2014/03/31 by Ching Hua Lee, Peng Ye, Xiao-Liang Qi · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Duality (order theory) #Equivalence (formal languages) #Equivalence relation #Fermi Gamma-ray Space Telescope #Fermion #Quantum and electron transport phenomena #Quantum entanglement #Spectrum (functional analysis) #Topological Materials and Phenomena #cond-mat.other #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1088/1742-5468/2014/10/p10023
published as http://www.iop.org/EJ/abstract/1742-5468/2014/10/P10023 · 6 pages, 3 figures
arxiv created 2014/09/03 · openalex publication_date 2014/10/15 · arxiv updated 2015/02/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We propose an exact equivalence between the entanglement spectra of two completely different free-fermion systems at zero temperature. This equivalence follows from a position-momentum duality where the physical roles of the occupied band and real space projectors are exchanged. We examine the physical consequences of this duality in multi-band models and as an example also physically motivate the equivalence of the entanglement spectrum of a real space partitioned two-band topological insulator with that of a bilayer Fermi gas with an interlayer partition. This duality has an interesting relation with the Wannier Spectrum in the high-temperature limit and can also be extended to other basis-independent physical quantities like particle-number fluctuations.