Phase diagram of quantum critical system via local convertibility of ground state

TL;DR

This paper explores how local convertibility of ground states in the XY model relates to quantum phase transitions, revealing that different phases exhibit distinct convertibility properties useful for detecting transitions.

Contribution

It introduces a comparison of LOCC and ELOCC convertibility in the XY model's ground states, linking local convertibility to quantum phase transitions.

Findings

Different phases show distinct LOCC and ELOCC convertibility.

Convertibility properties can detect quantum phase transitions.

Study extends to potential applications in other quantum many-body systems.

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 (E- LOCC) via Renyi 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 dia- gram 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.