The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System
We consider a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric system that involves three optical r...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/2/203 |
| _version_ | 1797406814710530048 |
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| author | Vinh Le Duc Mateusz Nowotarski Joanna K. Kalaga |
| author_facet | Vinh Le Duc Mateusz Nowotarski Joanna K. Kalaga |
| author_sort | Vinh Le Duc |
| collection | DOAJ |
| description | We consider a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric system that involves three optical resonant elements coupled together. We investigate the quantum correlations between subsystems by calculating bipartite and tripartite entanglement. We show that when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetry is maintained, the correlations between subsystems strongly depend on the parameters describing the interaction between them and characterizing the gain and loss of energy in the system’s active and passive elements. We estimate the range of interaction parameter values for which the strongest bipartite and tripartite entanglement can be produced. Additionally, we show that the discussed system can be a source of stable entangled states. |
| first_indexed | 2024-03-09T03:32:03Z |
| format | Article |
| id | doaj.art-ffef89dcd1134fccb26b35123ed13231 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T03:32:03Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-ffef89dcd1134fccb26b35123ed132312023-12-03T14:54:53ZengMDPI AGSymmetry2073-89942021-01-0113220310.3390/sym13020203The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric SystemVinh Le Duc0Mateusz Nowotarski1Joanna K. Kalaga2Quantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, PolandQuantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, PolandQuantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, PolandWe consider a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetric system that involves three optical resonant elements coupled together. We investigate the quantum correlations between subsystems by calculating bipartite and tripartite entanglement. We show that when <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-symmetry is maintained, the correlations between subsystems strongly depend on the parameters describing the interaction between them and characterizing the gain and loss of energy in the system’s active and passive elements. We estimate the range of interaction parameter values for which the strongest bipartite and tripartite entanglement can be produced. Additionally, we show that the discussed system can be a source of stable entangled states.https://www.mdpi.com/2073-8994/13/2/203<named-content content-type="equation"><inline-formula> <mml:math id="mm1112" display="block"> <mml:semantics> <mml:mi mathvariant="script">PT</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-symmetrybipartite entanglementtripartite entanglementnegativity |
| spellingShingle | Vinh Le Duc Mateusz Nowotarski Joanna K. Kalaga The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System Symmetry <named-content content-type="equation"><inline-formula> <mml:math id="mm1112" display="block"> <mml:semantics> <mml:mi mathvariant="script">PT</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-symmetry bipartite entanglement tripartite entanglement negativity |
| title | The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System |
| title_full | The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System |
| title_fullStr | The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System |
| title_full_unstemmed | The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System |
| title_short | The Bipartite and Tripartite Entanglement in <inline-formula><math display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula>-Symmetric System |
| title_sort | bipartite and tripartite entanglement in inline formula math display inline semantics mi mathvariant script pt mi semantics math inline formula symmetric system |
| topic | <named-content content-type="equation"><inline-formula> <mml:math id="mm1112" display="block"> <mml:semantics> <mml:mi mathvariant="script">PT</mml:mi> </mml:semantics> </mml:math> </inline-formula></named-content>-symmetry bipartite entanglement tripartite entanglement negativity |
| url | https://www.mdpi.com/2073-8994/13/2/203 |
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