Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model
arXiv:2107.13916 · doi:10.1103/PhysRevA.104.062416
Abstract
Quantum coherence reflects the origin of quantumness and might be capable of extracting the subtle nature of a system. We investigate the ground-state coherence and steered coherence in the Lipkin-Meshkov-Glick model and show that they detect faithfully the quantum phase transitions of this model. Moreover, we carry out scaling analysis on the coherence and steered coherence by means of the continuous unitary transformation method and it is found that the scaling exponents are uniquely determined by the phase region of this model. These results may provide useful insights into the mechanism underlying quantum criticality in many-body systems.
10 pages, 5 figures
References in corpus (19)
- Measuring Quantum Coherence with Entanglement
- Entanglement in a second order quantum phase transition
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Quantum coherence and uncertainty in the anisotropic XY chain
- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
- Entanglement in a first order quantum phase transition
- Spin squeezing: transforming one-axis-twisting into two-axis-twisting
- Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
- Entanglement, fidelity and topological entropy in a quantum phase transition to topological order
- Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
- Separability and ground state factorization in quantum spin systems
- Concurrence in collective models
- Experimental progress on quantum coherence: detection, quantification, and manipulation
- Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
- Maximal coherence in generic basis
- Cavity assisted single- and two-mode spin-squeezed states via phase-locked atom-photon coupling
- Reduced fidelity susceptibility and its finite-size scaling behaviors
- Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
- Simulating the Lipkin-Meshkov-Glick model in a hybrid quantum system