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.
Lieb-Robinson bounds and the generation of correlations and topological quantum order
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abstract
The Lieb-Robinson bound states that local Hamiltonian evolution in nonrelativistic quantum mechanical theories gives rise to the notion of an effective light-cone with exponentially decaying tails. We discuss several consequences of this result in the context of quantum information theory. First, we show that the information that leaks out to space-like separated regions is negligable, and that there is a finite speed at which correlations and entanglement can be distributed. Second, we discuss how these ideas can be used to prove lower bounds on the time it takes to convert states without topological quantum order to states with that property. Finally, we show that the rate at which entropy can be created in a block of spins scales like the boundary of that block.
years
2026 2representative citing papers
Lattice CPT symmetry upgrades the Onsager chiral symmetry anomaly from order two to infinite order, better matching the continuum chiral anomaly, with discussion of associated 2+1d SPT phases.
citing papers explorer
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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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Infinite-Order Lattice Chiral Anomalies and CPT
Lattice CPT symmetry upgrades the Onsager chiral symmetry anomaly from order two to infinite order, better matching the continuum chiral anomaly, with discussion of associated 2+1d SPT phases.