Protecting coherence by environmental decoherence: a solvable paradigmatic model
We consider a particularly simple exactly solvable model for a qubit coupled to sequentially nested environments. The purpose is to exemplify the coherence conserving effect of a central system, that has been reported as a result of increasing the coupling between near and far environment. The parad...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2017-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa910c |
| _version_ | 1827873204861927424 |
|---|---|
| author | Juan Mauricio Torres Thomas H Seligman |
| author_facet | Juan Mauricio Torres Thomas H Seligman |
| author_sort | Juan Mauricio Torres |
| collection | DOAJ |
| description | We consider a particularly simple exactly solvable model for a qubit coupled to sequentially nested environments. The purpose is to exemplify the coherence conserving effect of a central system, that has been reported as a result of increasing the coupling between near and far environment. The paradigmatic example is the Jaynes–Cummings Hamiltonian, which we introduce into a Kossakowski–Lindblad master equation using alternatively the lowering operator of the oscillator or its number operator as Lindblad operators. The harmonic oscillator is regarded as the near environment of the qubit, while effects of a far environment are accounted for by the two options for the dissipative part of the master equation. The exact solution allows us to cover the entire range of coupling strength from the perturbative regime to strong coupling analytically. The coherence conserving effect of the coupling to the far environment is confirmed throughout. |
| first_indexed | 2024-03-12T16:34:07Z |
| format | Article |
| id | doaj.art-0cc7bc44ae0540c4bc8c4372f186dfa4 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:34:07Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-0cc7bc44ae0540c4bc8c4372f186dfa42023-08-08T14:56:06ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191111301610.1088/1367-2630/aa910cProtecting coherence by environmental decoherence: a solvable paradigmatic modelJuan Mauricio Torres0Thomas H Seligman1Instituto de Física, Benemérita Universidad Autónoma de Puebla , Apartado Postal J-48, Puebla 72570, Mexico; Institut für Angewandte Physik, Technische Universität Darmstadt , D-64289, GermanyInstituto de Ciencias Físicas, Universidad Nacional Autónoma de México , Cuernavaca, Morelos, Mexico; Centro Internacional de Ciencias A. C., Cuernavaca, Morelos, MexicoWe consider a particularly simple exactly solvable model for a qubit coupled to sequentially nested environments. The purpose is to exemplify the coherence conserving effect of a central system, that has been reported as a result of increasing the coupling between near and far environment. The paradigmatic example is the Jaynes–Cummings Hamiltonian, which we introduce into a Kossakowski–Lindblad master equation using alternatively the lowering operator of the oscillator or its number operator as Lindblad operators. The harmonic oscillator is regarded as the near environment of the qubit, while effects of a far environment are accounted for by the two options for the dissipative part of the master equation. The exact solution allows us to cover the entire range of coupling strength from the perturbative regime to strong coupling analytically. The coherence conserving effect of the coupling to the far environment is confirmed throughout.https://doi.org/10.1088/1367-2630/aa910cdecoherenceopen quantum systemscavity quantum electrodynamics |
| spellingShingle | Juan Mauricio Torres Thomas H Seligman Protecting coherence by environmental decoherence: a solvable paradigmatic model New Journal of Physics decoherence open quantum systems cavity quantum electrodynamics |
| title | Protecting coherence by environmental decoherence: a solvable paradigmatic model |
| title_full | Protecting coherence by environmental decoherence: a solvable paradigmatic model |
| title_fullStr | Protecting coherence by environmental decoherence: a solvable paradigmatic model |
| title_full_unstemmed | Protecting coherence by environmental decoherence: a solvable paradigmatic model |
| title_short | Protecting coherence by environmental decoherence: a solvable paradigmatic model |
| title_sort | protecting coherence by environmental decoherence a solvable paradigmatic model |
| topic | decoherence open quantum systems cavity quantum electrodynamics |
| url | https://doi.org/10.1088/1367-2630/aa910c |
| work_keys_str_mv | AT juanmauriciotorres protectingcoherencebyenvironmentaldecoherenceasolvableparadigmaticmodel AT thomashseligman protectingcoherencebyenvironmentaldecoherenceasolvableparadigmaticmodel |