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Observation of Non-Abelian Thouless Pump
Oubo You1, Shanjun Liang2, Biye Xie1
1Department of Physics, University of Hong Kong, Hong Kong, China.
Physical Review Letters
|July 1, 2022
Summary
Researchers observed a non-Abelian Thouless pump in acoustic waveguides, demonstrating a novel dynamical effect. This breakthrough in quantized transport opens new avenues for quantum computing and optics.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Acoustics
Background:
- Thouless pumps enable quantized transport in dynamic systems, extending quantum Hall effects.
- Abelian Thouless pumps are well-studied, but non-Abelian versions remain experimentally elusive.
Purpose of the Study:
- To experimentally observe and characterize a non-Abelian Thouless pump.
- To explore the potential of non-Abelian dynamical effects in classical wave systems.
Main Methods:
- Utilized coupled acoustic waveguide arrays to create a three-band system.
- Implemented two distinct Z3 pump cycles traversing band degeneracies in parameter space.
- Investigated the noncommutative properties of these pump cycles.
Main Results:
- Successfully demonstrated the first experimental observation of a non-Abelian Thouless pump.
- Showcased the ability to transfer specific initial states to any lattice site using sequences of pump cycles.
- Confirmed the non-Abelian nature arising from noncommutative Z3 pump cycles.
Conclusions:
- The experimental realization of non-Abelian Thouless pumps in acoustic systems is achieved.
- This work provides a platform for exploring non-Abelian dynamics in classical wave systems.
- Potential applications include quantum walking, quantum optics, and quantum computation.
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