Theory of ground state factorization in quantum cooperative systems

Abstract

We introduce a general analytic approach to the study of factorization points and factorized ground states in quantum cooperative systems. The method allows to determine rigorously existence, location, and exact form of separable ground states in a large variety of, generally non-exactly solvable, spin models belonging to different universality classes. The theory applies to translationally invariant systems, irrespective of spatial dimensionality, and for spin-spin interactions of arbitrary range.

4 pages, 1 figure

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Cited by in corpus (72)

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• Separability and ground state factorization in quantum spin systems
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
• Ground state factorization and correlations with broken symmetry
• Thermometry Precision in Strongly Correlated Ultracold Lattice Gases
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• Probing Quantum Frustrated Systems via Factorization of the Ground State
• Genuine Multipartite Entanglement in the $XY$ Model
• Quantum discord in the ground state of spin chains
• Ground-state factorization and quantum phase transition in dimerized spin chains
• Universal aspects in the behavior of the entanglement spectrum in one dimension: scaling transition at the factorization point and ordered entangled structures
• Factorization and entanglement in general XYZ spin arrays in non-uniform transverse fields
• Genuine Multipartite Entanglement in the Cluster-Ising Model
• Topological and nematic ordered phases in many-body cluster-Ising models
• Characterization of an operational quantum resource in a critical many-body system
• Magnetic quantum correlation in the 1D transverse-field XXZ model
• Quantum-entanglement aspects of polaron systems
• Entanglement quantification by local unitaries
• Quantifying nonclassicality: global impact of local unitary evolutions
• Witnessing nonclassical multipartite states
• Fermionic entanglement in the Lipkin model
• Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
• Separability and entanglement in finite dimer-type chains in general transverse fields
• Adiabatic quantum simulation with a segmented ion trap: Application to long-distance entanglement in quantum spin systems
• Mutual information and spontaneous symmetry breaking
• Measurements, quantum discord and parity in spin 1 systems
• Static and dynamical quantum correlations in phases of an alternating field XY model
• Discord of response
• Factorization and criticality in finite XXZ systems of arbitrary spin
• When finite-size corrections vanish: The S=1/2 XXZ model and the Razumov-Stroganov state
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
• Optimal correlations in many-body quantum systems
• Quantum discord in a spin system with symmetry breaking
• n-cluster models in a transverse magnetic field
• Factorization, coherence and asymmetry in the Heisenberg spin-1/2 XXZ chain a transverse magnetic field and with Dzyaloshinskii-Moriya interaction
• 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
• Evaluation of ground state entanglement in spin systems with the random phase approximation
• Factorization in XYZ spin systems under general fields and separable ground state engineering
• Achieving spin-squeezed states by quench dynamics in a quantum chain
• Global-to-local incompatibility, monogamy of entanglement, and ground-state dimerization: Theory and observability of quantum frustration in systems with competing interactions
• Generalized conditional entropy in bipartite quantum systems
• Quantum discord and information deficit in spin chains
• Entanglement in finite spin rings with noncollinear Ising interaction
• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• Disentanglement, disorder lines, and Majorana edge states in a solvable quantum chain
• Emergence of entanglement with temperature and time in factorization-surface states
• Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems
• Even-odd entanglement in boson and spin systems
• Quantum discord and related measures of quantum correlations in XY chains
• Generalized mean field description of entanglement in dimerized spin systems
• Symmetry-protected trivial phases and quantum phase transitions in an anisotropic antiferromagnetic spin-1 biquadratic model
• Recognizing critical lines via entanglement in non-Hermitian systems
• Interplay between local and non-local frustration in the 1D ANNNI chain I -- The even case
• Genuine correlations in finite-size spin systems
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• The Interplay between Frustration and Entanglement in Many-Body Systems
• Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states
• Ground state separability and criticality in interacting many-particle systems
• Quench of symmetry broken ground states
• Covariance-based method for eigenstate factorization and generalized singlets
• Interrelations among frustration-free models via Witten's conjugation
• Diagonal entropy in many-body systems: Volume effect and quantum phase transitions
• Entanglement and symmetry effects in the transition to the Schroedinger cat regime
• Quantum criticality and factorization in a constrained Rydberg spin chain
• Unveiling hidden features of the Kitaev model through a complex-network analysis
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors
• Quantum-classical equivalence and ground-state factorization