Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-06-21
Phys. Rev. Lett. 93, 207205 (2004)
Physics
Condensed Matter
Strongly Correlated Electrons
See also F. Verstraete et al. cond-mat/0406426
Scientific paper
10.1103/PhysRevLett.93.207205
We present an algorithm to study mixed-state dynamics in one-dimensional quantum lattice systems. The algorithm can be used, e.g., to construct thermal states or to simulate real time evolutions given by a generic master equation. Its two main ingredients are (i) a superoperator renormalization scheme to efficiently describe the state of the system and (ii) the time evolving block decimation (TEBD) technique to efficiently update the state during a time evolution. The computational cost of a simulation increases significantly with the amount of correlations between subsystems but it otherwise depends only linearly in the system size. We present simulations involving quantum spins and fermions in one spatial dimension.
Vidal Guifre
Zwolak Michael
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