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Special Issue:
SPECIAL TOPIC — Non-Hermitian physics
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| SPECIAL TOPIC—Non-Hermitian physics |
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Two-body exceptional points in open dissipative systems |
| Peize Ding(丁霈泽)1 and Wei Yi(易为)1,2,† |
1 CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China;
2 CAS Center For Excellence in Quantum Information and Quantum Physics, Hefei 230026, China |
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Abstract We study two-body non-Hermitian physics in the context of an open dissipative system depicted by the Lindblad master equation. Adopting a minimal lattice model of a handful of interacting fermions with single-particle dissipation, we show that the non-Hermitian effective Hamiltonian of the master equation gives rise to two-body scattering states with state- and interaction-dependent parity-time transition. The resulting two-body exceptional points can be extracted from the trace-preserving density-matrix dynamics of the same dissipative system with three atoms. Our results not only demonstrate the interplay of parity-time symmetry and interaction on the exact few-body level, but also serve as a minimal illustration on how key features of non-Hermitian few-body physics can be probed in an open dissipative many-body system.
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Received: 24 August 2021
Revised: 22 October 2021
Accepted manuscript online: 27 October 2021
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PACS:
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.75.Ss
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(Degenerate Fermi gases)
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| Fund: We thank Xiaoling Cui for helpful discussions. Project supported by the National Natural Science Foundation of China (Grant No. 11974331) and the National Key R&D Program of China (Grant Nos. 2016YFA0301700 and 2017YFA0304100). |
Corresponding Authors:
Wei Yi
E-mail: wyiz@ustc.edu.cn
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Cite this article:
Peize Ding(丁霈泽) and Wei Yi(易为) Two-body exceptional points in open dissipative systems 2022 Chin. Phys. B 31 010309
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