Mechanical Multiplexer of Nuclear Spin States

Area of Science:

• Quantum mechanics
• Nuclear magnetic resonance (NMR) spectroscopy
• Quantum information science

Background:

• A spin 1/2 system is typically considered the simplest quantum system, supporting only a single two-level quantum state.
• This fundamental concept has limited the potential for complex quantum information processing using basic spin systems.

Purpose of the Study:

• To experimentally demonstrate that a spin 1/2 nucleus can exhibit more than two states.
• To explore the potential of mechanical rotation in nuclear magnetic resonance (NMR) for enhancing quantum information capacity.
• To investigate the theoretical framework behind the emergence of additional states in a spin 1/2 system under mechanical rotation.

Main Methods:

• Utilizing nuclear magnetic resonance (NMR) measurements on a ^{19}F nucleus in C_{6}F_{6}.
• Employing mechanical rotation of the sample and NMR coil to introduce temporal periodicity.
• Applying the Floquet formalism to analyze the system's behavior under periodic driving.

Main Results:

• Observed an extra resonance in the ^{19}F spin 1/2 system, indicating the emergence of additional quantum states.
• Identified the phenomenon as 'mechanical spin multiplexing' due to the temporal periodicity induced by mechanical rotation.
• Derived an operator algebra analogous to the planar rotor algebra for an effective description of the system.

Conclusions:

• A single spin 1/2 system can be engineered to support multiple quantum states beyond the conventional two-level description.
• Mechanical spin multiplexing offers a novel approach to increase the information-carrying capacity of individual quantum spins.
• This technique holds promise for advancing quantum computing by enabling multi-qubit processing on a single spin, enhancing scalability and efficiency.