Entanglement Hamiltonian of the 1+1-dimensional free, compactified boson conformal field theory

Understand

Entanglement or modular Hamiltonians play a crucial role in the investigation of correlations in quantum field theories.

• In particular, in 1+1 space-time dimensions, the spectra of entanglement Hamiltonians of conformal field theories (CFTs) for certain geometries are related to the spectra of the physical Hamiltonians of corresponding boundary CFTs.
• As a result, conformal invariance allows exact computation of the spectra of the entanglement Hamiltonians for these models.
• In this work, we perform this computation of the spectrum of the entanglement Hamiltonian for the free compactified boson CFT over a finite spatial interval.