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Dissipative Frustration in a One Dimensional Josephson Junction Chain
Proceedings, 2019 We study the influence of dissipative frustration on the one dimensional Josephson junction chain. In particular we analyze the dissipative quantum phase transition between the chain being superconducting or insulating, the purity as a measure of quantum&
Dominik Maile +3 more
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The Sobolev-type equations of the second order with the relatively dissipative operator pencils
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators. The connection with
Alyona A Zamyshlyaeva +1 more
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Dissipative Deep Neural Dynamical Systems
IEEE Open Journal of Control Systems, 2022 In this paper, we provide sufficient conditions for dissipativity and local asymptotic stability of discrete-time dynamical systems parametrized by deep neural networks.
Jan Drgona +3 more
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Trace formulae for dissipative and coupled scattering systems [PDF]
, 2007 For scattering systems consisting of a (family of) maximal dissipative extension(s) and a selfadjoint extension of a symmetric operator with finite deficiency indices, the spectral shift function is expressed in terms of an abstract Titchmarsh-Weyl ...
Behrndt, Jussi +2 more
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Dissipative operators and series inequalities [PDF]
Bulletin of the Australian Mathematical Society, 1981 Of concern is the best constant K in the inequality ‖Ax‖2 ≤ K‖A2x‖‖x‖ where A generates a strongly continuous contraction semigroup in a Hilbert space. Criteria are obtained for approximate extremal vectors x when K = 2 (K ≤ 2 always holds). By specializing A + I to be a shift operator on a sequence space, very simple proofs of Copson's recent results ...
Gindler, Herbert A. +1 more
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European Physical Journal C: Particles and Fields, 2020 The classical and quantum formulations for open systems related to dissipative dynamics are constructed on a complex hyperbolic ring, following universal symmetry principles, and considering the double thermal fields approach for modeling the system of ...
R. Cartas-Fuentevilla +2 more
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Non-markovian mesoscopic dissipative dynamics of open quantum spin chains
, 2016 We study the dissipative dynamics of $N$ quantum spins with Lindblad generator consisting of operators scaling as fluctuations, namely with the inverse square-root of $N$.
Benatti, Fabio +3 more
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Functions of perturbed dissipative operators [PDF]
St. Petersburg Mathematical Journal, 2012 We generalize our results of \cite{AP2} and \cite{AP3} to the case of maximal dissipative operators. We obtain sharp conditions on a function analytic in the upper half-plane to be operator Lipschitz.
Aleksandrov, A. B., Peller, V. V.
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, 2011 The limit behavior of trajectories of dissipative quadratic stochastic operators on a finite-dimensional simplex is fully studied. It is shown that any dissipative quadratic stochastic operator has either unique or infinitely many fixed points.
Bernstein S. N. +2 more
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Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation
, 2016 We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators.
Banerjee, Debasish +3 more
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