2014/07/03 by Maria Moreno-Cardoner, M. Moreno-Cardoner, Simone Paganelli +5
Mathematics · Physics and Astronomy · #Conformal field theory #Conformal map #Geometry #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Squashed entanglement #Theoretical physics #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1088/1742-5468/2014/10/p10008
published as J. Stat. Mech. (2014) P10008 · 19 pages, 8 figures
arxiv created 2014/07/03 · openalex publication_date 2014/10/01 · arxiv updated 2015/02/04 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
Abstract. The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement spectrum is linked to the symmetries that protect the different quantum phases. This relation extends even further at the phase transitions where a direct link associates the entanglement spectrum to the conformal field theory describing the former. For 2D systems much less is known. The lattice geometry becomes a crucial aspect to consider when studying entanglement and phase transitions. Here, we analyze the entanglement properties of triangular spin lattice models by considering also concepts borrowed from quantum information theory such as geometric entanglement. PACS numbers: 03.67.Mn,05.30.-d,64.60.Htar X iv