Entanglement Entropy from the Truncated Conformal Space

Abstract

A new numerical approach to entanglement entropies of the Renyi type is proposed for one-dimensional quantum field theories. The method extends the truncated conformal spectrum approach and we will demonstrate that it is especially suited to study the crossover from massless to massive behavior when the subsystem size is comparable to the correlation length. We apply it to different deformations of massless free fermions, corresponding to the scaling limit of the Ising model in transverse and longitudinal fields. For massive free fermions the exactly known crossover function is reproduced already in very small system sizes. The new method treats ground states and excited states on the same footing, and the applicability for excited states is illustrated by reproducing Renyi entropies of low-lying states in the transverse field Ising model.

arXiv comment8 pages, 3 figures; v3: some typos corrected, figures replaced; v2: discussion in Sec. 2 expanded, some typos corrected, one new reference added

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Cited by in corpus (14)

• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Symmetry resolved relative entropies and distances in conformal field theory
• Symmetry resolved entanglement in two-dimensional systems via dimensional reduction
• Entanglement entropies of minimal models from null-vectors
• Relative Entanglement Entropies in 1+1-dimensional conformal field theories
• Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information
• Generalized entanglement entropies in two-dimensional conformal field theory
• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Unusual area-law violation in random inhomogeneous systems
• Chiral entanglement in massive quantum field theories in 1+1 dimensions
• Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
• Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
• Post-Quantum Quench Growth of Renyi Entropies in Low Dimensional Continuum Bosonic Systems
• On symmetry-resolved generalized entropies