2019/09/30 by Damian Włodzyński, Daniel Pęcak, Tomasz Sowiński
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Complex system #Computer science #Entropy (arrow of time) #Fermion #Geometry #Mathematics #Phase transition #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum critical point #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Scaling #Statistical physics #Theoretical physics #Von Neumann architecture #Von Neumann entropy #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.101.023604
published as Phys. Rev. A 101, 023604 (2020) · contains supplementary material; authors' version accepted for publication
openalex created_date 2019/09/26 · openalex publication_date 2020/02/10 · arxiv created 2020/02/11 · arxiv updated 2020/02/12 · openalex updated_date 2026/08/05
Many-body systems undergoing quantum phase transitions reveal substantial growth of nonclassical correlations between different parties of the system. This behavior is manifested by characteristic divergences of the von Neumann entropy. Here we show that very similar features may be observed in one-dimensional systems of a few strongly interacting atoms when the structural transitions between different spatial orderings are driven by a varying shape of an external potential. When the appropriate adaptation of the finite-size scaling approach is performed in the vicinity of the transition point, few-fermion systems display a characteristic power-law invariance of divergent quantities.