Two-body exceptional points in open dissipative systems

doi:10.1088/1674-1056/ac3396

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 10309-010309.doi: 10.1088/1674-1056/ac3396

所属专题： SPECIAL TOPIC — Non-Hermitian physics

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

收稿日期:2021-08-24 修回日期:2021-10-22 接受日期:2021-10-27 出版日期:2021-12-03 发布日期:2021-12-23
通讯作者: Wei Yi E-mail:wyiz@ustc.edu.cn
基金资助:
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).

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

Received:2021-08-24 Revised:2021-10-22 Accepted:2021-10-27 Online:2021-12-03 Published:2021-12-23
Contact: Wei Yi E-mail:wyiz@ustc.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: non-Hermitian physics, parity-time symmetry, open system, Lindblad equation

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.

Key words: non-Hermitian physics, parity-time symmetry, open system, Lindblad equation

中图分类号: (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

03.75.Kk

03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.75.Ss (Degenerate Fermi gases)

Peize Ding(丁霈泽) and Wei Yi(易为). Two-body exceptional points in open dissipative systems[J]. 中国物理B, 2022, 31(1): 10309-010309.

Peize Ding(丁霈泽) and Wei Yi(易为). Two-body exceptional points in open dissipative systems[J]. Chin. Phys. B, 2022, 31(1): 10309-010309.

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Two-body exceptional points in open dissipative systems

Two-body exceptional points in open dissipative systems

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