Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica A Statistical Mechanics and its Applications

Average quantum coherence and its use in probing quantum phase transitions

Xinyu Liu, Ming‐Liang Hu

Published Nov 11, 2022• 15 citations
Publisher
DOI
10.1016/j.physa.2022.128308

Related papers

Probing quantum coherence, uncertainty, steerability of quantum coherence and quantum phase transition in the spin model

Cheng-Cheng Liu, Liu Ye

Quantum Information Processing•Apr 10, 2017•16 citations

Correlation-induced coherence and its use in detecting quantum phase transitions

Ming‐Ming Du, Abdul Sattar Khan, Zhao-Yi Zhou +1 more

arXiv:2209.01823•Science China Physics Mechanics and Astronomy•Sep 5, 2022•18 citations

Characterizing the Lipkin-Meshkov-Glick excited-state spectrum through the quantum coherence spectrum

Qian Wang, Jamil Khalouf-Rivera, Francisco Pérez-Bernal

Excited-state quantum phase transitions extend the quantum phase transition concept beyond the ground state and offer insights into the complex behavior of quantum systems. In the present work we assess the use of the multiple quantum coherence spectrum as a valid tool to probe excited-state quantum phase transitions within the framework of the Lipkin-Meshkov-Glick model. The time dependence and the long-time average of the multiple quantum coherence spectrum reveal the intricate dynamics that stems from the existence of singularities in the excited-state spectrum of a quantum many-body system.

arXiv:2209.02510•Physical Review A•Mar 11, 2025•2 citations

Average coherence and average correlated coherence as indicators of quantum phase transitions in the XY model with staggered Dzyaloshinskii-Moriya interaction

Gan-Lu Li, Yu-Xia Xie

Abstract The performance of average coherence (AC) and average correlated coherence (ACC) in detecting quantum phase transitions (QPTs) has been explored by considering the XY model with staggered Dzyaloshinskii-Moriya interaction. By using the quantum renormalization group method, it is shown that the ground-state AC and ACC show either a maximum or a minimum at the QPT point. Moreover, the AC and ACC susceptibilities (i.e. their derivatives with respect to the driving parameter) have two extreme points near the two sides of the QPT point. A finite-scaling analysis reveals that these extreme points tend to the QPT point after several iterations of the renormalization and the susceptibilities at the QPT point become divergent in the thermodynamic limit.

Laser Physics Letters•Jun 26, 2024•2 citations

Quantum Coherence and Quantum Correlations

Gerard J. Machado

•Jul 9, 2017•0 citations

Decoherence factor in quantum phase transition

Hongting Song, Yu Pan, Yuanyuan Mao

Quantum Information Processing•Feb 13, 2019•2 citations
Excited-state quantum phase transitions extend the quantum phase transition concept beyond the ground state and offer insights into the complex behavior of quantum systems. In the present work we assess the use of the multiple quantum coherence spectrum as a valid tool to probe excited-state quantum phase transitions within the framework of the Lipkin-Meshkov-Glick model. The time dependence and the long-time average of the multiple quantum coherence spectrum reveal the intricate dynamics that stems from the existence of singularities in the excited-state spectrum of a quantum many-body system.
Abstract The performance of average coherence (AC) and average correlated coherence (ACC) in detecting quantum phase transitions (QPTs) has been explored by considering the XY model with staggered Dzyaloshinskii-Moriya interaction. By using the quantum renormalization group method, it is shown that the ground-state AC and ACC show either a maximum or a minimum at the QPT point. Moreover, the AC and ACC susceptibilities (i.e. their derivatives with respect to the driving parameter) have two extreme points near the two sides of the QPT point. A finite-scaling analysis reveals that these extreme points tend to the QPT point after several iterations of the renormalization and the susceptibilities at the QPT point become divergent in the thermodynamic limit.