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Analyzing and predicting non-equilibrium many-body dynamics via dynamic mode decomposition.
- Source :
-
Journal of Computational Physics . Mar2023, Vol. 477, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- Simulating the dynamics of a nonequilibrium quantum many-body system by computing the two-time Green's function associated with such a system is computationally challenging. However, we are often interested in the time-diagonal of such a Green's function or time-dependent physical observables that are functions of one time. In this paper, we discuss the possibility of using dynamic mode decomposition (DMD), a data-driven model order reduction technique, to characterize one-time observables associated with the nonequilibrium dynamics using snapshots computed within a small time window. The DMD method allows us to efficiently predict long time dynamics from a limited number of trajectory samples. We demonstrate the effectiveness of DMD on a model two-band system. We show that, in the equilibrium limit, the DMD analysis yields results that are consistent with those produced from a linear response analysis. In the nonequilibrium case, the extrapolated dynamics produced by DMD is more accurate than a special Fourier extrapolation scheme presented in this paper. We point out a potential pitfall of the standard DMD method caused by insufficient spatial/momentum resolution of the discretization scheme. We show how this problem can be overcome by using a variant of the DMD method known as higher order DMD. • Perform accurate and efficient simulation of nonequilibrium many-body dynamics. • Use Dynamic mode decomposition (DMD) to approximate two-time Green's function. • Improve the accuracy of DMD by higher order DMD (HODMD). • Demonstrate the efficiency and accuracy of DMD and HODMD on a model two-band system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 477
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 161693411
- Full Text :
- https://doi.org/10.1016/j.jcp.2023.111909