6533b7ddfe1ef96bd1273f7a
RESEARCH PRODUCT
Frustration, Entanglement, and Correlations in Quantum Many Body Systems
Ugo MarzolinoSalvatore Marco GiampaoloSalvatore Marco GiampaoloFabrizio Illuminatisubject
PhysicsQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)frustrationmedia_common.quotation_subjectDegenerate energy levelsFrustrationFOS: Physical sciencesQuantum entanglement01 natural sciencesUpper and lower boundsAtomic and Molecular Physics and Optics010305 fluids & plasmasQuantum mechanics0103 physical sciencesCondensed Matter::Strongly Correlated Electrons010306 general physicsQuantum statistical mechanicsDegeneracy (mathematics)Ground stateQuantum Physics (quant-ph)QuantumCondensed Matter - Statistical Mechanicsmedia_commondescription
We derive an exact lower bound to a universal measure of frustration in degenerate ground states of quantum many-body systems. The bound results in the sum of two contributions: entanglement and classical correlations arising from local measurements. We show that average frustration properties are completely determined by the behavior of the maximally mixed ground state. We identify sufficient conditions for a quantum spin system to saturate the bound, and for models with twofold degeneracy we prove that average and local frustration coincide.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-02-25 |