Derives universal scaling c_n ~ τ_Q^{-α_n} for work cumulant densities in driven critical O(N) models from RG flow of composite operators, with α_n = p(d+nz)ν/(1+pzν) for isolated quantum systems and α_n = pdν/(1+pzν) for open/classical systems.
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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In large-central-charge holographic CFTs, post-quench mutual information organizes into six phases governed by conformal block dominance and D4 symmetry breaking to Z2 x Z2.
Holographic simulations demonstrate that Z2 and U(1) topological defects universally seed phase separation, with cores expanding into domains under a double-quench protocol.
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.
Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.
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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A Field-Theoretic Framework for Work Statistics and Universal Scaling in Non-equilibrium Phase Transitions
Derives universal scaling c_n ~ τ_Q^{-α_n} for work cumulant densities in driven critical O(N) models from RG flow of composite operators, with α_n = p(d+nz)ν/(1+pzν) for isolated quantum systems and α_n = pdν/(1+pzν) for open/classical systems.
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Dynamical Entanglement Phase Transitions in Holographic CFTs
In large-central-charge holographic CFTs, post-quench mutual information organizes into six phases governed by conformal block dominance and D4 symmetry breaking to Z2 x Z2.
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Phase separation seeded by Z2 and U(1) topological defects from holography
Holographic simulations demonstrate that Z2 and U(1) topological defects universally seed phase separation, with cores expanding into domains under a double-quench protocol.
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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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Krylov Complexity in Periodically Driven CFTs and Critical Fermions
Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.
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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.