Time-Dependent Variational Principle for Quantum Lattices
Top Cited Papers
- 10 August 2011
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 107 (7), 070601
- https://doi.org/10.1103/physrevlett.107.070601
Abstract
We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example. DOI: http://dx.doi.org/10.1103/PhysRevLett.107.070601 © 2011 American Physical SocietyKeywords
Other Versions
This publication has 22 references indexed in Scilit:
- The density-matrix renormalization group in the age of matrix product statesAnnals of Physics, 2011
- Renormalization and tensor product states in spin chains and latticesJournal of Physics A: Mathematical and Theoretical, 2009
- Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systemsAdvances in Physics, 2008
- The density-matrix renormalization groupReviews of Modern Physics, 2005
- Efficient Simulation of One-Dimensional Quantum Many-Body SystemsPhysical Review Letters, 2004
- Cazalilla and Marston Reply:Physical Review Letters, 2003
- Comment on “Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of-Equilibrium Systems”Physical Review Letters, 2003
- Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of-Equilibrium SystemsPhysical Review Letters, 2002
- Density matrix formulation for quantum renormalization groupsPhysical Review Letters, 1992
- Finitely correlated states on quantum spin chainsCommunications in Mathematical Physics, 1992