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: a review
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Quantum theory provides an extensive framework for the description of the equilibrium properties of quantum matter. Yet experiments in quantum simulators have now opened up a route towards generating quantum states beyond this equilibrium paradigm. While these states promise to show properties not constrained by equilibrium principles such as the equal a priori probability of the microcanonical ensemble, identifying general properties of nonequilibrium quantum dynamics remains a major challenge especially in view of the lack of conventional concepts such as free energies. The theory of dynamical quantum phase transitions attempts to identify such general principles by lifting the concept of phase transitions to coherent quantum real-time evolution. This review provides a pedagogical introduction to this field. Starting from the general setting of nonequilibrium dynamics in closed quantum many-body systems, we give the definition of dynamical quantum phase transitions as phase transitions in time with physical quantities becoming nonanalytic at critical times. We summarize the achieved theoretical advances as well as the first experimental observations, and furthermore provide an outlook onto major open questions as well as future directions of research.
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Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.
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.
Pseudo entropy distinguishes topological from trivial phases in the SSH model via sign of averaged excess entropy ΔS12 and tracks quench critical times with its imaginary part.
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.
citing papers explorer
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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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Imaginary pseudo entropy encodes temporal orientation
Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.
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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.
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Pseudo entropy and topological phases of matter
Pseudo entropy distinguishes topological from trivial phases in the SSH model via sign of averaged excess entropy ΔS12 and tracks quench critical times with its imaginary part.
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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.