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Matrix Product States: Symmetries and Two-Body Hamiltonians
M. Sanz, M. M. Wolf, D. Perez-Garcia +1
We characterize the conditions under which a translationally invariant matrix product state (MPS) is invariant under local transformations. This allows us to relate the symmetry gr…
String order and symmetries in quantum spin lattices
D. Perez-Garcia, M. M. Wolf, M. Sanz +2
We show that the existence of string order in a given quantum state is intimately related to the presence of a local symmetry by proving that both concepts are equivalent within th…
Quantum Phases of Trapped Ions in an Optical Lattice
Roman Schmied, Tommaso Roscilde, Valentin Murg +2
We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used t…
Dynamics of Localization Phenomena for Hardcore Bosons in Optical Lattices
Birger Horstmann, Juan Ignacio Cirac, Tommaso Roscilde
We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of d…
Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
J. Jordan, R. Orus, G. Vidal +2
We present an algorithm to simulate two-dimensional quantum lattice systems in the thermodynamic limit. Our approach builds on the {\em projected entangled-pair state} algorithm fo…
Matrix product states represent ground states faithfully
F. Verstraete, J. I. Cirac
We quantify how well matrix product states approximate exact ground states of 1-D quantum spin systems as a function of the number of spins and the entropy of blocks of spins. We a…