Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative
  quantum spin systems   We address dissipation effects on the non-equilibrium quantum dynamics of an
ensemble of spins-1/2 coupled via an Ising interaction. Dissipation is modeled
by a (ohmic) bath of harmonic oscillators at zero temperature and correspond
either to the sound modes of a one-dimensional Bose-Einstein (quasi-)condensate
or to the zero-point fluctuations of a long transmission line. We consider the
dimer comprising two spins and the quantum Ising chain with long-range
interactions, and develop a (mathematically and numerically) exact stochastic
approach to address non-equilibrium protocols in the presence of an
environment. For the two spin case, we first investigate the dissipative
quantum phase transition induced by the environment through quantum quenches,
and study the effect of the environment on the synchronization properties.
Then, we address Landau-Zener-Stueckelberg-Majorana protocols for two spins,
and for the spin array. In this latter case, we adopt a stochastic mean-field
point of view and present a Kibble-Zurek type argument to account for
interaction effects in the lattice. Such dissipative quantum spin arrays can be
realized in ultra-cold atoms, trapped ions, mesoscopic systems, and are related
to Kondo lattice models.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex