Exploring Quantum Phase Transitions with a Novel Sublattice Entanglement Scenario

Abstract

We introduce a new measure called reduced entropy of sublattice to quantify entanglement in spin, electron and boson systems. By analyzing this quantity, we reveal an intriguing connection between quantum entanglement and quantum phase transitions in various strongly correlated systems: the local extremes of reduced entropy and its first derivative as functions of the coupling constant coincide respectively with the first and second order transition points. Exact numerical studies merely for small lattices reproduce several well-known results, demonstrating that our scenario is quite promising for exploring quantum phase transitions.

4 pages, 4 figures

References in corpus (21)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• "Deconfined" quantum critical points
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• Universality of Entropy Scaling in 1D Gap-less Models
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entangled Rings
• Entangled Quantum States of Magnetic Dipoles
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Ground-State Phase Diagram of Quantum Heisenberg Antiferromagnets on the Anisotropic Dimerized Square Lattice
• New quantum phase transitions in the two-dimensional J1-J2 model
• Ground state phases of the Half-Filled One-Dimensional Extended Hubbard Model
• Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet
• Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Spinons in a Crossed-Chains Model of a 2D Spin Liquid
• Exact ground states of a frustrated 2D magnet: deconfined fractional excitations at a first order quantum phase transition
• 1-Dimensional behavior and sliding Luttinger liquid phase in a frustrated spin-1/2 crossed chain model: contribution of exact diagonalizations

Cited by in corpus (22)

• Entanglement and Quantum Phase Transition in Low Dimensional Spin Systems
• Quantum Entanglement Manifestation of Transition to Nonlinear Self-trapping for Bose-Einstein Condensates in a Symmetric Double-Well
• Operator fidelity susceptibility: an indicator of quantum criticality
• Characterization of Quantum Phase Transition using Holographic Entanglement Entropy
• Holographic Metal-Insulator Transition in Higher Derivative Gravity
• Quantum simulation of Heisenberg spin chains with next nearest neighbor interactions in coupled cavities
• Entanglement induced in spin-1/2 particles by a spin chain near its critical points
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Entanglement Entropy in Lifshitz Theories
• Quantum Critical Dynamics of A Qubit Coupled to An Isotropic Lipkin-Meshkov-Glick Bath
• Spin-Orbital Entanglement and Phase Diagram of Spin-orbital Chain with $SU(2)\times SU(2)$ Symmetry
• Comb entanglement in quantum spin chains
• Topological quantum phase transition in an extended Kitaev spin model
• Localization-delocalization transitions in a two-dimensional quantum percolation model: von Neumann entropy studies
• Entanglement Entropy of Periodic Sublattices
• Entanglement and level crossings in frustrated ferromagnetic rings
• Even-odd entanglement in boson and spin systems
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Overlaying optical lattices for simulation of complex frustrated antiferromagnets
• Bootstrap Approximations in Contractor Renormalization
• Quantized and maximum entanglement from sublattice symmetry
• Diagnosing quantum phase transition via holographic entanglement entropy at finite temperature