Dynamical evolution in a one-dimensional incommensurate lattice with symmetry

Z Xu, S Chen - Physical Review A, 2021 - APS
We investigate the dynamical evolution of a parity-time (PT) symmetric extension of the
Aubry-André (AA) model, which exhibits the coincidence of a localization-delocalization …

[HTML][HTML] Dynamical phase transitions in dimerized lattices

NA Khan, X Wei, S Cheng, M Jan, G **anlong - Physics Letters A, 2023 - Elsevier
Nonequilibrium evolution of the quantum states extend the notion of quantum phase
transition to a dynamical scenario, corresponding to the singular behavior of Loschmidt echo …

Dynamics of a quantum phase transition in the Aubry-André-Harper model with -wave superconductivity

X Tong, YM Meng, X Jiang, C Lee, GDM Neto… - Physical Review B, 2021 - APS
We investigate the nonequilibrium dynamics of the one-dimension Aubry-André-Harper
model with p-wave superconductivity by changing the potential strength with slow and …

Linear-scale simulations of quench dynamics

NA Khan, W Chen, M Jan, G **anlong - Computer Physics Communications, 2024 - Elsevier
The accurate description and robust computational modeling of the nonequilibrium
properties of quantum systems remain a challenge in condensed matter physics. In this …

Energy-dependent dynamical quantum phase transitions in quasicrystals

S Ye, Z Zhou, NA Khan, G **anlong - Physical Review A, 2024 - APS
Recently the role of the mobility edge in localization transitions has been extensively studied
for one-dimensional tight-binding quasiperiodic models. In this work we study the mobility …

Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions

U Mishra, R Jafari, A Akbari - Journal of Physics A: Mathematical …, 2020 - iopscience.iop.org
We explore the dynamics of long-range Kitaev chain by varying pairing interaction exponent.
It is well known that the distinctive features of the nonequilibrium dynamics of a closed …

Chebyshev polynomial approach to Loschmidt echo: Application to quench dynamics in two-dimensional quasicrystals

NA Khan, S Ye, Z Zhou, S Cheng, G **anlong - Physical Review E, 2024 - APS
The understanding of quantum phase transitions in disordered or quasicrystal media is a
central issue in condensed matter physics. In this paper we investigate localization …

Kibble-Zurek scaling in one-dimensional localization transitions

X Bu, LJ Zhai, S Yin - Physical Review A, 2023 - APS
In this work, we explore the driven dynamics of the one-dimensional localization transitions.
By linearly changing the strength of disorder potential, we calculate the evolution of the …

Aperiodic dynamical quantum phase transition in multi-band Bloch Hamiltonian and its origin

K Cao, H Guo, G Yang - Journal of Physics: Condensed Matter, 2024 - iopscience.iop.org
We investigate the dynamical quantum phase transition (DQPT) in the multi-band Bloch
Hamiltonian of the one-dimensional periodic Kitaev model, focusing on quenches from a …

Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems

CB Mendl, JC Budich - Physical Review B, 2019 - APS
Dynamical quantum phase transitions (DQPTs) represent a counterpart in nonequilibrium
quantum time evolution of thermal phase transitions at equilibrium, where real time becomes …