Correlation-induced coherence and its use in detecting quantum phase transitions
arXiv:2209.01823 · doi:10.1007/s11433-022-1958-y
Abstract
The past two decades have witnessed a surge of interest in exploring correlation and coherence measures to investigate quantum phase transitions (QPTs). Here, motivated by the continued push along this direction, we propose a measure which is built upon the so-called degree of coherence, and advocate using the susceptibility of our measure to detect QPTs. We show that our measure can capture both the notions of coherence and correlations exhibited in bipartite states and therefore represents a hybrid of these two notions. Through examining the XXZ model and the Kitaev honeycomb model, we demonstrate that our measure is favorable for detecting QPTs in comparison to many previous proposals.
10 pages, 4 figures
References in corpus (21)
- On the quantum, classical and total amount of correlations in a quantum state
- Quantum Phase Transitions and Bipartite Entanglement
- Quantum discord and quantum phase transition in spin chains
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- Multipartite Entanglement Signature of Quantum Phase Transitions
- Entanglement and Quantum Phase Transition Revisited
- Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
- Disentanglement in a quantum critical environment
- Multipartite entanglement in topological quantum phases
- Entanglement, fidelity and topological entropy in a quantum phase transition to topological order
- Universal geometric entanglement close to quantum phase transitions
- Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
- Scaling of tripartite entanglement at impurity quantum phase transitions
- Approaching Heisenberg-scalable thermometry with built-in robustness against noise
- Maximum Relative Entropy of Coherence for Quantum Channels
- Reduced fidelity in Kitaev honeycomb model
- Visualizing quantum phase transitions in the XXZ model via the quantum steering ellipsoid
- Topological characterization of one-dimensional open fermionic systems
- Remote Creation of Quantum Coherence
- Quantum discord and entanglement in Heisenberg XXZ spin chain after quenches
- General approach to find steady-state manifolds in Markovian and non-Markovian systems