2023/08/03 by Mrinal Kanti Sarkar, Sarkar, Mrinal Kanti, Saranyo Moitra +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Other Condensed Matter (cond-mat.other) #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2308.01964
openalex publication_date 2023/08/03 · openalex created_date 2023/08/08 · openalex updated_date 2026/07/28
The scaling of entanglement entropy with subsystem size fails to distinguish between gapped and gapless ground state of a scalar field theory in d>1 dimensions. We show that the scaling of angular momentum resolved entanglement entropy S_ℓ with the subsystem radius R can clearly distinguish between these states. For a massless theory with momentum cut-off Λ, S_ℓ ∼ ln [ΛR/ℓ] for ΛR ≫ ℓ, while S_ℓ ∼ R0 for the massive theory. In contrast, for a free Fermi gas with Fermi wave vector kF, S_ℓ ∼ ln [kF R] for kF R ≫ ℓ. We show how this leads to an ``area-log'' scaling of total entanglement entropy of Fermions, while the extra factor of ℓ leads to a leading area law even for massless Bosons.