Emergent Liouvillian exceptional points from exact principles
(2025) In Quantum 9.- Abstract
Recent years have seen a surge of interest in exceptional points in open quantum systems. The natural approach in this area has been the use of Markovian master equations. While the resulting Liouvillian EPs have been seen in a variety of systems and have been associated to numerous exotic effects, it is an open question whether such degeneracies and their peculiarities can persist beyond the validity of master equations. In this work, taking the example of a dissipative double-quantum-dot system, we show that exact Heisenberg equations governing system and bath dynamics exhibit the same EPs as the corresponding master equations. To highlight the importance of this finding, we prove that the paradigmatic property associated to EPs -... (More)
Recent years have seen a surge of interest in exceptional points in open quantum systems. The natural approach in this area has been the use of Markovian master equations. While the resulting Liouvillian EPs have been seen in a variety of systems and have been associated to numerous exotic effects, it is an open question whether such degeneracies and their peculiarities can persist beyond the validity of master equations. In this work, taking the example of a dissipative double-quantum-dot system, we show that exact Heisenberg equations governing system and bath dynamics exhibit the same EPs as the corresponding master equations. To highlight the importance of this finding, we prove that the paradigmatic property associated to EPs - critical damping, persists well beyond the validity of master equations. Our results demonstrate that Liouvillian EPs can arise from underlying fundamental exact principles, rather than merely as a consequence of approximations involved in deriving master equations.
(Less)
- author
- Khandelwal, Shishir LU and Blasi, Gianmichele
- organization
- publishing date
- 2025-12-15
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Quantum
- volume
- 9
- article number
- 1944
- publisher
- Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
- external identifiers
-
- scopus:105025125904
- ISSN
- 2521-327X
- DOI
- 10.22331/q-2025-12-15-1944
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © Published under CC-BY 4.0.
- id
- a5367d53-a512-4685-ae05-73b06e4f15ee
- date added to LUP
- 2026-03-02 13:36:32
- date last changed
- 2026-03-02 13:36:57
@article{a5367d53-a512-4685-ae05-73b06e4f15ee,
abstract = {{<p>Recent years have seen a surge of interest in exceptional points in open quantum systems. The natural approach in this area has been the use of Markovian master equations. While the resulting Liouvillian EPs have been seen in a variety of systems and have been associated to numerous exotic effects, it is an open question whether such degeneracies and their peculiarities can persist beyond the validity of master equations. In this work, taking the example of a dissipative double-quantum-dot system, we show that exact Heisenberg equations governing system and bath dynamics exhibit the same EPs as the corresponding master equations. To highlight the importance of this finding, we prove that the paradigmatic property associated to EPs - critical damping, persists well beyond the validity of master equations. Our results demonstrate that Liouvillian EPs can arise from underlying fundamental exact principles, rather than merely as a consequence of approximations involved in deriving master equations.</p>}},
author = {{Khandelwal, Shishir and Blasi, Gianmichele}},
issn = {{2521-327X}},
language = {{eng}},
month = {{12}},
publisher = {{Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften}},
series = {{Quantum}},
title = {{Emergent Liouvillian exceptional points from exact principles}},
url = {{http://dx.doi.org/10.22331/q-2025-12-15-1944}},
doi = {{10.22331/q-2025-12-15-1944}},
volume = {{9}},
year = {{2025}},
}