Current-conserving nonlinear response theory in driven systems
Employing the closed-time path 2PI effective action (CTP 2PI EA) approach, we study the response of an open interacting electronic system to time-dependent external electromagnetic fields. We show that the 2PI EA provides a systematic way of calculating the propagator and response functions of the s...
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2009
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09214526_v404_n18_p2854_PeraltaRamos http://hdl.handle.net/20.500.12110/paper_09214526_v404_n18_p2854_PeraltaRamos |
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paper:paper_09214526_v404_n18_p2854_PeraltaRamos2023-06-08T15:50:35Z Current-conserving nonlinear response theory in driven systems Peralta Ramos, Jerónimo Calzetta, Esteban Adolfo 2PI effective action Generalized Ward-Takahashi identities Nonlinear driven transport 2PI effective action Current conservation Driven system Electronic systems Expectation values External electromagnetic field Gauge transformation Generalized Ward-Takahashi identities Mean values Nonlinear driven transport Nonlinear response theory Response functions Time-dependent Electromagnetic fields Nonlinear control systems Employing the closed-time path 2PI effective action (CTP 2PI EA) approach, we study the response of an open interacting electronic system to time-dependent external electromagnetic fields. We show that the 2PI EA provides a systematic way of calculating the propagator and response functions of the system. Due to the invariance of the 2PI EA under external gauge transformations, the response functions calculated from it are such that the Ward-Takahashi hierarchy, which ensures current conservation beyond the expectation value level, is satisfied. These findings may be useful in the study of interacting electronic pumping devices, and serve to clarify the connection between current conservation (beyond the mean value level) and real-time nonlinear response theory. © 2009 Elsevier B.V. All rights reserved. Fil:Peralta-Ramos, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Calzetta, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09214526_v404_n18_p2854_PeraltaRamos http://hdl.handle.net/20.500.12110/paper_09214526_v404_n18_p2854_PeraltaRamos |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
2PI effective action Generalized Ward-Takahashi identities Nonlinear driven transport 2PI effective action Current conservation Driven system Electronic systems Expectation values External electromagnetic field Gauge transformation Generalized Ward-Takahashi identities Mean values Nonlinear driven transport Nonlinear response theory Response functions Time-dependent Electromagnetic fields Nonlinear control systems |
| spellingShingle |
2PI effective action Generalized Ward-Takahashi identities Nonlinear driven transport 2PI effective action Current conservation Driven system Electronic systems Expectation values External electromagnetic field Gauge transformation Generalized Ward-Takahashi identities Mean values Nonlinear driven transport Nonlinear response theory Response functions Time-dependent Electromagnetic fields Nonlinear control systems Peralta Ramos, Jerónimo Calzetta, Esteban Adolfo Current-conserving nonlinear response theory in driven systems |
| topic_facet |
2PI effective action Generalized Ward-Takahashi identities Nonlinear driven transport 2PI effective action Current conservation Driven system Electronic systems Expectation values External electromagnetic field Gauge transformation Generalized Ward-Takahashi identities Mean values Nonlinear driven transport Nonlinear response theory Response functions Time-dependent Electromagnetic fields Nonlinear control systems |
| description |
Employing the closed-time path 2PI effective action (CTP 2PI EA) approach, we study the response of an open interacting electronic system to time-dependent external electromagnetic fields. We show that the 2PI EA provides a systematic way of calculating the propagator and response functions of the system. Due to the invariance of the 2PI EA under external gauge transformations, the response functions calculated from it are such that the Ward-Takahashi hierarchy, which ensures current conservation beyond the expectation value level, is satisfied. These findings may be useful in the study of interacting electronic pumping devices, and serve to clarify the connection between current conservation (beyond the mean value level) and real-time nonlinear response theory. © 2009 Elsevier B.V. All rights reserved. |
| author |
Peralta Ramos, Jerónimo Calzetta, Esteban Adolfo |
| author_facet |
Peralta Ramos, Jerónimo Calzetta, Esteban Adolfo |
| author_sort |
Peralta Ramos, Jerónimo |
| title |
Current-conserving nonlinear response theory in driven systems |
| title_short |
Current-conserving nonlinear response theory in driven systems |
| title_full |
Current-conserving nonlinear response theory in driven systems |
| title_fullStr |
Current-conserving nonlinear response theory in driven systems |
| title_full_unstemmed |
Current-conserving nonlinear response theory in driven systems |
| title_sort |
current-conserving nonlinear response theory in driven systems |
| publishDate |
2009 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09214526_v404_n18_p2854_PeraltaRamos http://hdl.handle.net/20.500.12110/paper_09214526_v404_n18_p2854_PeraltaRamos |
| work_keys_str_mv |
AT peraltaramosjeronimo currentconservingnonlinearresponsetheoryindrivensystems AT calzettaestebanadolfo currentconservingnonlinearresponsetheoryindrivensystems |
| _version_ |
1768541901144719360 |