Quadratic dissipative evolution of Gaussian states with drift

The solution of the Cauchy problem for the Gorini–Kossakowski–Sudarshan–Lindblad equation describing the irreversible quantum evolution of an n-particle system with a generator, which is a quadratic function in creation-annihilation operators, is reduced to the calculation of standard algebraic func...

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Veröffentlicht in:Mathematical Notes 2017, Vol.101 (1-2), p.341-351
1. Verfasser: Teretenkov, A. E.
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description The solution of the Cauchy problem for the Gorini–Kossakowski–Sudarshan–Lindblad equation describing the irreversible quantum evolution of an n-particle system with a generator, which is a quadratic function in creation-annihilation operators, is reduced to the calculation of standard algebraic functions of 2 n × 2 n matrices.
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1573-8876
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subjects 2017
Cauchy problems
Dissipation
Evolution
February
Mathematics
Mathematics and Statistics
Number 2
Operators (mathematics)
Quadratic equations
Volume 101
title Quadratic dissipative evolution of Gaussian states with drift
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