Analytic Continuation and Temporal Entanglement in Relativistic QFTs Emerging from Quantum Many-Body Systems

We reinterpret the recent prescription for temporal entanglement entropy via analytic continuation in holographic quantum field theories from the vantage point of emergent relativistic quantum field theories (QFTs) arising from quantum many-body systems. By framing this analytic continuation in terms of tensor network constructions and saddle point structures in holography, we identify the operational underpinnings that connect non-relativistic microscopic models to low-energy temporal entanglement phenomena. We provide a physical justification for complex extremal surfaces and elaborate on the non-commutativity of analytic continuation and saddle selection, supporting these insights with analogies to quantum spin chains and Gaussian states. Our analysis reveals that the geometrization of time in strongly correlated many-body systems is not merely formal but possesses physically interpretable manifestations rooted in UV/IR correspondence and tensor network dualities.

کلیدواژه ها:

Quantum Entanglement ، Holography ، tensor networks ، analytic continuation ، saddle points ، UV/IR correspondence ، many-body systems