Hamiltonian method for the stabilization of open quantum systems with given dissipations
YAN Jia-zhen
KUANG Sen
CHEN Meng-xi
CONG Shuang
Abstract：For open quantum systems described by the Lindblad master equation under given dissipations, this paper achieves the stabilization of the target equilibrium state by designing the system Hamiltonians. Via the coherence vector framework, the original matrix system model is transformed into a vector linear system and their stability equivalence is proved. By guaranteeing the stability of the vectorized linear model and letting its unique equilibrium state equal the desired target state, a frame for the design of the system Hamiltonian is obtained. In particular, this paper discusses the value range of the elements of the system Hamiltonian under these two conditions and points out that the system Hamiltonian can be obtained from their intersection set. Numerical simulation experiments on a two level system verify the effectiveness of the proposed Hamiltonian stabilization scheme.
Keywords：open quantum systemsmodel transformHamiltonian designstabilizationcoherence vector
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 1506-1513 )