Equal-time approach to real-time dynamics of quantum fields
We employ the equal-time formulation of quantum field theory to derive effective kinetic theories, first for a weakly coupled non-relativistic Bose gas, and then for a strongly correlated system of self-interacting $N$-component fields. Our results provide the link between state-of-the-art measureme...
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| Format: | Article |
| Language: | English |
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SciPost
2023-02-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.2.011 |
| _version_ | 1797937133011337216 |
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| author | Robert Ott, Torsten V. Zache, Jürgen Berges |
| author_facet | Robert Ott, Torsten V. Zache, Jürgen Berges |
| author_sort | Robert Ott, Torsten V. Zache, Jürgen Berges |
| collection | DOAJ |
| description | We employ the equal-time formulation of quantum field theory to derive effective kinetic theories, first for a weakly coupled non-relativistic Bose gas, and then for a strongly correlated system of self-interacting $N$-component fields. Our results provide the link between state-of-the-art measurements of equal-time effective actions using quantum simulator platforms, as employed in [Phys. Rev. X 10, 011020 (2020); Nat. Phys. 16, 1012 (2020)], and observables underlying effective kinetic or hydrodynamic descriptions. New non-perturbative approximation schemes can be developed and certified this way, where the a priori time-local formulation of the equal-time effective action has crucial advantages over the conventional closed-time-path approach which is non-local in time. |
| first_indexed | 2024-04-10T18:39:57Z |
| format | Article |
| id | doaj.art-ba810c62b4ff4cdba670e3acd75c1c32 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-10T18:39:57Z |
| publishDate | 2023-02-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-ba810c62b4ff4cdba670e3acd75c1c322023-02-01T17:28:27ZengSciPostSciPost Physics2542-46532023-02-0114201110.21468/SciPostPhys.14.2.011Equal-time approach to real-time dynamics of quantum fieldsRobert Ott, Torsten V. Zache, Jürgen BergesWe employ the equal-time formulation of quantum field theory to derive effective kinetic theories, first for a weakly coupled non-relativistic Bose gas, and then for a strongly correlated system of self-interacting $N$-component fields. Our results provide the link between state-of-the-art measurements of equal-time effective actions using quantum simulator platforms, as employed in [Phys. Rev. X 10, 011020 (2020); Nat. Phys. 16, 1012 (2020)], and observables underlying effective kinetic or hydrodynamic descriptions. New non-perturbative approximation schemes can be developed and certified this way, where the a priori time-local formulation of the equal-time effective action has crucial advantages over the conventional closed-time-path approach which is non-local in time.https://scipost.org/SciPostPhys.14.2.011 |
| spellingShingle | Robert Ott, Torsten V. Zache, Jürgen Berges Equal-time approach to real-time dynamics of quantum fields SciPost Physics |
| title | Equal-time approach to real-time dynamics of quantum fields |
| title_full | Equal-time approach to real-time dynamics of quantum fields |
| title_fullStr | Equal-time approach to real-time dynamics of quantum fields |
| title_full_unstemmed | Equal-time approach to real-time dynamics of quantum fields |
| title_short | Equal-time approach to real-time dynamics of quantum fields |
| title_sort | equal time approach to real time dynamics of quantum fields |
| url | https://scipost.org/SciPostPhys.14.2.011 |
| work_keys_str_mv | AT robertotttorstenvzachejurgenberges equaltimeapproachtorealtimedynamicsofquantumfields |