Non-Markovian quantum exceptional points
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.
Authors
- Yueh-Nan Chen (ORCID: https://orcid.org/0000-0002-2785-7675)
- Neill Lambert (ORCID: https://orcid.org/0000-0001-7873-0773)
- Franco Nori (ORCID: https://orcid.org/0000-0003-3682-7432)
- Jhen-Dong Lin
- Adam Miranowicz (ORCID: https://orcid.org/0000-0002-8222-9268)
- Po-Chen Kuo (ORCID: https://orcid.org/0000-0003-4565-5185)
Institutions
- National University of Tainan (TW)
- Pioneer (United States) (US)
- University of Michigan (US)
- Pioneer (Japan) (JP)
- RIKEN (JP)
- National Center for Theoretical Sciences (TW)
- RIKEN Nishina Center (JP)
- RIKEN Center for Advanced Photonics (JP)
- National Center for Theoretical Sciences, Physics Division
- Adam Mickiewicz University in Poznań (PL)
- National Cheng Kung University (TW)
Publication Details
- Journal
- Nature Communications
- Published
- 2025-02-03
- DOI
- https://doi.org/10.1038/s41467-025-56242-w
- Citations
- 21
- Primary Topic
- Quantum Mechanics and Non-Hermitian Physics
- Type
- article
- Field-Weighted Citation Impact
- 26.18
Funders
- National Center for Theoretical Sciences
- Ministry of Education, Culture, Sports, Science and Technology
- National Science and Technology Council
- Japan Society for the Promotion of Science
- Japan Science and Technology Agency
- RIKEN
- Office of Naval Research
- Core Research for Evolutional Science and Technology
- Moonshot Research and Development Program
- Office of Naval Research Global