Permutational symmetry for identical multilevel systems: A second-quantized approach
We develop a framework that provides a straightforward approach to fully exploit the permutational symmetry of identical multilevel systems. By taking into account the permutational symmetry, we outline a simple scheme that allows us to map the dynamics of N identical d-level systems to the dynamics...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2022 |
| Country: | España |
| Institution: | Universidad Autónoma de Madrid |
| Repository: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Language: | English |
| OAI Identifier: | oai:repositorio.uam.es:10486/705830 |
| Online Access: | http://hdl.handle.net/10486/705830 https://dx.doi.org/10.1103/PhysRevA.105.043704 |
| Access Level: | Open access |
| Keyword: | Permutational Symmetry Holstein-Tavis-Cummings Model Física |
| Summary: | We develop a framework that provides a straightforward approach to fully exploit the permutational symmetry of identical multilevel systems. By taking into account the permutational symmetry, we outline a simple scheme that allows us to map the dynamics of N identical d-level systems to the dynamics of d bosonic modes with N particles, achieving an exponential reduction on the dimensionality of the problem in a simple and straightforward way. In particular, we consider the Lindblad dynamics of several identical multilevel systems interacting with a common subsystem under the action of collective dissipation terms |
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