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.
Thermodynamical Property of Entanglement Entropy for Excited States
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abstract
We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the inverse of the subsystem size. This provides a universal relationship between the energy and the amount of quantum information. We derive the results using holography and confirm them in two dimensional field theories. We will also comment on an example with negative specific heat and suggest a connection between the second law of thermodynamics and the strong subadditivity of entanglement entropy.
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UNVERDICTED 3representative citing papers
A variational perturbative method using the inhomogeneous Jacobi equation computes first-order changes in holographic subregion complexity for strip and disk subsystems under boosted black brane perturbations in AdS4, with the linear term vanishing for spherical subsystems.
Dark-scalar portals in holographic anisotropic superfluids yield negative strip susceptibility at vanishing strength in D=4,5 backgrounds, interpreted as UV decoupling of the portal.
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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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Inhomogeneous Jacobi equation and Holographic subregion complexity
A variational perturbative method using the inhomogeneous Jacobi equation computes first-order changes in holographic subregion complexity for strip and disk subsystems under boosted black brane perturbations in AdS4, with the linear term vanishing for spherical subsystems.
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Dark-Sector Deformations of Holographic Anisotropic Superfluids in Asymptotically Hyperscaling Violation Geometry
Dark-scalar portals in holographic anisotropic superfluids yield negative strip susceptibility at vanishing strength in D=4,5 backgrounds, interpreted as UV decoupling of the portal.