Luca Taddia - Università di Bologna #
Estimating Quasi-long-range Order via Renyi Entropies #
We show how entanglement entropies allow for the estimation of quasi-long-range order in one dimensional 
systems whose low-energy physics is well captured by the Tomonaga-Luttinger liquid universality class. 
First, we check our procedure in the exactly solvable XXZ spin-1/2 chain in its entire critical region, 
finding very good agreement with Bethe ansatz results. Then, we show how phase transitions between 
different dominant orders may be efficiently estimated by considering the superfluid-charge density wave 
transition in a system of one-dimensional dipolar bosons. Finally, we discuss the application of this method 
to multispecies systems such as the one-dimensional Hubbard model.