Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations
We study the bath dynamics in the dephasing model of a two-state quantum system (qubit) coupled to an environment of harmonic oscillators. This model was shown [Morozov et al., Phys. Rev. A, 2012 85, 022101] to admit the analytic solution for the qubit and environment dynamics. Using this solution,...
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2013-01-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.16.34001 |
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| author | V.V. Ignatyuk V.G. Morozov |
| author_facet | V.V. Ignatyuk V.G. Morozov |
| author_sort | V.V. Ignatyuk |
| collection | DOAJ |
| description | We study the bath dynamics in the dephasing model of a two-state quantum system (qubit) coupled to an environment of harmonic oscillators. This model was shown [Morozov et al., Phys. Rev. A, 2012 85, 022101] to admit the analytic solution for the qubit and environment dynamics. Using this solution, we derive the exact expression for the bath reduced density matrix in the presence of initial qubit-environment correlations. We obtain the non-equilibrium phonon distribution function and discuss in detail the time behavior of the bath energy. It is shown that only the inclusion of dynamic correlations between the qubit and the bath ensures the proper time behavior of the quantity which may be interpreted as the "environment energy". |
| first_indexed | 2024-04-14T01:36:28Z |
| format | Article |
| id | doaj.art-25e43f7c27ff4540995ef3d1723d4c9a |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-04-14T01:36:28Z |
| publishDate | 2013-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-25e43f7c27ff4540995ef3d1723d4c9a2022-12-22T02:19:56ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2013-01-011633400110.5488/CMP.16.34001Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlationsV.V. IgnatyukV.G. MorozovWe study the bath dynamics in the dephasing model of a two-state quantum system (qubit) coupled to an environment of harmonic oscillators. This model was shown [Morozov et al., Phys. Rev. A, 2012 85, 022101] to admit the analytic solution for the qubit and environment dynamics. Using this solution, we derive the exact expression for the bath reduced density matrix in the presence of initial qubit-environment correlations. We obtain the non-equilibrium phonon distribution function and discuss in detail the time behavior of the bath energy. It is shown that only the inclusion of dynamic correlations between the qubit and the bath ensures the proper time behavior of the quantity which may be interpreted as the "environment energy".http://dx.doi.org/10.5488/CMP.16.34001open quantum systemsqubit-environment correlations |
| spellingShingle | V.V. Ignatyuk V.G. Morozov Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations Condensed Matter Physics open quantum systems qubit-environment correlations |
| title | Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations |
| title_full | Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations |
| title_fullStr | Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations |
| title_full_unstemmed | Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations |
| title_short | Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations |
| title_sort | bath dynamics in an exactly solvable qubit model with initial qubit environment correlations |
| topic | open quantum systems qubit-environment correlations |
| url | http://dx.doi.org/10.5488/CMP.16.34001 |
| work_keys_str_mv | AT vvignatyuk bathdynamicsinanexactlysolvablequbitmodelwithinitialqubitenvironmentcorrelations AT vgmorozov bathdynamicsinanexactlysolvablequbitmodelwithinitialqubitenvironmentcorrelations |