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.
Highlights
Given the XY model[29,30,31] in the zero-temperature case, we use majorization relation and Rényi entropy interception to study the relationship between two kinds of local convertibility and quantum phase transitions
We have investigated the relationship between local convertibility of ground states and quantum phase transitions in XY model
We study the LOCC convertibility by examining the majorization relations and the ELOCC convertibility via Rényi entropy interception
Summary
For infinite long spin chain of XY model, the ELOCC convertibility of the thermal ground state is plotted, see methods for details. For infinite long spin chain of XY model, the LOCC convertibility of the thermal ground state is plotted, see methods for details.
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