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Abstract
We present an interesting relationship between the orthogonality catastrophe (OC) and the quantum speed limit (QSL) for a spin chain with uniform nearest neighbour couplings perturbed by an impurity spin. We thoroughly study the catastrophic QSL that specifies a bound on the evolution time between the initial and final states and in this respect, link it to the emerging OC effect. It is found that the speed of state evolution subtle but fundamental, and the bound characterized by QSL shows the same behaviours as the OC effect in the thermodynamic limit. It allows us to reveal some universal properties, in particular finite temperature effects. Significantly, the threshold of temperature and system size is clearly demonstrated for the QSL under finite temperature.
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Details
1 Beijing Institute of Technology, School of Physics, Beijing, China (GRID:grid.43555.32) (ISNI:0000 0000 8841 6246); Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing, China (GRID:grid.43555.32) (ISNI:0000 0000 8841 6246)
2 Beijing Institute of Technology, School of Physics, Beijing, China (GRID:grid.43555.32) (ISNI:0000 0000 8841 6246)
3 Basque Foundation for Science, Ikerbasque, Bilbao, Spain (GRID:grid.424810.b) (ISNI:0000 0004 0467 2314); The Basque Country University (EHU/UPV), Department of Physics, Bilbao, Spain (GRID:grid.11480.3c) (ISNI:0000000121671098)