Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revealing the nature of non-equilibrium phase transitions with quantum
  trajectories   A damped and driven collective spin system is analyzed by using quantum state
diffusion. This approach allows for a mostly analytical treatment of the
investigated non-equilibrium quantum many body dynamics, which features a phase
transition in the thermodynamical limit. The exact results obtained in this
work, which are free of any finite size defects, provide a complete
understanding of the model. Moreover, the trajectory framework gives an
intuitive picture of the two phases occurring, revealing a spontaneously broken
symmetry and allowing for a qualitative and quantitative characterization of
the phases. We determine exact critical exponents, investigate finite size
scaling, and explain a remarkable non-algebraic behaviour at the transition in
terms of torus hopping.

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The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom