@article{ISI:000385624400004,
 abstract = {We present generic conditions for phase band crossings for a class of
periodically driven integrable systems represented by free fermionic
models subjected to arbitrary periodic drive protocols characterized by
a frequency omega(D). These models provide a representation for the
Ising and XY models in d = 1, the Kitaev model in d = 2, several kinds
of superconductors, and Dirac fermions in graphene and atop topological
insulator surfaces. Our results demonstrate that the presence of a
critical point/region in the system Hamiltonian (which is traversed at a
finite rate during the dynamics) may change the conditions for phase
band crossings that occur at the critical modes. We also show that for d
> 1, phase band crossings leave their imprint on the equal-time
off-diagonal fermionic correlation functions of these models; the
Fourier transforms of such correlation functions, F-(k) over right
arrow0 (omega(0)), have maxima and minima at specific frequencies which
can be directly related to omega(D) and the time at which the phase
bands cross at (k) over right arrow = (k) over right arrow (0). We
discuss the significance of our results in the contexts of generic
Hamiltonians withN > 2 phase bands and the underlying symmetry of the
driven Hamiltonian.},
 article-number = {155122},
 author = {Mukherjee, Bhaskar and Sen, Arnab and Sen, Diptiman and Sengupta, K.},
 doi = {10.1103/PhysRevB.94.155122},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {OCT 13},
 number = {15},
 orcid-numbers = {Sen, Arnab/0000-0001-5342-8332},
 times-cited = {8},
 title = {Signatures and conditions for phase band crossings in periodically
driven integrable systems},
 unique-id = {ISI:000385624400004},
 volume = {94},
 year = {2016}
}