Abstract
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 evolution 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 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 on the system size. We present simulations involving quantum spins and fermions in one spatial dimension.
Zwolak, Michael;
Vidal, Guifre
[1]
- Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125 (United States)
Citation Formats
Zwolak, Michael, and Vidal, Guifre.
Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm.
United States: N. p.,
2004.
Web.
doi:10.1103/PhysRevLett.93.207205.
Zwolak, Michael, & Vidal, Guifre.
Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm.
United States.
https://doi.org/10.1103/PhysRevLett.93.207205
Zwolak, Michael, and Vidal, Guifre.
2004.
"Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm."
United States.
https://doi.org/10.1103/PhysRevLett.93.207205.
@misc{etde_20619343,
title = {Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm}
author = {Zwolak, Michael, and Vidal, Guifre}
abstractNote = {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 evolution 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 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 on the system size. We present simulations involving quantum spins and fermions in one spatial dimension.}
doi = {10.1103/PhysRevLett.93.207205}
journal = []
issue = {20}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Nov}
}
title = {Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm}
author = {Zwolak, Michael, and Vidal, Guifre}
abstractNote = {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 evolution 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 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 on the system size. We present simulations involving quantum spins and fermions in one spatial dimension.}
doi = {10.1103/PhysRevLett.93.207205}
journal = []
issue = {20}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Nov}
}