2021/12/31 by Giuseppe Mussardo, Jacopo Viti · 12 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algorithm #Bipartite graph #Context (archaeology) #Discrete mathematics #Entropy (arrow of time) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1103/physreva.105.032404
published in Physical Review A 105(3) (American Physical Society) · 11 pages, 1 figure. Published version: some references added, discussion slightly improved
openalex publication_date 2022/03/02 · openalex created_date 2022/03/05 · arxiv created 2022/03/07 · arxiv updated 2022/03/08 · openalex updated_date 2026/08/05
Entangled quantum states share properties that do not have classical analogs, in particular, they show correlations that can violate Bell inequalities. It is therefore an interesting question to see what happens to entanglement measures -- such as the entanglement entropy for a pure state -- taking the semi-classical limit, where the naive expectation is that they may become singular or zero. This conclusion is however incorrect. In this paper, we determine the ℏ→ 0 limit of the bipartite entanglement entropy for a one-dimensional system of N quantum particles in an external potential and we explicitly show that this limit is finite. Moreover, if the particles are fermionic, we show that the ℏ→ 0 limit of the bipartite entanglement entropy coincides with the Shannon entropy of N bits.