Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Out-of-equilibrium quantum dynamics of fermionic gases in the presence
  of localized particle loss   We address the effects of dissipative defects giving rise to a localized
particle loss, in one-dimensional non-interacting lattice fermionic gases
confined within a region of size $\ell$. We consider homogeneous systems within
hard walls and inhomogeneous systems where the particles are trapped by
space-dependent external potentials, such as harmonic traps. We model the
dissipative particle-decay mechanism by Lindblad master equations governing the
time evolution of the density matrix. The resulting quantum dynamics is
analyzed in protocols starting from the ground state of the Hamiltonian for
$N_0$ particles, then evolving under the effect of one dissipative
particle-loss defect, for example at the center of the system. We study the
interplay between time, size $\ell$ and the number $N_0$ of initial particles,
considering two different situations: (i) fixed number $N_0$ of initial
particles; (ii) fixed ratio $N_0/\ell$, corresponding to the thermodynamic
limit of the initial equilibrium state. We show that the quantum evolutions of
the particle number and density develop various asymptotic and intermediate
dynamic regimes, and nontrivial large-time states when the dissipative
mechanism acts at the center of the system.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio