2019/01/24 by Antônio C. Lourenço, Tiago Debarba, Eduardo I. Duzzioni · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Atomic and Subatomic Physics Research #Formalism (music) #Mathematics #Philosophy #Physics #Quantization (signal processing) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Second quantization #Statistical physics #TRACE (psycholinguistics) #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.99.012341
published as Phys. Rev. A 99, 012341 (2019) · 6 pages, 1 figure
openalex publication_date 2019/01/24 · openalex created_date 2019/02/21 · arxiv created 2019/05/14 · arxiv updated 2019/05/16 · openalex updated_date 2026/08/05
There is a debate ongoing about the quantification of entanglement of indistinguishable particles, and recently a new method due to Lo Franco and Compagno (LFC) [Sci. Rep. 6, 20603 (2016)] has appeared with the aim of settling the controversies of this debate. In this work we show that the LFC approach can be recovered using the second quantization formalism and a local single-particle basis to perform the trace over a one-particle state. The use of the second quantization formalism has the advantage of being well known in many-body physics. We also compare the LFC and second quantization approaches or, equivalently, the effect of the partial trace over one particle depending on the local and nonlocal character of the single-particle basis. Additionally, we study the role played by the exchange correlations in the quantification of entanglement of indistinguishable particles.