Steady state engineering of a two-level system by the mixed-state inverse engineering scheme
Abstract The mixed-state inverse engineering scheme is a control scheme used for engineering the quantum state of a driven open quantum system from an initial steady state to a final steady state. In this paper, we present an analytical study of this scheme applied to the driven two-level model coup...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-02-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-53726-5 |
| _version_ | 1797275215510634496 |
|---|---|
| author | M. Z. Wang W. Ma S. L. Wu |
| author_facet | M. Z. Wang W. Ma S. L. Wu |
| author_sort | M. Z. Wang |
| collection | DOAJ |
| description | Abstract The mixed-state inverse engineering scheme is a control scheme used for engineering the quantum state of a driven open quantum system from an initial steady state to a final steady state. In this paper, we present an analytical study of this scheme applied to the driven two-level model coupled to a heat reservoir. Typically, when the purity of the quantum state varies, incoherent control techniques are required for mixed-state engineering. However, we show that for both Markovian and non-Markovian dynamics, coherent control protocols can transfer the quantum state into the target state. This simplification comes at a cost, as the evolution of the quantum state must be limited to restricted conditions, resulting in special trajectories in its Hilbert space that connect the initial and target states. |
| first_indexed | 2024-03-07T15:11:10Z |
| format | Article |
| id | doaj.art-7ff21b968c044b73ad60cdda7c5373e0 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-07T15:11:10Z |
| publishDate | 2024-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-7ff21b968c044b73ad60cdda7c5373e02024-03-05T18:39:13ZengNature PortfolioScientific Reports2045-23222024-02-0114111310.1038/s41598-024-53726-5Steady state engineering of a two-level system by the mixed-state inverse engineering schemeM. Z. Wang0W. Ma1S. L. Wu2School of Physics and Materials Engineering, Dalian Nationalities UniversitySchool of Physics and Materials Engineering, Dalian Nationalities UniversitySchool of Physics and Materials Engineering, Dalian Nationalities UniversityAbstract The mixed-state inverse engineering scheme is a control scheme used for engineering the quantum state of a driven open quantum system from an initial steady state to a final steady state. In this paper, we present an analytical study of this scheme applied to the driven two-level model coupled to a heat reservoir. Typically, when the purity of the quantum state varies, incoherent control techniques are required for mixed-state engineering. However, we show that for both Markovian and non-Markovian dynamics, coherent control protocols can transfer the quantum state into the target state. This simplification comes at a cost, as the evolution of the quantum state must be limited to restricted conditions, resulting in special trajectories in its Hilbert space that connect the initial and target states.https://doi.org/10.1038/s41598-024-53726-5 |
| spellingShingle | M. Z. Wang W. Ma S. L. Wu Steady state engineering of a two-level system by the mixed-state inverse engineering scheme Scientific Reports |
| title | Steady state engineering of a two-level system by the mixed-state inverse engineering scheme |
| title_full | Steady state engineering of a two-level system by the mixed-state inverse engineering scheme |
| title_fullStr | Steady state engineering of a two-level system by the mixed-state inverse engineering scheme |
| title_full_unstemmed | Steady state engineering of a two-level system by the mixed-state inverse engineering scheme |
| title_short | Steady state engineering of a two-level system by the mixed-state inverse engineering scheme |
| title_sort | steady state engineering of a two level system by the mixed state inverse engineering scheme |
| url | https://doi.org/10.1038/s41598-024-53726-5 |
| work_keys_str_mv | AT mzwang steadystateengineeringofatwolevelsystembythemixedstateinverseengineeringscheme AT wma steadystateengineeringofatwolevelsystembythemixedstateinverseengineeringscheme AT slwu steadystateengineeringofatwolevelsystembythemixedstateinverseengineeringscheme |