Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under
  Lur'e Type Perturbations of Hamiltonians   This paper is concerned with a stochastic dissipativity theory using
quadratic-exponential storage functions for open quantum systems with
canonically commuting dynamic variables governed by quantum stochastic
differential equations. The system is linearly coupled to external boson fields
and has a quadratic Hamiltonian which is perturbed by nonquadratic functions of
linear combinations of system variables. Such perturbations are similar to
those in the classical Lur'e systems and make the quantum dynamics nonlinear.
We study their effect on the quantum expectation of the exponential of a
positive definite quadratic form of the system variables. This allows
conditions to be established for the risk-sensitive stochastic storage function
of the quantum system to remain bounded, thus securing boundedness for the
moments of system variables of arbitrary order. These results employ a
noncommutative analogue of the Doleans-Dade exponential and a multivariate
partial differential version of the Gronwall-Bellman lemma.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph