Estimating quasi-long-range order via Renyi entropies
Anno: 2011
Autori: Dalmonte M., Ercolessi E., Taddia L.
Affiliazione autori: Dipartimento di Fisica dell’Universita’ di Bologna and INFN, via Irnerio 46, 40126 Bologna, Italy
Abstract: 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 dipolar bosons. Finally, we discuss the application of this method to multispecies systems such as the one-dimensional Hubbard model. Our work represents the first proof of a direct relationship between the Luttinger parameter and Renyi entropies in both bosonic and fermionic lattice models.
Giornale/Rivista: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS
Volume: 84 (8) Da Pagina: 085110-1 A: 085110-6
Parole chiavi: Quasi-long-range order; Entanglement; DMRGDOI: 10.1103/PhysRevB.84.085110Citazioni: 44dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-05Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui