Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
arXiv:2211.00623 · doi:10.1088/1367-2630/ad0eef
Abstract
We show that the nearest neighbour entanglement in a mixture of ground and first excited states - a subjacent state - of the J1-J2 Heisenberg quantum spin chain can be used as an order parameter to detect the phase transition of the chain from a gapless spin fluid to a gapped dimer phase. We study the effectiveness of the order parameter for varying relative mixing probabilities between the ground and first excited states in the subjacent state for different system sizes, and extrapolate the results to the thermodynamic limit. We observe that the nearest neighbour concurrence can play a role of a good order parameter even if the system is in the ground state, but with a small finite probability of leaking into the first excited state. Moreover, we apply the order parameter of the subjacent state to investigate the response to separate introductions of anisotropy and of glassy disorder on the phase diagram of the model, and analyse the corresponding finite-size scale exponents and the emergent tricritical point in the former case. The anisotropic J1-J2 chain has a richer phase diagram which is also clearly visible by using the same order parameter.
16 pages, 10 figures
References in corpus (40)
- Many-Body Physics with Ultracold Gases
- Non-Abelian Anyons and Topological Quantum Computation
- Entanglement detection
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum computing with trapped ions
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
- Tensor renormalization group approach to 2D classical lattice models
- DMRG and periodic boundary conditions: a quantum information perspective
- Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
- Quantum Phase Transitions and Bipartite Entanglement
- Accurate determination of tensor network state of quantum lattice models in two dimensions
- New Trends in Density Matrix Renormalization
- Tensor-entanglement renormalization group approach to 2D quantum systems
- Anderson localization in Bose-Einstein condensates
- Multipartite Entanglement Signature of Quantum Phase Transitions
- Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
- Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
- Hierarchies of Geometric Entanglement
- Order from Disorder in Graphene Quantum Hall Ferromagnet
- Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
- Emergence of typical entanglement in two-party random processes
- Factorization and Criticality in the Anisotropic XY Chain via Correlations
- Fidelity approach to the disordered quantum XY model
- Thermal entanglement properties of small spin clusters
- Operational Classification and Quantification of Multipartite Entangled States
- Disorder-Induced Order in Two-Component Bose-Einstein Condensates
- Entanglement in the Majumdar-Ghosh model
- Entanglement in extended Hubbard models and quantum phase transitions
- Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields
- Scaling of the fidelity susceptibility in a disordered quantum spin chain
- Adaptive-weighted tree tensor networks for disordered quantum many-body systems
- Enhancing the Detection of Natural Thermal Entanglement with Disorder
- Valence bond entanglement entropy of frustrated spin chains
- Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
- Bound Genuine Multisite Entanglement: Detector of Gapless-Gapped Quantum Transitions in Frustrated Systems
- Competing impurities and reentrant magnetism in La(2-x)Sr(x)Cu(1-z)Zn(z)O(4) revisited. The role of the Dzyaloshinskii-Moriya and XY anisotropies
- Multipartite entanglement characterization of a quantum phase transition
- Multisite Entanglement acts as a Better Indicator of Quantum Phase Transitions in Spin Models with Three-spin Interactions
- Quantum Information approach to the Ising model