Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quenching across quantum critical points in periodic systems: dependence
  of scaling laws on periodicity   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 direction or, equivalently, a
tight-binding model of spinless fermions with a periodic local chemical
potential, having period 2q, where q is a natural number. For a linear quench
of the magnetic field strength (or potential strength) at 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/\sqrt{\tau} scaling that is
ubiquitous to 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 non-linear quench as well as by
performing numerical simulations. We also find 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 cross-over 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 interaction strength.

1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph