title: Phase diagram of quantum critical system via local convertibility of ground state.
abstract: We investigate the relationship between two kinds of ground-state local convertibility and quantum phase transitions in XY model. The local operations and classical communications (LOCC) convertibility is examined by the majorization relations and the entanglement-assisted local operations and classical communications (ELOCC) via Rényi entropy interception. In the phase diagram of XY model, LOCC convertibility and ELOCC convertibility of ground-states are presented and compared. It is shown that different phases in the phase diagram of XY model can have different LOCC or ELOCC convertibility, which can be used to detect the quantum phase transition. This study will enlighten extensive studies of quantum phase transitions from the perspective of local convertibility, e.g., finite-temperature phase transitions and other quantum many-body models.
authors.affiliation: Institute of Modern Physics, Northwest University, Xian 710069, P. R. China.|Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China.
authors.forename: Si-Yuan
authors.initials: SY
authors.lastname: Liu
authors.affiliation: Institute of Modern Physics, Northwest University, Xian 710069, P. R. China.|School of Mathematical Sciences, Capital Normal University, Beijing 100048, China.
authors.forename: Quan
authors.initials: Q
authors.lastname: Quan
authors.affiliation: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China.
authors.forename: Jin-Jun
authors.initials: JJ
authors.lastname: Chen
authors.affiliation: Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China.
authors.forename: Yu-Ran
authors.initials: YR
authors.lastname: Zhang
authors.affiliation: Institute of Modern Physics, Northwest University, Xian 710069, P. R. China.
authors.forename: Wen-Li
authors.initials: WL
authors.lastname: Yang
authors.affiliation: Institute of Modern Physics, Northwest University, Xian 710069, P. R. China.|Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, P. R. China.|Collaborative Innovation Center of Quantum Matter, Beijing, P. R. China.
authors.forename: Heng
authors.initials: H
authors.lastname: Fan