Factorization and criticality in finite XXZ systems of arbitrary spin

Abstract

We analyze ground state (GS) factorization in general arrays of spins $s_i$ with $XXZ$ couplings immersed in nonuniform fields. It is shown that an exceptionally degenerate set of completely separable symmetry-breaking GS's can arise for a wide range of field configurations, at a quantum critical point where all GS magnetization plateaus merge. Such configurations include alternating fields as well as zero bulk field solutions with edge fields only and intermediate solutions with zero field at specific sites, valid for $d$-dimensional arrays. The definite magnetization projected GS's at factorization can be analytically determined and depend only on the exchange anisotropies, exhibiting critical entanglement properties. We also show that some factorization compatible field configurations may result in field-induced frustration and nontrivial behavior at strong fields.

arXiv comment10 pages, 8 figures

References in corpus (60)

• Quantum Computation with Quantum Dots
• A computable measure of entanglement
• Quantum Simulation
• On the volume of the set of mixed entangled states
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Quantum information processing with superconducting circuits: a review
• Effective quantum spin systems with ion traps
• Coherent Josephson qubit suitable for scalable quantum integrated circuits
• Digitized adiabatic quantum computing with a superconducting circuit
• Microscopic observation of magnon bound states and their dynamics
• Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
• Quantum simulations and many-body physics with light
• On the volume of the set of mixed entangled states II
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Quantum coherence and uncertainty in the anisotropic XY chain
• Quantum Computing with an 'Always On' Heisenberg Interaction
• Effective spin systems in coupled micro-cavities
• Studying quantum spin systems through entanglement estimators
• Atomic spin chain realization of a model for quantum criticality
• Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Non-Perturbative Entangling Gates between Distant Qubits using Uniform Cold Atom Chains
• Divergence of the entanglement range in low dimensional quantum systems
• Theory of ground state factorization in quantum cooperative systems
• Quantum discord in finite XY chains
• Quantum spin transistor with a Heisenberg spin chain
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Separability and ground state factorization in quantum spin systems
• Digital-Analog Quantum Simulation of Spin Models in Trapped Ions
• Ellipses of Constant Entropy in the XY Spin Chain
• Ground state factorization and correlations with broken symmetry
• Entanglement of finite cyclic chains at factorizing fields
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• Equilibrium to nonequilibrium condensation in driven-dissipative semiconductor systems
• Optical Hybrid Quantum Information Processing
• A photonic Carnot engine powered by a quantum spin-star network
• Information Transferring Ability of the Different Phases of a finite XXZ Spin Chain
• Quantum Computing in Arrays Coupled by 'Always On' Interactions
• The spin-$\frac{1}{2}$ XXZ chain system Cs${}_2$CoCl${}_4$ in a transverse magnetic field
• Probing Quantum Frustrated Systems via Factorization of the Ground State
• Quantum simulation of Heisenberg spin chains with next nearest neighbor interactions in coupled cavities
• Two-spin entanglement distribution near factorized states
• Ground-state factorization and quantum phase transition in dimerized spin chains
• Factorization and entanglement in general XYZ spin arrays in non-uniform transverse fields
• The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields
• Global entanglement in XXZ chains
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Separability and entanglement in finite dimer-type chains in general transverse fields
• Static and dynamical quantum correlations in phases of an alternating field XY model
• Optimal quantum cloning via spin networks
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Determination of ground state properties in quantum spin systems by single qubit unitary operations and entanglement excitation energies
• Controllable anisotropic exchange coupling between spin qubits in quantum dots
• Thermodynamic behavior of the XXZ Heisenberg s=1/2 chain around the factorizing magnetic field
• Non-transverse factorizing fields and entanglement in finite spin systems
• Factorized ground state for a general class of ferrimagnets
• Factorization in XYZ spin systems under general fields and separable ground state engineering
• Entanglement and coherence in a spin-s XXZ system under non-uniform fields
• On the particle-hole symmetry of the fermionic spinless Hubbard model in $D=1$

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