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• W3105662496 abstract "This paper provides a study and discussion of earlier as well as novel more efficient schemes for the precise evaluation of finite-temperature response functions of strongly correlated quantum systems in the framework of the time-dependent density matrix renormalization group (tDMRG). The computational costs and bond dimensions as functions of time and temperature are examined for the example of the spin-1/2 XXZ Heisenberg chain in the critical XY phase and the gapped N'eel phase. The matrix product state purifications occurring in the algorithms are in one-to-one relation with corresponding matrix product operators. This notational simplification elucidates implications of quasi-locality on the computational costs. Based on the observation that there is considerable freedom in designing efficient tDMRG schemes for the calculation of dynamical correlators at finite temperatures, a new class of optimizable schemes, as recently suggested in arXiv:1212.3570, is explained and analyzed numerically. A specific novel near-optimal scheme that requires no additional optimization reaches maximum times that are typically increased by a factor of two, when compared against earlier approaches. These increased reachable times make many more physical applications accessible. For each of the described tDMRG schemes, one can devise a corresponding transfer matrix renormalization group (TMRG) variant." @default.
• W3105662496 created "2020-11-23" @default.
• W3105662496 creator A5019126088 @default.
• W3105662496 date "2013-07-02" @default.
• W3105662496 modified "2023-10-15" @default.
• W3105662496 title "Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes" @default.
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• W3105662496 doi "https://doi.org/10.1088/1367-2630/15/7/073010" @default.
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