Short-time real-time pseudo entropy obeys S_A(t,0)=S_A(0)-it ⟨K_A(H−⟨H⟩)⟩ + O(t²), with imaginary response from symmetrized covariance of H and K_A.
Fidelity approach to quantum phase transitions.International Journal of Modern Physics B, 24(23):4371–4458, September 2010
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abstract
We review briefly the quantum fidelity approach to quantum phase transitions in a pedagogical manner. We try to relate all established but scattered results on the leading term of the fidelity into a systematic theoretical framework, which might provide an alternative paradigm for understanding quantum critical phenomena. The definition of the fidelity and the scaling behavior of its leading term, as well as their explicit applications to the one-dimensional transverse-field Ising model and the Lipkin-Meshkov-Glick model, are introduced at the graduate-student level. In addition, we survey also other types of fidelity approach, such as the fidelity per site, reduced fidelity, thermal-state fidelity, operator fidelity, etc; as well as relevant works on the fidelity approach to quantum phase transitions occurring in various many-body systems.
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Local perturbations induce synthetic twist defects in the surface code; simplified spin and Majorana models plus numerics locate the driving quantum phase transition.
A framework detects chaos via divergence of speed-Fisher information under slow driving, controlled by low-frequency spectral weight and tied to entropy production, applying to classical, quantum, and non-Hamiltonian systems.
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Real-time pseudo entropy and modular-Hamiltonian correlations
Short-time real-time pseudo entropy obeys S_A(t,0)=S_A(0)-it ⟨K_A(H−⟨H⟩)⟩ + O(t²), with imaginary response from symmetrized covariance of H and K_A.
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Emergence of synthetic twist defects in the surface code under local perturbation
Local perturbations induce synthetic twist defects in the surface code; simplified spin and Majorana models plus numerics locate the driving quantum phase transition.
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Universal Dynamical Response to Slow Driving in Chaotic Systems
A framework detects chaos via divergence of speed-Fisher information under slow driving, controlled by low-frequency spectral weight and tied to entropy production, applying to classical, quantum, and non-Hamiltonian systems.