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.
Nonequilibrium dynamics of closed interacting quantum systems
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abstract
This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or slow change of the coupling constants of the system Hamiltonian. We discuss several aspects of the slow dynamics in driven systems and emphasize the universality of such dynamics in gapless systems with specific focus on dynamics near continuous quantum phase transitions. We also review recent progress on understanding thermalization in closed systems through the eigenstate thermalization hypothesis and discuss relaxation in integrable systems. Finally we overview key experiments probing quantum dynamics in cold atom systems and put them in the context of our current theoretical understanding.
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SU(∞)-QGR yields an Einstein-like energy-momentum constraint that includes spin-1 gravitons and treats inflation and accelerating expansion as order parameters tracking the evolution of the universe's quantum states under Hilbert-space fragmentation.
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.
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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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Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity
SU(∞)-QGR yields an Einstein-like energy-momentum constraint that includes spin-1 gravitons and treats inflation and accelerating expansion as order parameters tracking the evolution of the universe's quantum states under Hilbert-space fragmentation.
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Coherent and dissipative dynamics at quantum phase transitions
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.