Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit
Non-Hermitian systems satisfying parity-time (PT) symmetry have aroused considerable interest owing to their exotic features. Anti-PT symmetry is an important counterpart of the PT symmetry, and has been studied in various classical systems. Although a Hamiltonian with anti-PT symmetry only differs...
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KeAi Communications Co. Ltd.
2023-11-01
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| Series: | Fundamental Research |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2667325822002266 |
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| author | Ji Bian Pengfei Lu Teng Liu Hao Wu Xinxin Rao Kunxu Wang Qifeng Lao Yang Liu Feng Zhu Le Luo |
| author_facet | Ji Bian Pengfei Lu Teng Liu Hao Wu Xinxin Rao Kunxu Wang Qifeng Lao Yang Liu Feng Zhu Le Luo |
| author_sort | Ji Bian |
| collection | DOAJ |
| description | Non-Hermitian systems satisfying parity-time (PT) symmetry have aroused considerable interest owing to their exotic features. Anti-PT symmetry is an important counterpart of the PT symmetry, and has been studied in various classical systems. Although a Hamiltonian with anti-PT symmetry only differs from its PT-symmetric counterpart in a global ±i phase, the information and energy exchange between systems and environment are different under them. It is also suggested theoretically that anti-PT symmetry is a useful concept in the context of quantum information storage with qubits coupled to a bosonic bath. So far, the observation of anti-PT symmetry in individual quantum systems remains elusive. Here, we implement an anti-PT-symmetric Hamiltonian of a single qubit in a single trapped ion by a designed microwave and optical control-pulse sequence. We characterize the anti-PTphase transition by mapping out the eigenvalues at different ratios between coupling strengths and dissipation rates. The full information of the quantum state is also obtained by quantum state tomography. Our work allows quantum simulation of genuine open-system feature of an anti-PT-symmetric system, which paves the way for utilizing non-Hermitian properties for quantum information processing. |
| first_indexed | 2024-03-09T15:34:48Z |
| format | Article |
| id | doaj.art-2bca215d18b44d7188c1347fa7511605 |
| institution | Directory Open Access Journal |
| issn | 2667-3258 |
| language | English |
| last_indexed | 2024-03-09T15:34:48Z |
| publishDate | 2023-11-01 |
| publisher | KeAi Communications Co. Ltd. |
| record_format | Article |
| series | Fundamental Research |
| spelling | doaj.art-2bca215d18b44d7188c1347fa75116052023-11-26T05:14:29ZengKeAi Communications Co. Ltd.Fundamental Research2667-32582023-11-0136904908Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubitJi Bian0Pengfei Lu1Teng Liu2Hao Wu3Xinxin Rao4Kunxu Wang5Qifeng Lao6Yang Liu7Feng Zhu8Le Luo9School of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, China; Center of Quantum Information Technology, Shenzhen Research Institute of Sun Yat-sen University, Shenzhen 518087, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, China; Center of Quantum Information Technology, Shenzhen Research Institute of Sun Yat-sen University, Shenzhen 518087, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, China; Center of Quantum Information Technology, Shenzhen Research Institute of Sun Yat-sen University, Shenzhen 518087, ChinaSchool of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, China; Center of Quantum Information Technology, Shenzhen Research Institute of Sun Yat-sen University, Shenzhen 518087, China; State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University (Guangzhou Campus), Guangzhou 510275, China; Corresponding author.Non-Hermitian systems satisfying parity-time (PT) symmetry have aroused considerable interest owing to their exotic features. Anti-PT symmetry is an important counterpart of the PT symmetry, and has been studied in various classical systems. Although a Hamiltonian with anti-PT symmetry only differs from its PT-symmetric counterpart in a global ±i phase, the information and energy exchange between systems and environment are different under them. It is also suggested theoretically that anti-PT symmetry is a useful concept in the context of quantum information storage with qubits coupled to a bosonic bath. So far, the observation of anti-PT symmetry in individual quantum systems remains elusive. Here, we implement an anti-PT-symmetric Hamiltonian of a single qubit in a single trapped ion by a designed microwave and optical control-pulse sequence. We characterize the anti-PTphase transition by mapping out the eigenvalues at different ratios between coupling strengths and dissipation rates. The full information of the quantum state is also obtained by quantum state tomography. Our work allows quantum simulation of genuine open-system feature of an anti-PT-symmetric system, which paves the way for utilizing non-Hermitian properties for quantum information processing.http://www.sciencedirect.com/science/article/pii/S2667325822002266Open quantum systemNon-Hermitian quantum mechanicsParity-time symmetryAnti-parity-time symmetryQuantum simulation |
| spellingShingle | Ji Bian Pengfei Lu Teng Liu Hao Wu Xinxin Rao Kunxu Wang Qifeng Lao Yang Liu Feng Zhu Le Luo Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit Fundamental Research Open quantum system Non-Hermitian quantum mechanics Parity-time symmetry Anti-parity-time symmetry Quantum simulation |
| title | Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit |
| title_full | Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit |
| title_fullStr | Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit |
| title_full_unstemmed | Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit |
| title_short | Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit |
| title_sort | quantum simulation of a general anti pt symmetric hamiltonian with a trapped ion qubit |
| topic | Open quantum system Non-Hermitian quantum mechanics Parity-time symmetry Anti-parity-time symmetry Quantum simulation |
| url | http://www.sciencedirect.com/science/article/pii/S2667325822002266 |
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