Bound energy, entanglement and identifying critical points in 1D long-range Kitaev model

We investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction decays as a power law with exponent α , with broken conformal...

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Bibliographic Details
Published in:New Journal of Physics
Main Authors: Akash Mitra, Shashi C L Srivastava
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/adf2d2
Description
Summary:We investigate the entanglement structure of a bipartite quantum system through the lens of quantum thermodynamics in the absence of conformal symmetry. Specifically, we consider the long-range Kitaev model, where the pairing interaction decays as a power law with exponent α , with broken conformal symmetry for $\alpha\,\lt\,3/2$ . We analytically show that the bound energy, a quantum thermodynamical quantity, is linearly proportional to the square of entanglement entropy per unit system size for α  = 1 where conformal symmetry is broken. We further show that for all values of α , bound energy, in the thermodynamic limit, shows a pronounced minimum at the critical point, which enables the identification of µ  = 1.
ISSN:1367-2630