On the generators of quantum dynamical semigroups

By G. Lindblad. 1976

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Citations in the corpus

Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference (2015, methodology): “Intuitively, our principle resembles the standard way to obtain Markovian dynamics of open systems, coupling a system to a statistically independent environment [45].”
Unitary circuits of finite depth and infinite width from quantum channels (2019, background): “[28] Goran Lindblad, “On the generators of quantum dynamical semigroups,” Communications in Mathematical Physics 48, 119–130 (1976).”
Theory of open quantum systems (2002, background): “The general form of markovian master equation The following theorem that classifies all Markovian master equations was proved independently by Lindblad [13] and Gorini, Kossakowski, Sudarshan [10].”
Keldysh field theory for driven open quantum systems (2015, background): “The dissipator has a characteristic Lindblad form [174, 175]: it contains an anticommutator term which describes dissipation; in order to conserve the norm tr(ρ) of the system density matrix, this term must be accompanied by fluctuations.”
Controllability properties for finite dimensional quantum Markovian master equations (2002, background): “This problem is of relevance whenever one is interested in quantum state manipulation in presence of nonunitary evolution, for example in the context of quantum information processing [4, 15, 17] and of molecular control [20].”
Quantum memories based on engineered dissipation (2010, methodology): “The master equation ρ̇ = LNN(ρ) for nearest neighbor majority voting is written as a Liouvillian in Lindblad form [23] as”
Geometry of quantum phase transitions (2019, methodology): “, a family of completely positive trace-preserving maps Et, which is strongly continuous and satisfies Et1Et2 = Et1+t2 [376, 154].”
Quantum decoherence (2019, background): “(37) that any dynamical map can be completely characterized in terms of a set of Kraus operators Wk ∈ HS with ∑ kWkW † k = IS [43, 59, 60, 122].”
Equivalence of Quantum Heat Machines, and Quantum-Thermodynamic Signatures (2015, methodology): “The dynamics of the working fluid (system) interacting with the heat baths is described by the Lindblad-GoriniKossakowski-Sudarshan (LGKS) master equation for the density matrix [79,86,87]:”
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance (2016, methodology): “Such semigroups are often called Lindblad semigroups.”
Markovian master equations for quantum thermal machines: local versus global approach (2017, background): “Since it does not guarantee positive evolution [1], further approximations are usually made to obtain a master equation in Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) form [3,4] ensuring completely positive dynamics.”
Quantum computation and quantum-state engineering driven by dissipation (2009, methodology): “Our goal is to find a master equation with a Liouvillian in Lindblad for”
A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains (2012, background): “[7] V. Gorini, A. Kossakowski and E. C. G. Sudarshan, Completely positive semigroups of N-level systems, J. Math.”
The Quantum Harmonic Otto Cycle (2016, background): “Equation (9) is known as a quantum Master equation [42] or L-GKS [40, 41].”
Stochastic Schrödinger equations (2003, background): “By Lindblad’s theorem [28] we have Tt = exp(tL) where the generator L : B → B has the following action”