6533b7d4fe1ef96bd1261e74
RESEARCH PRODUCT
Probing Quantum Frustrated Systems via Factorization of the Ground State
Gerardo AdessoSalvatore Marco GiampaoloFabrizio Illuminatisubject
Quantum phase transitionfrustrationmedia_common.quotation_subjectGeneral Physics and AstronomyFrustrationFOS: Physical sciences01 natural sciences010305 fluids & plasmasFactorizationQuantum mechanics0103 physical sciencesStatistical physicsPhysics - Biological Physics010306 general physicsQuantumCondensed Matter - Statistical MechanicsMathematical Physicsmedia_commonSpin-½PhysicsQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)Mathematical Physics (math-ph)Closed and exact differential formsCondensed Matter - Other Condensed MatterRange (mathematics)Biological Physics (physics.bio-ph)Condensed Matter::Strongly Correlated ElectronsGround stateQuantum Physics (quant-ph)Other Condensed Matter (cond-mat.other)description
The existence of definite orders in frustrated quantum systems is related rigorously to the occurrence of fully factorized ground states below a threshold value of the frustration. Ground-state separability thus provides a natural measure of frustration: strongly frustrated systems are those that cannot accommodate for classical-like solutions. The exact form of the factorized ground states and the critical frustration are determined for various classes of nonexactly solvable spin models with different spatial ranges of the interactions. For weak frustration, the existence of disentangling transitions determines the range of applicability of mean-field descriptions in biological and physical problems such as stochastic gene expression and the stability of long-period modulated structures.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-06-24 |