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Markovian dynamics of open quantum systems are described by the L-GKS equation, known also as the Lindblad equation.
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
Cornelius Lanczos · 1950
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The principle of minimized iterations in the solution of the matrix eigenvalue problem
Walter Edwin Arnoldi · 1951
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Master-equation approach to spontaneous emission
GS Agarwal · 1970
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General state changes in quantum theory
Karl Kraus · 1971
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Quantum theory of open systems
Edward Brian Davies · 1976
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On the generators of quantum dynamical semigroups
Goran Lindblad · 1976
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Completely positive dynamical semigroups of n-level systems
Vittorio Gorini, Andrzej Kossakowski, and Ennackal Chandy George Sudarshan · 1976
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Connection between the maximal entropy and the scattering theoretic analyses of collision processes
Y Alhassid and RD Levine · 1978
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Handbook of stochastic methods
Crispin W Gardiner et al · 1985
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Analysis of some krylov subspace approximations to the matrix exponential operator
Y. Saad · 1992
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Topics in matrix analysis
Horn Roger and R Johnson Charles · 1994
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Numerical linear algebra
Lloyd N Trefethen and David Bau III · 1997
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Atom-Photon Interactions: Basic Process and Appilcations
Claude Cohen-Tannoudji, Jacques Dupont-Roc, and Gilbert Grynberg · 1998
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Quantum dynamical systems
Robert Alicki and Mark Fannes · 2001
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Open quantum systems
Breuer, HP and Petruccione, F · 2002
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Discrete four-stroke quantum heat engine exploring the origin of friction
Matrix algebra
Karim M Abadir and Jan R Magnus · 2005
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Irreversible performance of a quantum harmonic heat engine
Yair Rezek and Ronnie Kosloff · 2006
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Quantum Dynamical Semigroups and Applications
Robert Alicki and Karl Lendi · 2007
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On restart and error estimation for Krylov approximation of w = f ( A ) v w=f({A})v
Hillel Tal-Ezer · 2007
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Computing the action of the matrix exponential, with an application to exponential integrators
Awad H. Al-Mohy and Nicholas J. Higham · 2011
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Surprising interactions of markovian noise and coherent driving
Machnes, Shai and Penio, Martin B · 2014
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Ronnie Kosloff and Tova Feldmann · 2002
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Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
Cleve Moler and Charles Van Loan · 2003
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Exceptional points for parameter estimation in open quantum systems: analysis of the bloch equations
Morag Am-Shallem, Ronnie Kosloff, and Nimrod Moiseyev · 2015
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Parameter estimation in atomic spectroscopy using exceptional points
Morag Am-Shallem, Ronnie Kosloff, and Nimrod Moiseyev · 2015
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