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Nuclear Spin Dynamics, Noise, Squeezing, and Entanglement in Box Model
1Ioffe Institute, 194021 St. Petersburg, Russia.
Physical Review Letters
|June 11, 2021
Summary
We derived a solution for nuclear spin dynamics in the central spin model with many nuclear spins. This allows studying nuclear spin squeezing and entanglement without external system excitation.
Area of Science:
- Quantum physics
- Condensed matter physics
Background:
- The central spin model describes interactions between electron and nuclear spins.
- Understanding nuclear spin dynamics is crucial for quantum information processing.
Purpose of the Study:
- To find an analytical solution for nuclear spin dynamics in the many-spin limit.
- To explore applications in quantum phenomena like spin squeezing and entanglement.
Main Methods:
- Derivation of a compact analytical solution for the nonlinear nuclear spin dynamics equation.
- Analysis in the limit of a large number of nuclear spins.
Main Results:
- Identified a conserved component of the total nuclear spin along the external magnetic field.
- Described precession/oscillation of perpendicular components dependent on electron spin polarization.
- Determined frequency dependence on nuclear spin polarization.
- Calculated nuclear spin noise spectrum.
- Described nuclear spin squeezing and many-body entanglement without system excitation.
Conclusions:
- The analytical solution provides a powerful tool for studying complex nuclear spin systems.
- The findings open avenues for exploring quantum entanglement and squeezing in realistic solid-state systems.
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