Time-Dependent Variational Principle for Quantum Lattices

Author(s): J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, F. Verstraete

Journal: Physical Review Letters

Volume: 107

Page(s): 5

Year: 2011

DOI Number: 10.1103/PhysRevLett.107.070601

Link: Link to publication


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 lattice systems. This procedure: (1) is argued to be optimal; (2) does not rely on the Trotter decomposition and thus has no Trotter error; (3) explicitly preserves all symmetries and conservation laws; and (4) has low computational complexity. The algorithm is illustrated using both imaginary time and real-time examples.

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