanical Rotor
- GHz Rotation of an Optically Trapped Nanoparticle in Vacuum
- Large quantum superpositions of a levitated nanodiamond through spin-optomechanical coupling
- Torsional optomechanics of a levitated nonspherical nanoparticle
- Matter Wave Interferometry of a Levitated Thermal Nano-Oscillator Induced and Probed by a Spin
- Observing bulk diamond spin coherence in high-purity nanodiamonds
- Optomechanics of Levitated Dielectric Particles
- Optical levitation of 10 nanogram spheres with nano- acceleration sensitivity
- Stable Three-Axis Nuclear Spin Gyroscope in Diamond
- Gyroscopes based on nitrogen-vacancy centers in diamond
- Optically driven ultra-stable nanomechanical rotor
- Electron spin control of optically levitated nanodiamonds in vacuum
- Stark effect and generalized Bloch-Siegert shift in a strongly driven two-level system
- Cooling the Motion of Diamond Nanocrystals in a Magneto-Gravitational Trap in High Vacuum
- Optical Rotation of Levitated Spheres in High Vacuum
- Precession Motion in Levitated Optomechanics
- Measurable quantum geometric phase from a rotating single spin
- Motion control and optical interrogation of a levitating single NV in vacuum
- Hybrid opto-mechanical systems with nitrogen-vacancy centers
- Proposal for quantum many-body simulation and torsional matter-wave interferometry with a levitated nanodiamond
- Optical levitation of high purity nanodiamonds in vacuum without heating
- Rotational friction and diffusion of quantum rotors
- Ramsey interferences and spin echoes from electron spins inside a levitating macroscopic particle
- Optomechanics based on angular momentum exchange between light and matter
- Observation of Floquet Raman transition in a driven solid-state spin system
- Magnetic pseudo-fields in a rotating electron-nuclear spin system
- Room-temperature ultra-sensitive mass spectrometer via dynamic decoupling
- -limited sensing of static magnetic fields via fast rotation of quantum spins
- The non-Abelian geometric phase in the diamond nitrogen-vacancy center
- Berry-like phases in structured atoms and molecules
- Use of non-adiabatic geometric phase for quantum computing by nuclear magnetic resonance
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- Optical nonreciprocity in rotating diamond with nitrogen-vacancy center
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