Bosonic Gaussian states from conformal field theory

Abstract

We study nonchiral wave functions for systems with continuous spins obtained from the conformal field theory (CFT) of a free, massless boson. In contrast to the case of discrete spins, these can be treated as bosonic Gaussian states, which allows us to efficiently compute correlations and entanglement properties both in one (1D) and in two spatial dimensions (2D). In 1D, the computed entanglement entropy and spectra are in agreement with the underlying CFT. Furthermore, we construct a 1D parent Hamiltonian with a low-energy spectrum corresponding to that of a free, massless boson. In 2D, we find edge excitations in the entanglement spectrum, although the states do not have intrinsic topological order, as revealed by a determination of the topological entanglement entropy.

arXiv comment18 pages, 8 figures, v2: accepted version

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Cited by in corpus (4)

• Entanglement hamiltonians in 1D free lattice models after a global quantum quench
• On entanglement hamiltonians of an interval in massless harmonic chains
• Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
• Parent Hamiltonian Reconstruction of Jastrow-Gutzwiller Wavefunctions