Accurate Truncations of Chain Mapping Models for Open Quantum Systems
The dynamics of open quantum systems are of great interest in many research fields, such as for the interaction of a quantum emitter with the electromagnetic modes of a nanophotonic structure. A powerful approach for treating such setups in the non-Markovian limit is given by the chain mapping where...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/11/8/2104 |
| _version_ | 1797522636067045376 |
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| author | Mónica Sánchez-Barquilla Johannes Feist |
| author_facet | Mónica Sánchez-Barquilla Johannes Feist |
| author_sort | Mónica Sánchez-Barquilla |
| collection | DOAJ |
| description | The dynamics of open quantum systems are of great interest in many research fields, such as for the interaction of a quantum emitter with the electromagnetic modes of a nanophotonic structure. A powerful approach for treating such setups in the non-Markovian limit is given by the chain mapping where an arbitrary environment can be transformed to a chain of modes with only nearest-neighbor coupling. However, when long propagation times are desired, the required long chain lengths limit the utility of this approach. We study various approaches for truncating the chains at manageable lengths while still preserving an accurate description of the dynamics. We achieve this by introducing losses to the chain modes in such a way that the effective environment acting on the system remains unchanged, using a number of different strategies. Furthermore, we demonstrate that extending the chain mapping to allow next-nearest neighbor coupling permits the reproduction of an arbitrary environment, and adding longer-range interactions does not further increase the effective number of degrees of freedom in the environment. |
| first_indexed | 2024-03-10T08:31:14Z |
| format | Article |
| id | doaj.art-6c83406902d6442c842bf8b1092abce4 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T08:31:14Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-6c83406902d6442c842bf8b1092abce42023-11-22T09:00:33ZengMDPI AGNanomaterials2079-49912021-08-01118210410.3390/nano11082104Accurate Truncations of Chain Mapping Models for Open Quantum SystemsMónica Sánchez-Barquilla0Johannes Feist1Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, E-28049 Madrid, SpainDepartamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, E-28049 Madrid, SpainThe dynamics of open quantum systems are of great interest in many research fields, such as for the interaction of a quantum emitter with the electromagnetic modes of a nanophotonic structure. A powerful approach for treating such setups in the non-Markovian limit is given by the chain mapping where an arbitrary environment can be transformed to a chain of modes with only nearest-neighbor coupling. However, when long propagation times are desired, the required long chain lengths limit the utility of this approach. We study various approaches for truncating the chains at manageable lengths while still preserving an accurate description of the dynamics. We achieve this by introducing losses to the chain modes in such a way that the effective environment acting on the system remains unchanged, using a number of different strategies. Furthermore, we demonstrate that extending the chain mapping to allow next-nearest neighbor coupling permits the reproduction of an arbitrary environment, and adding longer-range interactions does not further increase the effective number of degrees of freedom in the environment.https://www.mdpi.com/2079-4991/11/8/2104nanophotonicsquantum dissipationchain mappingnon-Markovian dynamicsspectral densityharmonic oscillators |
| spellingShingle | Mónica Sánchez-Barquilla Johannes Feist Accurate Truncations of Chain Mapping Models for Open Quantum Systems Nanomaterials nanophotonics quantum dissipation chain mapping non-Markovian dynamics spectral density harmonic oscillators |
| title | Accurate Truncations of Chain Mapping Models for Open Quantum Systems |
| title_full | Accurate Truncations of Chain Mapping Models for Open Quantum Systems |
| title_fullStr | Accurate Truncations of Chain Mapping Models for Open Quantum Systems |
| title_full_unstemmed | Accurate Truncations of Chain Mapping Models for Open Quantum Systems |
| title_short | Accurate Truncations of Chain Mapping Models for Open Quantum Systems |
| title_sort | accurate truncations of chain mapping models for open quantum systems |
| topic | nanophotonics quantum dissipation chain mapping non-Markovian dynamics spectral density harmonic oscillators |
| url | https://www.mdpi.com/2079-4991/11/8/2104 |
| work_keys_str_mv | AT monicasanchezbarquilla accuratetruncationsofchainmappingmodelsforopenquantumsystems AT johannesfeist accuratetruncationsofchainmappingmodelsforopenquantumsystems |