Far-from-equilibrium quantum many-body dynamics

A theory of real-time quantum many-body dynamics is evaluated in detail. It is based on a generating functional of correlation functions where the closed time contour extends only to a given time. Expanding the contour from this time to a later time leads to a dynamic flow of the generating function...

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Hauptverfasser: Gasenzer, Thomas (VerfasserIn) , Keßler, Stefan (VerfasserIn) , Pawlowski, Jan M. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 16 September 2010
In: The European physical journal. C, Particles and fields
Year: 2010, Jahrgang: 70, Heft: 1-2, Pages: 423-443
ISSN:1434-6052
DOI:10.1140/epjc/s10052-010-1430-3
Online-Zugang:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1140/epjc/s10052-010-1430-3
Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1140/epjc/s10052-010-1430-3
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Verfasserangaben:Thomas Gasenzer, Stefan Keßler, Jan M. Pawlowski
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Zusammenfassung:A theory of real-time quantum many-body dynamics is evaluated in detail. It is based on a generating functional of correlation functions where the closed time contour extends only to a given time. Expanding the contour from this time to a later time leads to a dynamic flow of the generating functional. This flow describes the dynamics of the system and has an explicit causal structure. In the present work it is evaluated within a vertex expansion of the effective action leading to time-evolution equations for Green functions. These equations are applicable for strongly interacting systems as well as for studying the late-time behavior of non-equilibrium time evolution. For the specific case of a bosonic NN\mathcal{N}-component φ4-theory with contact interactions an s-channel truncation is identified to yield equations identical to those derived from the 2PI effective action in next-to-leading order of a 1/N1/N1/\mathcal{N} expansion. The presented approach allows to directly obtain non-perturbative dynamic equations beyond the widely used 2PI approximations.
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Beschreibung:Online Resource
ISSN:1434-6052
DOI:10.1140/epjc/s10052-010-1430-3