Methods for Time Dependence in DMRG

S. R. White; U. Schollwoeck

Methods for Time Dependence in DMRG

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arxiv cond-mat/0606018 v1 pith:GMMRSKTD submitted 2006-05-31 cond-mat.str-el

U. Schollwoeck , S. R. White This is my paper · ORCID

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keywords dmrgcalculationsdynamicsmethodsquantumreal-timetechniquestime

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A major advance in density-matrix renormalization group (DMRG) calculations has been achieved by the invention of highly efficient DMRG techniques for the simulation of real-time dynamics of strongly correlated quantum systems in one dimension. Starting from established linear-response techniques in DMRG and early attempts at real-time dynamics, we go on to review two current methods which both implement the idea of adapting the effective Hilbert space of DMRG to the quantum state evolving in time. We also give an outlook on extensions to finite temperature calculations.

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Mapping the non-equilibrium interacting Anderson Impurity Model to an effective Gaussian theory
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Non-equilibrium quenched AIM dynamics are mapped to an effective non-interacting model with auxiliary static degrees of freedom via numerical optimization on ED and DMRG data.

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