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Direct Measurement of Topological Numbers with Spins in Diamond
Fei Kong1, Chenyong Ju1,2, Ying Liu1
1Key Laboratory of Microscale Magnetic Resonance and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China.
Physical Review Letters
|August 20, 2016
Summary
Researchers demonstrate quantum simulation of topological phase transitions using nitrogen-vacancy centers. This method reliably extracts topological numbers, overcoming experimental challenges in measuring these key quantum properties.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information science
Background:
- Topological phases and numbers characterize states beyond Landau symmetry breaking.
- Numerous topological phases are predicted, but experimental measurement of topological numbers remains challenging.
- Quantum Hall effect discovery spurred topological phase research.
Purpose of the Study:
- To demonstrate a quantum simulation method for topological phase transitions.
- To overcome experimental difficulties in measuring topological numbers.
- To utilize a single nitrogen-vacancy center in diamond for quantum simulation.
Main Methods:
- Quantum simulation of a topological phase transition in a quantum wire.
- Precise modulation of the Hamiltonian for a single nitrogen-vacancy (NV) center.
- Application of a quantum algorithm for eigenvalue finding.
Main Results:
- Reliable extraction of dispersion relations.
- Successful measurement of topological numbers.
- Demonstration of quantum simulation for topological phase transitions.
Conclusions:
- The developed quantum simulation method accurately extracts topological numbers.
- This technique offers a viable approach for studying complex topological systems.
- The method using NV centers can be generalized to more intricate topological simulations.
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