Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm

2004/06/30 by Michael Zwolak, Guifre Vidal · 4 citations
Physics and Astronomy · #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.207205

published as Phys. Rev. Lett. 93, 207205 (2004) · See also F. Verstraete et al. cond-mat/0406426

arxiv created 2004/07/01 · arxiv updated 2009/12/01

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 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.

Cited by

• Structure of matrix product locally purifiable density operators
• Cooling down trees for finite-temperature quantum dynamics: Purification within ML-MCTDH
• Anomalous matrix product operator symmetries and 1D mixed-state phases
• Nonstabilizerness in open XXZ spin chains: Universal scaling and dynamics
• Operator growth in many-body systems of higher spins