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

arXiv:2209.01823 · Science China Physics Mechanics and Astronomy

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

Ming‐Ming Du, Abdul Sattar Khan, Zhao-Yi Zhou, Da-Jian Zhang

Published Sep 5, 2022• 18 citations
arXivHTMLPDF
DOI
10.1007/s11433-022-1958-y

Related papers

Detecting quantum phase transitions via out-of-time-ordered correlators without time reversal

Sean R. Muleady, Robert J. Lewis-Swan, Ana María Rey

Bulletin of the American Physical Society•Jun 3, 2021•0 citations

Average quantum coherence and its use in probing quantum phase transitions

Xinyu Liu, Ming‐Liang Hu

Physica A Statistical Mechanics and its Applications•Nov 11, 2022•15 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

Detecting Out-of-Time-Order Correlations via Quasiadiabatic Echoes as a Tool to Reveal Quantum Coherence in Equilibrium Quantum Phase Transitions

Robert J. Lewis-Swan, Sean R. Muleady, Ana María Rey

We propose a new dynamical method to connect equilibrium quantum phase transitions and quantum coherence using out-of-time-order correlations (OTOCs). Adopting the iconic Lipkin-Meshkov-Glick and transverse-field Ising models as illustrative examples, we show that an abrupt change in coherence and entanglement of the ground state across a quantum phase transition is observable in the spectrum of multiple quantum coherence intensities, which are a special type of OTOC. We also develop a robust protocol to obtain the relevant OTOCs using quasi-adiabatic quenches through the ground state phase diagram. Our scheme allows for the detection of OTOCs without time reversal of coherent dynamics, making it applicable and important for a broad range of current experiments where time reversal cannot be achieved by inverting the sign of the underlying Hamiltonian.

arXiv:2006.01313•Physical Review Letters•Dec 10, 2020•27 citations

Quantum Coherence and Quantum Correlations

Gerard J. Machado

•Jul 9, 2017•0 citations

Quantum correlation via quantum coherence

Chang-shui Yu, Yang Zhang, Haiqing Zhao

arXiv:1402.4684•Quantum Information Processing•Feb 10, 2014•15 citations
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.
We propose a new dynamical method to connect equilibrium quantum phase transitions and quantum coherence using out-of-time-order correlations (OTOCs). Adopting the iconic Lipkin-Meshkov-Glick and transverse-field Ising models as illustrative examples, we show that an abrupt change in coherence and entanglement of the ground state across a quantum phase transition is observable in the spectrum of multiple quantum coherence intensities, which are a special type of OTOC. We also develop a robust protocol to obtain the relevant OTOCs using quasi-adiabatic quenches through the ground state phase diagram. Our scheme allows for the detection of OTOCs without time reversal of coherent dynamics, making it applicable and important for a broad range of current experiments where time reversal cannot be achieved by inverting the sign of the underlying Hamiltonian.