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Experimental Proposal on Non-Hermitian Skin Effect by Two-dimensional Quantum Walk with a Single Trapped Ion |
| Waner Hou1, Hao Tang1, Qin Xu1, and Yiheng Lin1,2* |
1CAS Key Laboratory of Microscale Magnetic Resonance and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China
2Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China
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| Cite this article: |
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Waner Hou, Hao Tang, Qin Xu et al 2024 Chin. Phys. Lett. 41 040301 |
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Abstract Non-Hermitian Hamiltonians are widely used in describing open systems with gain and loss, among which a key phenomenon is the non-Hermitian skin effect. Here we report an experimental scheme to realize a two-dimensional (2D) discrete-time quantum walk with non-Hermitian skin effect in a single trapped ion. It is shown that the coin and 2D walker states can be labeled in the spin of the ion and the coherent-state lattice of the ion motion, respectively. We numerically observe a directional bulk flow, whose orientations are controlled by dissipative parameters, showing the emergence of the non-Hermitian skin effect. We then discuss an experimental implementation of our scheme in a laser-controlled trapped Ca$^{+}$ ion. Our experimental proposal may be applicable to research of dissipative quantum walk systems and may be able to generalize to other platforms, such as superconducting circuits and atoms in cavity.
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Received: 25 January 2024
Published: 16 April 2024
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| PACS: |
03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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37.90.+j
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(Other topics in mechanical control of atoms, molecules, and ions)
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42.50.-p
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(Quantum optics)
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