Quadratic dissipative evolution of Gaussian states with drift


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Abstract

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 2n × 2n matrices.

About the authors

A. E. Teretenkov

Lomonosov Moscow State University

Author for correspondence.
Email: taemsu@mail.ru
Russian Federation, Moscow

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