SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 47: Quantum-Critical Phenomena
TT 47.9: Vortrag
Donnerstag, 30. März 2023, 11:45–12:00, HSZ 204
Finite temperature entanglement negativity of fermionic topological phases and quantum critical points — •Wonjune Choi1,2, Frank Pollmann1,2, and Michael Knap1,2 — 1Department of Physics, Technical University of Munich, 85748 Garching, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany
In condensed matter physics, topology is vital in describing quantum phases of matter beyond the Ginzburg-Landau paradigm. Two symmetry-preserving quantum states may not be adiabatically connected if the topological structure encoded in the many-body entanglements is distinct. Hence, this talk presents how quantum entanglements can be quantified to unveil the underlying topological nature of the gapped topological phases and the quantum critical points. We demonstrate that the logarithmic negativity between spatially separated disjoint intervals can sharply count the topologically protected edge modes. Notably, the quantized values of the negativity could reveal the topological indices of the gapless quantum states described by the conformal field theories having the same central charge. At finite temperatures, the entanglement negativity for the disjoint intervals is no longer quantized. However, the negativity for the two adjacent intervals leaves the structure similar to the quantum critical fan, which signals the highly entangled ground state even at a finite temperature window.