Time evolution algorithms for Matrix Product States and DMRG
arXiv:cond-mat/0610210 · doi:10.1088/1367-2630/8/12/305
Abstract
In this work we develop several new simulation algorithms for 1D many-body quantum mechanical systems combining the Matrix Product State variational ansatz with Taylor, Padé and Arnoldi approximations to the evolution operator. By comparing with previous techniques based on MPS and DMRG we demonstrate that the Arnoldi method is the best one, reaching extremely good accuracy with moderate resources. Finally we apply this algorithm to studying how correlations are transferred from the atomic to the molecular cloud when crossing a Feschbach resonance with two-species hard-core bosons in a 1D optical lattice.
This work, with 18 pages and 17 figures, is a continuation/extension of cond-mat/0602305
References in corpus (10)
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Matrix product states represent ground states faithfully
- DMRG and periodic boundary conditions: a quantum information perspective
- Molecules of Fermionic Atoms in an Optical Lattice
- Time-step targetting methods for real-time dynamics using DMRG
- Spin-charge separation in cold Fermi-gases: a real time analysis
- Time evolution of one-dimensional Quantum Many Body Systems
- Comment on "Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of- Equilibrium Systems"
- Response to ``Comment on `time-dependent density-matrix renormalization group: a systematic method for the study of quantum many-body out-of-equilibrium systems''' by H. G. Luo, T. Xiang, and X. Q. Wang
- Dynamical projection of atoms to Feshbach molecules at strong coupling
Cited by in corpus (5)
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Efficient quantum state transfer in spin chains via adiabatic passage
- Quantum State Transfer in Spin-1 Chains
- Dynamical creation of a supersolid in asymmetric mixtures of bosons
- Transport and Entanglement Generation in the Bose-Hubbard Model