Two-body exceptional points in open dissipative systems
开放耗散系统中的二体异常点
オープン散逸システムにおける2体の例外的なポイント
개방형 소산 시스템의 2체 예외점
Puntos excepcionales de dos cuerpos en sistemas disipativos abiertos
Points d'exception à deux corps dans les systèmes dissipatifs ouverts
Исключительные точки двух тел в открытых диссипативных системах
Peize Ding 丁霈泽 ¹, Wei Yi 易为 ¹ ²
¹ CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
中国 合肥 中国科学技术大学 中国科学院量子信息重点实验室
² CAS Center For Excellence in Quantum Information and Quantum Physics, Hefei 230026, China
中国 合肥 中国科学院 量子信息与量子科技前沿卓越创新中心
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.
