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.
Dynamical quantum phase transitions in systems with broken-symmetry phases
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abstract
In this work it is shown that dynamical quantum phase transitions in Loschmidt echos control the nonequilibrium dynamics of the order parameter after particular quantum quenches in systems with broken-symmetry phases. A direct connection between Loschmidt echos and the order parameter dynamics is established which links nonequilibrium microscopic probabilities to the system's macroscopic dynamical properties. These concepts are illustrated numerically using exact diagonalization for quantum quenches in the XXZ chain with initial N\'eel states. An outlook is given how to explore these predictions experimentally with ultra-cold gases in optical lattices.
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2026 2verdicts
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Proves intractability of DQPT estimation on quantum computers but equivalence of subsystem DQPT decision to quantum circuit simulation, with quadratic speedup for critical time search.
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Provable Quantum Advantage for Dynamical Phase Transition
Proves intractability of DQPT estimation on quantum computers but equivalence of subsystem DQPT decision to quantum circuit simulation, with quadratic speedup for critical time search.