Third-Order Exceptional Point in Non-Hermitian Spin-Orbit-Coupled cold atoms

Fuente: arXiv
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Autori principali: Liu, Yu-Jun, Pak, Ka Kwan, Ren, Peng, Guo, Mengbo, Zhao, Entong, He, Chengdong, Jo, Gyu-Boong
Natura: Preprint
Pubblicazione: 2024
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author Liu, Yu-Jun
Pak, Ka Kwan
Ren, Peng
Guo, Mengbo
Zhao, Entong
He, Chengdong
Jo, Gyu-Boong
author_facet Liu, Yu-Jun
Pak, Ka Kwan
Ren, Peng
Guo, Mengbo
Zhao, Entong
He, Chengdong
Jo, Gyu-Boong
contents Exceptional points (EPs) has seen substantial advances in both experiment and theory. However, in quantum systems, higher-order exceptional points remain of great interest and possess numerous intriguing properties yet to be fully explored. Here, we describe a \emph{PT} symmetry-protected three-level non-Hermitian system with the dissipative spin-orbit-coupled (SOC) fermions in which a third-order exceptional point (EP3) emerges when both the eigenvalues and eigenstates of the system collapse into one. The band structure and its spin dynamics are explored for $^{173}$Yb fermions. We highlight the enhanced sensitivity to the external perturbation of EP3 with cubic-root energy dispersion. Additionally, we investigate the second-order exceptional point (EP2) with square-root energy dispersion in a three-level quantum system with the absence of parity symmetry, which proves that the enhanced sensitivity closely relates to the symmetries of the NH system. Furthermore, we analyze the encircling behavior of EP3 in terms of the adiabatic limit and the nonadiabatic dynamics and discover some different results from that of EP2.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17705
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Third-Order Exceptional Point in Non-Hermitian Spin-Orbit-Coupled cold atoms
Liu, Yu-Jun
Pak, Ka Kwan
Ren, Peng
Guo, Mengbo
Zhao, Entong
He, Chengdong
Jo, Gyu-Boong
Quantum Gases
Quantum Physics
Exceptional points (EPs) has seen substantial advances in both experiment and theory. However, in quantum systems, higher-order exceptional points remain of great interest and possess numerous intriguing properties yet to be fully explored. Here, we describe a \emph{PT} symmetry-protected three-level non-Hermitian system with the dissipative spin-orbit-coupled (SOC) fermions in which a third-order exceptional point (EP3) emerges when both the eigenvalues and eigenstates of the system collapse into one. The band structure and its spin dynamics are explored for $^{173}$Yb fermions. We highlight the enhanced sensitivity to the external perturbation of EP3 with cubic-root energy dispersion. Additionally, we investigate the second-order exceptional point (EP2) with square-root energy dispersion in a three-level quantum system with the absence of parity symmetry, which proves that the enhanced sensitivity closely relates to the symmetries of the NH system. Furthermore, we analyze the encircling behavior of EP3 in terms of the adiabatic limit and the nonadiabatic dynamics and discover some different results from that of EP2.
title Third-Order Exceptional Point in Non-Hermitian Spin-Orbit-Coupled cold atoms
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2412.17705