Back
Generating high-order quantum exceptional points in synthetic dimensions
Authors:
- Ievgen I. Arkhipov,
- Fabrizio Minganti,
- Adam Miranowicz,
- Franco Nori
- Record ID
- UAMc08f405bb81b463cb09f119d5c30d03c
- Author
- Journal series
- Physical Review A, ISSN 2469-9926, e-ISSN 2469-9934
- Issue year
- 2021
- Vol
- 104
- No
- 1
- Article number
- 012205
- Keywords in original language
- Dissipative dynamics ; Open quantum systems ; PT-symmetric quantum mechanics ; Nonequilibrium systems ; Optical microcavities ; Markovian processes ; Quantum master equation
- ASJC Classification
- Abstract in original language
- Recently, there has been intense research in proposing and developing various methods for constructing high-order exceptional points (EPs) in dissipative systems. These EPs can possess a number of intriguing properties related to, e.g., chiral transport and enhanced sensitivity. Previous proposals to realize non-Hermitian Hamiltonians (NHHs) with high-order EPs have been mainly based on either direct construction of spatial networks of coupled modes or utilization of synthetic dimensions, e.g., mapping of spatial lattices to time or photon-number space. Both methods rely on the construction of effective NHHs describing classical or postselected quantum fields, which neglect the effects of quantum jumps and which, thus, suffer from a scalability problem in the quantum regime, when the probability of quantum jumps increases with the number of excitations and dissipation rate. Here, by considering the full quantum dynamics of a quadratic Liouvillian superoperator, we introduce a simple and effective method for engineering NHHs with high-order quantum EPs, derived from evolution matrices of system operator moments. That is, by quantizing higher-order moments of system operators, e.g., of a quadratic two-mode system, the resulting evolution matrices can be interpreted as alternative NHHs describing, e.g., a spatial lattice of coupled resonators, where spatial sites are represented by high-order field moments in the synthetic space of field moments. Notably, such a mapping allows correct reproduction of the results of the Liouvillian dynamics, including quantum jumps. As an example, we consider a U(1)-symmetric quadratic Liouvillian describing a bimodal cavity with incoherent mode coupling, which can also possess anti−PT symmetry, whose field moment dynamics can be mapped to an NHH governing a spatial network of coupled resonators with high-order EPs.
- DOI
- DOI:10.1103/physreva.104.012205 Opening in a new tab
- URL
- https://doi.org/10.1103/physreva.104.012205 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 100
- Score source
- journalList
- Score
- = 100.0, 13-05-2022, ArticleFromJournal
- Publication indicators
- = 7; : 2017 = 0.886; : 2019 (2 years) = 2.777 - 2019 (5 years) =2.598
- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMc08f405bb81b463cb09f119d5c30d03c/
- URN
urn:amu-prod:UAMc08f405bb81b463cb09f119d5c30d03c
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.