Non-Markovian quantum exceptional points
Abstract Exceptional points (EPs) are singularities in the spectra of non-Hermitian operators where eigenvalues and eigenvectors coalesce. Open quantum systems have recently been explored as EP testbeds due to their non-Hermitian nature. However, most studies focus on the Markovian limit, leaving a...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2025-02-01
|
| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-025-56242-w |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823861778612748288 |
|---|---|
| author | Jhen-Dong Lin Po-Chen Kuo Neill Lambert Adam Miranowicz Franco Nori Yueh-Nan Chen |
| author_facet | Jhen-Dong Lin Po-Chen Kuo Neill Lambert Adam Miranowicz Franco Nori Yueh-Nan Chen |
| author_sort | Jhen-Dong Lin |
| collection | DOAJ |
| description | Abstract Exceptional points (EPs) are singularities in the spectra of non-Hermitian operators where eigenvalues and eigenvectors coalesce. Open quantum systems have recently been explored as EP testbeds due to their non-Hermitian nature. However, most studies focus on the Markovian limit, leaving a gap in understanding EPs in the non-Markovian regime. This work addresses this gap by proposing a general framework based on two numerically exact descriptions of non-Markovian dynamics: the pseudomode equation of motion (PMEOM) and the hierarchical equations of motion (HEOM). The PMEOM is particularly useful due to its Lindblad-type structure, aligning with previous studies in the Markovian regime while offering deeper insights into EP identification. This framework incorporates non-Markovian effects through auxiliary degrees of freedom, enabling the discovery of additional or higher-order EPs that are inaccessible in the Markovian regime. We demonstrate the utility of this approach using the spin-boson model and linear bosonic systems. |
| format | Article |
| id | doaj-art-0942d24e5d054e1c893adfdac54e89cf |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-0942d24e5d054e1c893adfdac54e89cf2025-02-09T12:44:03ZengNature PortfolioNature Communications2041-17232025-02-0116111010.1038/s41467-025-56242-wNon-Markovian quantum exceptional pointsJhen-Dong Lin0Po-Chen Kuo1Neill Lambert2Adam Miranowicz3Franco Nori4Yueh-Nan Chen5Department of Physics, National Cheng Kung UniversityDepartment of Physics, National Cheng Kung UniversityTheoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKENTheoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKENTheoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKENDepartment of Physics, National Cheng Kung UniversityAbstract Exceptional points (EPs) are singularities in the spectra of non-Hermitian operators where eigenvalues and eigenvectors coalesce. Open quantum systems have recently been explored as EP testbeds due to their non-Hermitian nature. However, most studies focus on the Markovian limit, leaving a gap in understanding EPs in the non-Markovian regime. This work addresses this gap by proposing a general framework based on two numerically exact descriptions of non-Markovian dynamics: the pseudomode equation of motion (PMEOM) and the hierarchical equations of motion (HEOM). The PMEOM is particularly useful due to its Lindblad-type structure, aligning with previous studies in the Markovian regime while offering deeper insights into EP identification. This framework incorporates non-Markovian effects through auxiliary degrees of freedom, enabling the discovery of additional or higher-order EPs that are inaccessible in the Markovian regime. We demonstrate the utility of this approach using the spin-boson model and linear bosonic systems.https://doi.org/10.1038/s41467-025-56242-w |
| spellingShingle | Jhen-Dong Lin Po-Chen Kuo Neill Lambert Adam Miranowicz Franco Nori Yueh-Nan Chen Non-Markovian quantum exceptional points Nature Communications |
| title | Non-Markovian quantum exceptional points |
| title_full | Non-Markovian quantum exceptional points |
| title_fullStr | Non-Markovian quantum exceptional points |
| title_full_unstemmed | Non-Markovian quantum exceptional points |
| title_short | Non-Markovian quantum exceptional points |
| title_sort | non markovian quantum exceptional points |
| url | https://doi.org/10.1038/s41467-025-56242-w |
| work_keys_str_mv | AT jhendonglin nonmarkovianquantumexceptionalpoints AT pochenkuo nonmarkovianquantumexceptionalpoints AT neilllambert nonmarkovianquantumexceptionalpoints AT adammiranowicz nonmarkovianquantumexceptionalpoints AT franconori nonmarkovianquantumexceptionalpoints AT yuehnanchen nonmarkovianquantumexceptionalpoints |