Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects
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Abstract
We construct a two-dimensional, discrete-time quantum walk, exhibiting non-Hermitian skin effects under open-boundary conditions. As a confirmation of the non-Hermitian bulk-boundary correspondence, we show that the emergence of topological edge states is consistent with the Floquet winding number, calculated using a non-Bloch band theory, invoking time-dependent generalized Brillouin zones. Further, the non-Bloch topological invariants associated with quasienergy bands are captured by a non-Hermitian local Chern marker in real space, defined via the local biorthogonal eigenwave functions of a non-unitary Floquet operator. Our work aims to stimulate further studies of non-Hermitian Floquet topological phases where skin effects play a key role.
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Tianyu Li, Yong-Sheng Zhang, Wei Yi. Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects[J]. Chin. Phys. Lett., 2021, 38(3): 030301. DOI: 10.1088/0256-307X/38/3/030301
Tianyu Li, Yong-Sheng Zhang, Wei Yi. Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects[J]. Chin. Phys. Lett., 2021, 38(3): 030301. DOI: 10.1088/0256-307X/38/3/030301
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Tianyu Li, Yong-Sheng Zhang, Wei Yi. Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects[J]. Chin. Phys. Lett., 2021, 38(3): 030301. DOI: 10.1088/0256-307X/38/3/030301
Tianyu Li, Yong-Sheng Zhang, Wei Yi. Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects[J]. Chin. Phys. Lett., 2021, 38(3): 030301. DOI: 10.1088/0256-307X/38/3/030301
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