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

NA Khan, X Wei, S Cheng, M Jan, G Xianlong - 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 …

Dynamical quantum phase transitions in strongly correlated two-dimensional spin lattices following a quench

F Brange, S Peotta, C Flindt, T Ojanen - Physical Review Research, 2022 - APS
Dynamical quantum phase transitions are at the forefront of current efforts to understand
quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of …

Dynamical bulk-boundary correspondence and dynamical quantum phase transitions in higher-order topological insulators

T Masłowski, N Sedlmayr - Physical Review B, 2023 - APS
Dynamical quantum phase transitions occur in dynamically evolving quantum systems when
nonanalyticities occur at critical times in the return rate, a dynamical analog of the free …

Linear-scale simulations of quench dynamics

NA Khan, W Chen, M Jan, G Xianlong - 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 …

Dynamical quantum phase transitions following double quenches: persistence of the initial state vs dynamical phases

H Cheraghi, N Sedlmayr - New Journal of Physics, 2023 - iopscience.iop.org
Dynamical quantum phase transitions (DQPTs) can occur following quenches in quantum
systems when the rate function, a dynamical analogue of the free energy, becomes non …

Energy-dependent dynamical quantum phase transitions in quasicrystals

S Ye, Z Zhou, NA Khan, G Xianlong - 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 …

A scale-free universal relational information matrix (N-space) reconciles the information problem: N-space as the fabric of reality

WB Miller Jr - Communicative & Integrative Biology, 2023 - Taylor & Francis
Cellular measurement is a crucial faculty in living systems, and exaptations are
acknowledged as a significant source of evolutionary innovation. However, the possibility …

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

NA Khan, S Ye, Z Zhou, S Cheng, G Xianlong - 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 …

Quantum dynamics in one and two dimensions via the recursion method

F Uskov, O Lychkovskiy - Physical Review B, 2024 - APS
We report an implementation of the recursion method that addresses quantum many-body
dynamics in the nonperturbative regime. The method essentially amounts to constructing a …

Scaling and universality at ramped quench dynamical quantum phase transitions

S Zamani, J Naji, R Jafari… - Journal of Physics …, 2024 - iopscience.iop.org
The nonequilibrium dynamics of a periodically driven extended XY model, in the presence of
linear time dependent magnetic field, is investigated using the notion of dynamical quantum …