Quantum tomography of a third-order exceptional point in a dissipative trapped ion
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arXiv
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| Main Authors: | , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866918230544613376 |
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| author | Chen, Y. -Y. Li, K. Zhang, L. Wu, Y. -K. Ma, J. -Y. Yang, H. -X. Zhang, C. Qi, B. -X. Zhou, Z. -C. Hou, P. -Y. Xu, Y. Duan, L. -M. |
| author_facet | Chen, Y. -Y. Li, K. Zhang, L. Wu, Y. -K. Ma, J. -Y. Yang, H. -X. Zhang, C. Qi, B. -X. Zhou, Z. -C. Hou, P. -Y. Xu, Y. Duan, L. -M. |
| contents | The requirement for Hermiticity in quantum mechanics ensures the reality of energies, while the parity-time symmetry offers an alternative route to achieve this goal. Interestingly, in a three-level system, the parity-time symmetry-breaking can lead to a third-order exceptional point with distinctive topological properties and enhanced sensitivity. To experimentally implement this in open quantum systems, it is essential to introduce two well-controlled loss channels. However, the requirement for these two loss channels presents a challenge in experimental implementation due to the lack of methods to realize the dynamics governed by an effective non-Hermitian Hamiltonian. Here we address the challenge by employing two approaches to eliminate the effects of quantum jump terms so that the dynamics is governed by an effective non-Hermitian Hamiltonian in a dissipative trapped ion with two loss channels. Based on this, we experimentally observe the parity-time symmetry-breaking-induced third-order exceptional point through non-Hermitian absorption spectroscopy. In particular, we perform quantum state tomography to directly demonstrate the coalescence of three eigenstates into a single eigenstate at the exceptional point. Finally, we identify an intrinsic third order Liouvillian exceptional point associated with a parity-time symmetry breaking via quench dynamics. Our experiments can be extended to observe other non-Hermitian phenomena involving more than two levels and potentially find applications in quantum information technology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05870 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum tomography of a third-order exceptional point in a dissipative trapped ion Chen, Y. -Y. Li, K. Zhang, L. Wu, Y. -K. Ma, J. -Y. Yang, H. -X. Zhang, C. Qi, B. -X. Zhou, Z. -C. Hou, P. -Y. Xu, Y. Duan, L. -M. Quantum Physics The requirement for Hermiticity in quantum mechanics ensures the reality of energies, while the parity-time symmetry offers an alternative route to achieve this goal. Interestingly, in a three-level system, the parity-time symmetry-breaking can lead to a third-order exceptional point with distinctive topological properties and enhanced sensitivity. To experimentally implement this in open quantum systems, it is essential to introduce two well-controlled loss channels. However, the requirement for these two loss channels presents a challenge in experimental implementation due to the lack of methods to realize the dynamics governed by an effective non-Hermitian Hamiltonian. Here we address the challenge by employing two approaches to eliminate the effects of quantum jump terms so that the dynamics is governed by an effective non-Hermitian Hamiltonian in a dissipative trapped ion with two loss channels. Based on this, we experimentally observe the parity-time symmetry-breaking-induced third-order exceptional point through non-Hermitian absorption spectroscopy. In particular, we perform quantum state tomography to directly demonstrate the coalescence of three eigenstates into a single eigenstate at the exceptional point. Finally, we identify an intrinsic third order Liouvillian exceptional point associated with a parity-time symmetry breaking via quench dynamics. Our experiments can be extended to observe other non-Hermitian phenomena involving more than two levels and potentially find applications in quantum information technology. |
| title | Quantum tomography of a third-order exceptional point in a dissipative trapped ion |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.05870 |