Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models
The reduced dynamics formalism has recently emerged as a powerful tool to study the dynamics of non-equilibrium quantum impurity models in strongly correlated regimes. Examples include the non-equilibrium Anderson impurity model near the Kondo crossover temperature and the non-equilibrium Holstein m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/7/073018 |
| _version_ | 1797751535811166208 |
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| author | Guy Cohen Eli Y Wilner Eran Rabani |
| author_facet | Guy Cohen Eli Y Wilner Eran Rabani |
| author_sort | Guy Cohen |
| collection | DOAJ |
| description | The reduced dynamics formalism has recently emerged as a powerful tool to study the dynamics of non-equilibrium quantum impurity models in strongly correlated regimes. Examples include the non-equilibrium Anderson impurity model near the Kondo crossover temperature and the non-equilibrium Holstein model, for which the formalism provides an accurate description of the reduced density matrix of the system for a wide range of timescales. In this work, we generalize the formalism to allow for non-system observables such as the current between the impurity and leads. We show that the equation of motion for the reduced observable of interest can be closed with the equation of motion for the reduced density matrix and demonstrate the new formalism for a generic resonant level model. |
| first_indexed | 2024-03-12T16:49:54Z |
| format | Article |
| id | doaj.art-bf9a9a94d18e44859392396501cff7ab |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:54Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-bf9a9a94d18e44859392396501cff7ab2023-08-08T11:23:58ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115707301810.1088/1367-2630/15/7/073018Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity modelsGuy Cohen0Eli Y Wilner1Eran Rabani2Department of Chemistry, Columbia University , New York, NY 10027, USA; Department of Physics, Columbia University , New York, NY 10027, USASchool of Physics and Astronomy, The Sackler Faculty of Exact Sciences, Tel Aviv University , Tel Aviv 69978, IsraelSchool of Chemistry, The Sackler Faculty of Exact Sciences, Tel Aviv University , Tel Aviv 69978, IsraelThe reduced dynamics formalism has recently emerged as a powerful tool to study the dynamics of non-equilibrium quantum impurity models in strongly correlated regimes. Examples include the non-equilibrium Anderson impurity model near the Kondo crossover temperature and the non-equilibrium Holstein model, for which the formalism provides an accurate description of the reduced density matrix of the system for a wide range of timescales. In this work, we generalize the formalism to allow for non-system observables such as the current between the impurity and leads. We show that the equation of motion for the reduced observable of interest can be closed with the equation of motion for the reduced density matrix and demonstrate the new formalism for a generic resonant level model.https://doi.org/10.1088/1367-2630/15/7/073018 |
| spellingShingle | Guy Cohen Eli Y Wilner Eran Rabani Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models New Journal of Physics |
| title | Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models |
| title_full | Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models |
| title_fullStr | Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models |
| title_full_unstemmed | Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models |
| title_short | Generalized projected dynamics for non-system observables of non-equilibrium quantum impurity models |
| title_sort | generalized projected dynamics for non system observables of non equilibrium quantum impurity models |
| url | https://doi.org/10.1088/1367-2630/15/7/073018 |
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