Abstract
We study the connections between local quantum coherence (LQC) based on Wigner-Yanase skew information and quantum phase transitions (QPTs). When applied on the one-dimensional Hubbard, XY spin chain with three-spin interaction, and Su-Schrieffer-Heeger models, the LQC and its derivatives are used successfully to detect different types of QPTs in these spin and fermionic systems. Furthermore, the LQC is effective as the quantum discord (QD) in detecting QPTs at finite temperatures, where the entanglement has lost its effectiveness. We also demonstrate that the LQC can exhibit different behaviors in many forms compared with the QD.
Highlights
On the basis of the lower bound of the Wigner-Yanase skew information (WYSI), quantum coherence (QC) is investigated on different systems
Our results show that the dimerized property of the BOW state of the fermionic Hubbard model can be clearly demonstrated by two neighboring QCs
For the XYT model, we find that both the first- and continuous-order transitions are efficiently detected by the first derivative of the QC at zero temperature
Summary
We study the connections between local quantum coherence (LQC) based on Wigner-Yanase skew information and quantum phase transitions (QPTs). When applied on the one-dimensional Hubbard, XY spin chain with three-spin interaction, and Su-Schrieffer-Heeger models, the LQC and its derivatives are used successfully to detect different types of QPTs in these spin and fermionic systems.
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