Noncommutative generalized Gibbs ensemble in isolated integrable quantum systems
Kouhei Fukai, Yuji Nozawa, Koji Kawahara, Tatsuhiko N. Ikeda
Abstract
The authors study an extension of the generalized Gibbs ensemble by incorporating noncommutative conserved quantities and discuss how their approach describes long-time behaviorsof observables at different system sizes.
Topics & Concepts
Noncommutative geometryObservableExtension (predicate logic)Integrable systemQuantumPhysicsCanonical ensembleQuantum systemMathematical physicsMathematicsQuantum mechanicsGibbs stateStatistical physicsCommutative propertyTheoretical physicsStatistical ensembleQuantum statistical mechanicsGibbs measurePure mathematicsConserved quantityQuantum many-body systemsAdvanced Thermodynamics and Statistical MechanicsStatistical Mechanics and Entropy