Quantum correlations in a cluster spin model with three-spin interactions
arXiv:2503.14060 · doi:10.1088/1751-8121/adc218
Abstract
An exactly solvable cluster spin model with three-spin interaction couplings J_x (for XZX spin components) and J_y (for YZY spin components) in the presence of a transverse magnetic field for a spin chain is investigated. For , and with only one nonzero interaction strength, the ground state is the cluster state. Through the Jordan-Wigner fermion mapping, the odd sites and the even sites form two separate transverse-XY chains, connected only through the boundary terms. Consequently, all measures of quantum correlations for nearest neighbour spins, the concurrence, the quantum mutual information and the quantum discord are all zero in the ground state. The dynamics is spin conserving for J_y=J_x, exhibiting a line of critical points for |h/J_x| < 2, with an uncorrelated direct product ground state for |h/J_x|>2. There are several quantum critical points in the parameter space, with multi-fold degenerate ground states. The magnetisation and the global entanglement measure exhibit strong singular features for the spin conserving case. The next-neighbour quantum correlation measures are investigated analytically, which exhibit singular features in the vicinity of degeneracy critical points. The - and - derivatives of the concurrence exhibit singular peak behaviour near the degeneracy critical points, except in the spin conserving case where the derivatives are zero.
References in corpus (42)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Introducing Quantum Discord
- Quantum Teleportation is a Universal Computational Primitive
- Scaling of Entanglement close to a Quantum Phase Transitions
- Measurement-based quantum computation with cluster states
- Entanglement in a simple quantum phase transition
- Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
- On the quantum, classical and total amount of correlations in a quantum state
- Global entanglement in multiparticle systems
- Quantum discord and quantum phase transition in spin chains
- Experimental demonstration of fault-tolerant state preparation with superconducting qubits
- Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
- Long-range quantum entanglement in noisy cluster states
- Entanglement dynamics and quantum state transport in spin chains
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Statistical mechanics of the Cluster-Ising model
- Quantum phase transition between cluster and antiferromagnetic states
- Entanglement and Quantum Phase Transition in Low Dimensional Spin Systems
- Phase transitions and localizable entanglement in cluster-state spin chains with Ising couplings and local fields
- Information scrambling in chaotic systems with dissipation
- Demonstration of three- and four-body interactions between trapped-ion spins
- Realizing all quantum criticalities in symmetry protected cluster models
- Detecting entanglement in quantum many-body systems via permutation moments
- Quantum simulation of three-body interactions in weakly driven quantum systems
- Local entanglement and quantum phase transition in 1D transverse field Ising model
- Demonstration of tunable three-body interactions between superconducting qubits
- Quantum Entanglement in Heisenberg Antiferromagnets
- Signatures of quantum chaos transition in short spin chains
- Characterizing quantum correlations in spin chains
- Robust and Reliable Transfer of a Quantum State Through a Spin Chain
- Quantum correlations and entanglement in a Kitaev-type spin chain
- Many-body coherence and entanglement probed by randomized correlation measurements
- Entanglement dynamics and phase transitions of the Floquet cluster spin chain
- Block entropy for Kitaev-type spin chains in a transverse field
- Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
- Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
- Block entanglement and fluctuations in finite size correlated electron systems
- Gobal entanglement and double occupancy in many-electron states
- Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin- XX chain extended with three-spin interactions
- Loschmidt echo of local dynamical processes in integrable and non integrable spin chains
- Interference of the signal from a local dynamical process with the quantum state propagation in spin chains