The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …

We generalize the Schrieffer-Wolff transformation to periodically driven systems using
Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi …

The density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …

Phase diagrams of the one-dimensional extended Hubbard model (including nearest-
neighbor interaction V) at half-and quarter-filling are studied by observing level crossings of …

We prove sufficient conditions for Topological Quantum Order at zero and finite
temperatures. The crux of the proof hinges on the existence of low-dimensional Gauge-Like …

Raman-assisted hop** may be used to realize the anyon Hubbard model in one-
dimensional optical lattices. We propose a feasible scenario that significantly improves the …

A Thouless pump transports an integer amount of charge when pum** adiabatically
around a singularity. We study the splitting of such a critical point into two separate critical …

We discuss different properties and the potential of several topological invariants based on
position operators to identify phase transitions, and compare with more accurate methods …

The XXZ spin-half chain has Heisenberg exchange interactions J z (J⊥) in the z (x, y)
direction. The model has a transition from the spin-fluid phase for− J⊥< J z< J⊥ to the Néel …

We revisit the ground-state phase diagram of the one-dimensional half-filled extended
Hubbard model with on-site (U) and nearest-neighbor (V) repulsive interactions. In the first …