Introduction to the theory of open quantum systems
This manuscript is an edited and refined version of the lecture script for a one-semester graduate course given originally at the PhD school in the Institute of Physics of Polish Academy of Sciences in the Spring/Summer semester of 2022. The course expects from the student only a basic knowledge on...
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| Format: | Article |
| Language: | English |
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SciPost
2023-04-01
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| Series: | SciPost Physics Lecture Notes |
| Online Access: | https://scipost.org/SciPostPhysLectNotes.68 |
| _version_ | 1797844472498749440 |
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| author | Piotr Szańkowski |
| author_facet | Piotr Szańkowski |
| author_sort | Piotr Szańkowski |
| collection | DOAJ |
| description | This manuscript is an edited and refined version of the lecture script for a one-semester graduate course given originally at the PhD school in the Institute of Physics of Polish Academy of Sciences in the Spring/Summer semester of 2022. The course expects from the student only a basic knowledge on graduate-level quantum mechanics. The script itself is largely self-contained and could be used as a textbook on the topic of open quantum systems. The program of this course is based on a novel approach to the description of the open system dynamics: It is showed how the environmental degrees of freedom coupled to the system can be represented by a multi-component quasi-stochastic process. Using this representation one constructs the super-quasi-cumulant (or super-qumulant) expansion for the system's dynamical map-a parametrization that naturally lends itself for the development of a robust and practical perturbation theory. Thus, even an experienced researcher might find this manuscript of some interest. |
| first_indexed | 2024-04-09T17:23:36Z |
| format | Article |
| id | doaj.art-8744a48cd82a4ea8aa271933f8cb7703 |
| institution | Directory Open Access Journal |
| issn | 2590-1990 |
| language | English |
| last_indexed | 2024-04-09T17:23:36Z |
| publishDate | 2023-04-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Lecture Notes |
| spelling | doaj.art-8744a48cd82a4ea8aa271933f8cb77032023-04-18T18:47:34ZengSciPostSciPost Physics Lecture Notes2590-19902023-04-016810.21468/SciPostPhysLectNotes.68Introduction to the theory of open quantum systemsPiotr SzańkowskiThis manuscript is an edited and refined version of the lecture script for a one-semester graduate course given originally at the PhD school in the Institute of Physics of Polish Academy of Sciences in the Spring/Summer semester of 2022. The course expects from the student only a basic knowledge on graduate-level quantum mechanics. The script itself is largely self-contained and could be used as a textbook on the topic of open quantum systems. The program of this course is based on a novel approach to the description of the open system dynamics: It is showed how the environmental degrees of freedom coupled to the system can be represented by a multi-component quasi-stochastic process. Using this representation one constructs the super-quasi-cumulant (or super-qumulant) expansion for the system's dynamical map-a parametrization that naturally lends itself for the development of a robust and practical perturbation theory. Thus, even an experienced researcher might find this manuscript of some interest.https://scipost.org/SciPostPhysLectNotes.68 |
| spellingShingle | Piotr Szańkowski Introduction to the theory of open quantum systems SciPost Physics Lecture Notes |
| title | Introduction to the theory of open quantum systems |
| title_full | Introduction to the theory of open quantum systems |
| title_fullStr | Introduction to the theory of open quantum systems |
| title_full_unstemmed | Introduction to the theory of open quantum systems |
| title_short | Introduction to the theory of open quantum systems |
| title_sort | introduction to the theory of open quantum systems |
| url | https://scipost.org/SciPostPhysLectNotes.68 |
| work_keys_str_mv | AT piotrszankowski introductiontothetheoryofopenquantumsystems |