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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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 September 2010
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| In: |
The European physical journal. C, Particles and fields
Year: 2010, Volume: 70, Issue: 1-2, Pages: 423-443 |
| ISSN: | 1434-6052 |
| DOI: | 10.1140/epjc/s10052-010-1430-3 |
| Online Access: | 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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| Author Notes: | Thomas Gasenzer, Stefan Keßler, Jan M. Pawlowski |
MARC
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| 520 | |a 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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