研究目的
To directly observe a quantum anomaly in the form of a polarization anomaly in a photonic discrete-time quantum walk system, overcoming the limitations of previous multistep protocols and exploring a new unitary supersymmetry.
研究成果
The study successfully demonstrates the direct observation of a polarization anomaly in a topological midgap state through a supersymmetric single-step quantum walk. This provides evidence for quantum anomalies without external probes and opens avenues for applications in quantum information, such as selectively exciting and distilling topological states.
研究不足
The experiment relies on weak coherent light rather than single photons, which may not fully capture quantum effects; losses in the optical system could affect scalability and fidelity; the protocol is specific to certain coin angles and may not generalize easily to other parameters.
1：Experimental Design and Method Selection:
The experiment is based on a single-step discrete-time quantum walk protocol using an optical fiber network. It involves implementing a unitary evolution with chiral and supersymmetric symmetries to create topological midgap states with anomalous polarization.
2：Sample Selection and Data Sources:
A weak coherent laser pulse is used as the quantum walker, with its polarization state (horizontal or vertical) serving as the coin state. The system is configured in bulk and interface setups with specific coin angles (e.g., φ1 =
3：29, φ2 = 17). List of Experimental Equipment and Materials:
Includes a Soleil-Babinet compensator, electro-optic modulator, polarizing beam splitter, optical fibers of different lengths, avalanche photodiodes, and quarter wave plates.
4：Experimental Procedures and Operational Workflow:
The initial laser pulse is injected into the system, undergoes coin operations (polarization rotations) and shift operations (position changes via fiber delays), and output pulses are measured after multiple steps (e.g., 13 or 17 steps) using polarization tomography in H/V, diagonal, and circular bases.
5：Data Analysis Methods:
Data is analyzed to reconstruct density matrices for polarization states, compare with numerical simulations, and quantify trapping probabilities and polarization dependencies.
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