scholarly journals Topological quantum quench dynamics carrying arbitrary Hopf and second Chern numbers

2018 ◽  
Vol 98 (20) ◽  
Author(s):  
Motohiko Ezawa
Keyword(s):  
Quantum Quench ◽  
Topological Quantum ◽  
Chern Numbers ◽  
Quench Dynamics

scholarly journals Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Maximilian Buser ◽  
Claudius Hubig ◽  
Ulrich Schollwöck ◽  
Leticia Tarruell ◽  
Fabian Heidrich-Meisner
Keyword(s):  
Ground State ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
Ground State Phases

Chern Numbers and Green's Functions in Solid State Physics

1997 ◽  
Vol 11 (11) ◽  
pp. 1389-1410
Author(s):  
Xiao-Rong Wu-Morrow ◽  
Cecile Dewitt-Morette ◽  
Lev Rozansky
Keyword(s):  
Periodic Potential ◽  
Solid State Physics ◽  
Hall Conductance ◽  
Energy Eigenvalues ◽  
Finite Dimensional ◽  
Topological Quantum ◽  
Chern Numbers ◽  
Density Response ◽  
Physical Quantities ◽  
Noninteracting Electron

Using the energy Green's function formulation proposed by Niu 1 for particle densities, we construct and clarify the nature of the topological invariant assigned to the Hall conductance in the Hall system of 2-dimensional noninteracting electron gas; we identify this topological quantum number explicitly as the first Chern number of a complex vector bundle over a 2-torus parametrized by the magnetic potential (a1, a2); the fibres are finite dimensional spaces spanned by eigenfunctions of the system with energy eigenvalues below the Fermi energy. Other cases can be treated by a similar procedure, namely, by recognizing that some physical quantities are integrals of curvatures defined on a nontrivial finite dimensional complex bundle. Therefore, in suitable units, they take integer values. We treat, as an example, the electron density response to a dilation of a periodic potential. The integer in this case is the number of Bloch bands. The quantization of the Hall conductance and density response is also shown in the presence of disorder.

Quantum quench dynamics of the one-dimensional Ising model in transverse field

Pramana ◽  
2019 ◽  
Vol 92 (4) ◽  
Author(s):  
Wei-Ke Zou ◽  
Nuo-Wei Li ◽  
Chong Han ◽  
Dong-dong Liu
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
One Dimensional ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
The One

scholarly journals Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Michal Kloc ◽  
Daniel Šimsa ◽  
Filip Hanák ◽  
Petra Ruth Kaprálová-Žďánská ◽  
Pavel Stránský ◽  
...  
Keyword(s):  
Phase Transition ◽  
Excited State ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Quantum Quench ◽  
Quench Dynamics
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