Least Action Principle for the Real-Time Density Matrix Renormalization Group
Abstract
A kind of least action principle is introduced for the discrete time evolution of one-dimensional quantum lattice models. Based on this principle, we obtain an optimal condition for the matrix product states on succeeding time slices generated by the real-time density matrix renormalization group method. This optimization can also be applied to classical simulations of quantum circuits. We discuss the time reversal symmetry in the fully optimized MPS.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2006
- DOI:
- 10.48550/arXiv.cond-mat/0612480
- arXiv:
- arXiv:cond-mat/0612480
- Bibcode:
- 2006cond.mat.12480U
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 5 pages, 4 figures, (a reference is added)