For the root-of-unity XXZ chain, non-commuting transfer matrices generate an explicit Onsager algebra and duality defects obeying Z_N Tambara–Yamagami fusion rules.
Complete Generalized Gibbs Ensemble in an interacting Theory
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved charges. A crucial issue is then to identify a complete set of these charges, enabling the GGE to provide exact steady state predictions. Here we solve this long-standing problem for the case of the spin-1/2 Heisenberg chain by explicitly constructing a GGE which uniquely fixes the macrostate describing the stationary behaviour after a general quantum quench. A crucial ingredient in our method, which readily generalizes to other integrable models, are recently discovered quasi-local charges. As a test, we reproduce the exact post-quench steady state of the Neel quench problem obtained previously by means of the Quench Action method.
representative citing papers
Out-of-equilibrium inverse temperature is defined as the coordinate of a canonical flow that preserves the state's energy-coherence leaf, and it generically differs from the entropy derivative.
Universal TT- and TQ-relations are derived for the centrally extended q-Onsager algebra, giving explicit polynomials for local conserved quantities in spin-j chains and new symmetries for special boundaries.
The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.
citing papers explorer
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Lattice non-invertible symmetry from non-commuting transfer matrices
For the root-of-unity XXZ chain, non-commuting transfer matrices generate an explicit Onsager algebra and duality defects obeying Z_N Tambara–Yamagami fusion rules.
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Temperature Beyond Equilibrium in Isolated Quantum Many-Body Systems and Their Subsystems
Out-of-equilibrium inverse temperature is defined as the coordinate of a canonical flow that preserves the state's energy-coherence leaf, and it generically differs from the entropy derivative.
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Universal TT- and TQ-relations via centrally extended q-Onsager algebra
Universal TT- and TQ-relations are derived for the centrally extended q-Onsager algebra, giving explicit polynomials for local conserved quantities in spin-j chains and new symmetries for special boundaries.
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The $S=\frac{1}{2}$ XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities
The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.
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