The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 23 4 2024 02 20 Anti-Kibble-Zurek behavior in Su–Schrieffer–Heeger (SSH) model with noisy coupling crossing the quantum critical point Anti-Kibble-Zurek behavior in Su–Schrieffer–Heeger (SSH) model with noisy coupling crossing the quantum critical point 637 642 3460 10.47176/ijpr.23.4.11818 FA Jalil Naji Department of Physics, Faculty of Science, Ilam University, Ilam, Iran Saeid Ansari Department of Engineering Sciences and Physics, Buein Zahra Technical University, Buein Zahra, Iran 0000-0003-2018-2764 Rohollah Jafari -Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran -School of Nano Science, Institute for Research in Fundamental Sciences (IPM), Tehran, 19395-5531, Iran. 0000-0003-0904-0538 Journal Article 2024 01 08 In this paper we show that if we impose noise to the time varying coupling parameter of a closed system, then the system exhibits anti-Kibble-Zurek behavior leading to growth of excitations. Furthermore, our finding indicates that to minimize excitations, there is optimal ramp time, which is proportional to the noise strength but the exponent does not show agreement with the results of previous works. It is demonstrated there are restrictions of adiabatic protocols, like quantum annealing, and the rate of optimal ramp time is universal. In this paper we show that if we impose noise to the time varying coupling parameter of a closed system, then the system exhibits anti-Kibble-Zurek behavior leading to growth of excitations. Furthermore, our finding indicates that to minimize excitations, there is optimal ramp time, which is proportional to the noise strength but the exponent does not show agreement with the results of previous works. It is demonstrated there are restrictions of adiabatic protocols, like quantum annealing, and the rate of optimal ramp time is universal. https://ijpr.iut.ac.ir/article_3460_56503192b14190d3826780d47c0d3bf3.pdf