Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the effect of decoherence on quantum tunnelling   This work proposes a series of quantum experiments that can, at least in
principle, allow for examining microscopic mechanisms associated with
decoherence. These experiments can be interpreted as a quantum-mechanical
version of non-equilibrium mixing between two volumes separated by a thin
interface. One of the principal goals of such experiments is in identifying
non-equilibrium conditions when time-symmetric laws give way to
time-directional, irreversible processes, which are represented by decoherence
at the quantum level. The rate of decoherence is suggested to be examined
indirectly, with minimal intrusions -- this can be achieved by measuring
tunnelling rates that, in turn, are affected by decoherence. Decoherence is
understood here as a general process that does not involve any significant
exchanges of energy and governed by a particular class of the Kraus operators.
The present work analyses different regimes of tunnelling in the presence of
decoherence and obtains formulae that link the corresponding rates of
tunnelling and decoherence under different conditions. It is shown that the
effects on tunnelling of intrinsic decoherence and of decoherence due to
unitary interactions with the environment are similar but not the same and can
be distinguished in experiments.

5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics