title: Time-dependent variational principle for quantum lattices.
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.
authors: Department of Physics and Astronomy, Ghent University, Belgium.
authors: Jutho
authors: J
authors: Haegeman
authors: J Ignacio
authors: JI
authors: Cirac
authors: Tobias J
authors: TJ
authors: Osborne
authors: Iztok
authors: I
authors: Pižorn
authors: Henri
authors: H
authors: Verschelde
authors: Frank
authors: F
authors: Verstraete