Spatial Rabi oscillations between Majorana bound states and quantum dots

Area of Science:

• Condensed Matter Physics
• Quantum Information Science
• Superconductivity

Background:

• Majorana bound states are exotic quasiparticles with equal particle-hole superposition amplitudes.
• Distinguishing Majorana bound states from other bound states, like Andreev bound states, is crucial for topological quantum computing.
• Quantum dots offer a tunable platform for probing fundamental quantum phenomena.

Purpose of the Study:

• To propose and verify a method for confirming the equal amplitude superposition of particle and hole in Majorana bound states.
• To develop a technique that can experimentally differentiate Majorana bound states from Andreev bound states.
• To precisely measure the energy splitting between two spatially separated Majorana bound states.

Main Methods:

• Analyzing spatial Rabi oscillations of quantum states in a quantum dot coupled to Majorana bound states.
• Investigating resonant Rabi driving energies corresponding to the energy splitting of coupled Majorana bound states.
• Studying a double-quantum-dot setup to observe nonlocal quantum correlations mediated by Majorana bound states.

Main Results:

• Identified two resonant Rabi driving energies linked to the energy splitting of coupled Majorana bound states.
• Observed identical Rabi oscillation frequencies for Majorana bound states but different frequencies for Andreev bound states under these energies.
• Detected nonlocal quantum correlations in a double-quantum-dot system, exhibiting signatures of additional resonant driving energies.

Conclusions:

• The proposed method effectively distinguishes Majorana bound states from Andreev bound states.
• The technique provides a precise measurement of the energy splitting between two Majorana bound states.
• This work advances the experimental verification and characterization of Majorana bound states for quantum technologies.