Two Spin-1/2 Particles Interacting with a Common Environment
We know that the quantum system evolves to different physical phenomena according to initial states. However, the situation is very different in the open system. We consider the system and the environment governed by the Markovian process. The density matrix (the reduced density matrix) of the syste...
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| Veröffentlicht in: | Journal of physics. Conference series 2013-01, Vol.410 (1), p.12016-4 |
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| container_title | Journal of physics. Conference series |
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| creator | Lee, Hyuk-jae Lee, Seok Woo, Deok Ha Lee, Taik Jin Kim, Chul Ki Kim, Jae Hun |
| description | We know that the quantum system evolves to different physical phenomena according to initial states. However, the situation is very different in the open system. We consider the system and the environment governed by the Markovian process. The density matrix (the reduced density matrix) of the system satisfies the Kossakowski-Lindblad equation. We calculate the expectation value of the z-direction-magnetization in the system for various types of 1) initial states and 2) interactions between the system and the environment. In all the cases, the values of the magnetization approached asymptotically to the same point even though the different initial states and different interaction types between the system and the environment are applied. The paths to asymptotically approach the final values are different according to the initial states and the interactions. These facts show that the physical results of expectation value are independent of the initial states. |
| doi_str_mv | 10.1088/1742-6596/410/1/012016 |
| format | Article |
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However, the situation is very different in the open system. We consider the system and the environment governed by the Markovian process. The density matrix (the reduced density matrix) of the system satisfies the Kossakowski-Lindblad equation. We calculate the expectation value of the z-direction-magnetization in the system for various types of 1) initial states and 2) interactions between the system and the environment. In all the cases, the values of the magnetization approached asymptotically to the same point even though the different initial states and different interaction types between the system and the environment are applied. The paths to asymptotically approach the final values are different according to the initial states and the interactions. These facts show that the physical results of expectation value are independent of the initial states.</description><identifier>ISSN: 1742-6596</identifier><identifier>ISSN: 1742-6588</identifier><identifier>EISSN: 1742-6596</identifier><identifier>DOI: 10.1088/1742-6596/410/1/012016</identifier><language>eng</language><publisher>Bristol: IOP Publishing</publisher><subject>Asymptotic properties ; Density ; Magnetization ; Markov processes ; Mathematical analysis ; Open systems ; Particle spin ; Particles (of physics) ; Physics ; Quantum theory</subject><ispartof>Journal of physics. 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Conference series</title><description>We know that the quantum system evolves to different physical phenomena according to initial states. However, the situation is very different in the open system. We consider the system and the environment governed by the Markovian process. The density matrix (the reduced density matrix) of the system satisfies the Kossakowski-Lindblad equation. We calculate the expectation value of the z-direction-magnetization in the system for various types of 1) initial states and 2) interactions between the system and the environment. In all the cases, the values of the magnetization approached asymptotically to the same point even though the different initial states and different interaction types between the system and the environment are applied. The paths to asymptotically approach the final values are different according to the initial states and the interactions. These facts show that the physical results of expectation value are independent of the initial states.</description><subject>Asymptotic properties</subject><subject>Density</subject><subject>Magnetization</subject><subject>Markov processes</subject><subject>Mathematical analysis</subject><subject>Open systems</subject><subject>Particle spin</subject><subject>Particles (of physics)</subject><subject>Physics</subject><subject>Quantum theory</subject><issn>1742-6596</issn><issn>1742-6588</issn><issn>1742-6596</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpdkFFLwzAQx4MoOKdfQQq--FKbS9IkA19kTB0MFJzPIU1S7WiTmXQOv70tExHv5Y7__TiOH0KXgG8AS1mAYCTn5YwXDHABBQaCgR-hye_i-M98is5S2mBMhxITdLveh-xl2_gcCpI969g3pnUpW_reRW36xr9l-6Z_z3Q2D10XfLbwn00MvnO-P0cntW6Tu_jpU_R6v1jPH_PV08NyfrfKDQXocxC1oIAdtazSxjLgFdeaEWuhZsxJUVlJbUW1caRmtKqt1ZyWkghtGBacTtH14e42ho-dS73qmmRc22rvwi4pECBnogSQA3r1D92EXfTDd4qUQhDGJGcDxQ-UiSGl6Gq1jU2n45cCrEapavSlRl-KjZE6SKXft1Borw</recordid><startdate>20130101</startdate><enddate>20130101</enddate><creator>Lee, Hyuk-jae</creator><creator>Lee, Seok</creator><creator>Woo, Deok Ha</creator><creator>Lee, Taik Jin</creator><creator>Kim, Chul Ki</creator><creator>Kim, Jae Hun</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>L7M</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7U5</scope><scope>8BQ</scope><scope>JG9</scope></search><sort><creationdate>20130101</creationdate><title>Two Spin-1/2 Particles Interacting with a Common Environment</title><author>Lee, Hyuk-jae ; Lee, Seok ; Woo, Deok Ha ; Lee, Taik Jin ; Kim, Chul Ki ; Kim, Jae Hun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c311t-17f7310e3d4bacd416b6aa42dd1f44e87bd83db3ace2f43bfdda635827ac40763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Asymptotic properties</topic><topic>Density</topic><topic>Magnetization</topic><topic>Markov processes</topic><topic>Mathematical analysis</topic><topic>Open systems</topic><topic>Particle spin</topic><topic>Particles (of physics)</topic><topic>Physics</topic><topic>Quantum theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, Hyuk-jae</creatorcontrib><creatorcontrib>Lee, Seok</creatorcontrib><creatorcontrib>Woo, Deok Ha</creatorcontrib><creatorcontrib>Lee, Taik Jin</creatorcontrib><creatorcontrib>Kim, Chul Ki</creatorcontrib><creatorcontrib>Kim, Jae Hun</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Materials Research Database</collection><jtitle>Journal of physics. 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| subjects | Asymptotic properties Density Magnetization Markov processes Mathematical analysis Open systems Particle spin Particles (of physics) Physics Quantum theory |
| title | Two Spin-1/2 Particles Interacting with a Common Environment |
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