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Dissipation induced localization-delocalization transition in flat band systems [PDF]
iScienceSummary: The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions.
Mingdi Xu +3 more
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Dissipative Sturm-Liouville Operators with Transmission Conditions [PDF]
Abstract and Applied Analysis, 2013 In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated
Hüseyin Tuna, Aytekin Eryılmaz
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Extensions of dissipative operators with closable imaginary part [PDF]
Opuscula Mathematica, 2021 Given a dissipative operator \(A\) on a complex Hilbert space \(\mathcal{H}\) such that the quadratic form \(f \mapsto \text{Im}\langle f, Af \rangle\) is closable, we give a necessary and sufficient condition for an extension of \(A\) to still be ...
Christoph Fischbacher
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Spectral and steady-state properties of fermionic random quadratic Liouvillians
SciPost Physics, 2023 We study spectral and steady-state properties of generic Markovian dissipative systems described by quadratic fermionic Liouvillian operators of the Lindblad form.
João Costa, Pedro Ribeiro, Andrea De Luca, Tomaž Prosen, Lucas Sá
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A Classification of Fourth-Order Dissipative Differential Operators
Journal of Function Spaces, 2020 This paper is devoted to the classification of the fourth-order dissipative differential operators by the boundary conditions. Subject to certain conditions, we determine some nonself-adjoint boundary conditions that generate the fourth-order ...
Tao Wang, Ji-jun Ao, Mei-chun Yang
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Dissipative operators and operator Lipschitz functions [PDF]
Proceedings of the American Mathematical Society, 2019 14 pages.
Aleksandrov A.B. +2 more
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Nonunitary gate operations by dissipation engineering
Quantum Science and Technology, 2022 Abstract Irreversible logic is at odds with unitary quantum evolution. Emulating such operations by classical measurements can result in disturbances and high resource demands. To overcome these limitations, we propose protocols that harness dissipation to realize the nonunitary evolution required for irreversible gate operations.
Elias Zapusek +2 more
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Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
PRX Quantum, 2023 We develop a theory of symmetry in open quantum systems. Using the operator-state mapping, we characterize symmetry of Liouvillian superoperators for the open quantum dynamics by symmetry of operators in the double Hilbert space and apply the 38-fold ...
Kohei Kawabata +4 more
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Limiting absorption principle for the dissipative Helmholtz equation [PDF]
, 2009 Adapting Mourre's commutator method to the dissipative setting, we prove a limiting absorption principle for a class of abstract dissipative operators.
Amrein W. +20 more
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Lindbladian dissipation of strongly-correlated quantum matter
Physical Review Research, 2022 We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of dissipative many-body quantum chaos. It describes N strongly coupled Majorana fermions with random all-to-all interactions, with unitary evolution given by a quartic ...
Lucas Sá, Pedro Ribeiro, Tomaž Prosen
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