6533b857fe1ef96bd12b50e2

RESEARCH PRODUCT

Theory of ground state factorization in quantum cooperative systems.

Fabrizio IlluminatiFabrizio IlluminatiGerardo AdessoSalvatore Marco Giampaolo

subject

High Energy Physics - TheoryQuantum phase transitionGeneral Physics and AstronomyFOS: Physical sciencesFactorizationfactorizationQuantum mechanicsStatistical physicsSOLVABLE MODELVALIDITYENTANGLEMENTQuantumMathematical PhysicsMathematicsQuantum PhysicsMathematical Physics (math-ph)Invariant (physics)BODY APPROXIMATION METHODSUniversality (dynamical systems)Condensed Matter - Other Condensed MatterClosed and exact differential formsHigh Energy Physics - Theory (hep-th)SPIN CHAINGround stateQuantum Physics (quant-ph)Curse of dimensionalityOther Condensed Matter (cond-mat.other)

description

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.

10.1103/physrevlett.100.197201https://pubmed.ncbi.nlm.nih.gov/18518481