@article{ISI:000302697900010,
 abstract = {We study the quenching dynamics of a many-body system in one dimension
described by a Hamiltonian that has spatial periodicity. Specifically,
we consider a spin-1/2 chain with equal xx and yy couplings and subject
to a periodically varying magnetic field in the (z) over cap direction
or, equivalently, a tight-binding model of spinless fermions with a
periodic local chemical potential, having period 2q, where q is a
positive integer. For a linear quench of the strength of the magnetic
field (or chemical potential) at a rate 1/tau across a quantum critical
point, we find that the density of defects thereby produced scales as
1/tau(q/(q+1)), deviating from the 1/root tau scaling that is ubiquitous
in a range of systems. We analyze this behavior by mapping the
low-energy physics of the system to a set of fermionic two-level systems
labeled by the lattice momentum k undergoing a nonlinear quench as well
as by performing numerical simulations. We also show that if the
magnetic field is a superposition of different periods, the power law
depends only on the smallest period for very large values of tau,
although it may exhibit a crossover at intermediate values of tau.
Finally, for the case where a zz coupling is also present in the spin
chain, or equivalently, where interactions are present in the fermionic
system, we argue that the power associated with the scaling law depends
on a combination of q and the interaction strength.},
 article-number = {165425},
 author = {Thakurathi, Manisha and DeGottardi, Wade and Sen, Diptiman and
Vishveshwara, Smitha},
 doi = {10.1103/PhysRevB.85.165425},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {APR 12},
 number = {16},
 times-cited = {6},
 title = {Quenching across quantum critical points in periodic systems: Dependence
of scaling laws on periodicity},
 unique-id = {ISI:000302697900010},
 volume = {85},
 year = {2012}
}