Theory of Ground State Factorization in Quantum Cooperative Systems

2008/04/01 by S. M. Giampaolo, Gerardo Adesso, G. Adesso +2 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Curse of dimensionality #Factorization #Ground state #Invariant (physics) #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum optics and atomic interactions #Separable space #Spin (aerodynamics) #Statistical physics #Theoretical physics #Universality (dynamical systems) #Variety (cybernetics) #cond-mat.other #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physrevlett.100.197201

published as Phys. Rev. Lett. 100, 197201 (2008) · 4 pages, 1 figure

arxiv created 2008/04/01 · openalex publication_date 2008/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We introduce a general analytic approach to the study of factorization points and factorized ground states in quantum cooperative systems. The method allows us to determine rigorously the existence, location, and exact form of separable ground states in a large variety of, generally nonexactly 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.

Citations

• Validity of many-body approximation methods for a solvable model
• Quantum-enhanced measurements: beating the standard quantum limit
• Quantum communication through spin chain dynamics: an introductory overview
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Photon-blockade-induced Mott transitions andXYspin models in coupled cavity arrays
• Two-spin entanglement distribution near factorized states
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Quantum-state engineering with Josephson-junction devices
• Distributed Entanglement

Cited by

• Unveiling hidden features of the Kitaev model through a complex-network analysis
• Quantum coherence and uncertainty in the anisotropic XY chain
• Factorization and entanglement in generalXYZspin arrays in nonuniform transverse fields

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