Quantum dissipation from power-law memory

A new quantum dissipation model based on memory mechanism is suggested. Dynamics of open and closed quantum systems with power-law memory is considered. The processes with power-law memory are described by using integration and differentiation of non-integer orders, by methods of fractional calculus. An example of quantum oscillator with linear friction and power-law memory is considered.

► A new quantum dissipation model based on memory mechanism is suggested.
► The generalization of Lindblad equation is considered.
► An exact solution of generalized Lindblad equation for quantum oscillator with linear friction and power-law memory is derived.