Low dimensional manifolds for exact representation of open quantum systems

Abstract : Weakly nonlinear degrees of freedom in dissipative quantum systems tend to localize near manifolds of quasiclassical states. We present a family of analytical and computational methods for deriving optimal unitary model transformations that reduce the complexity of representing typical states. These transformations minimize the quantum relative entropy distance between a given state and particular quasiclassical manifolds. This naturally splits the description of quantum states into transformation coordinates that specify the nearest quasiclassical state and a transformed quantum state that can be represented in fewer basis levels. We derive coupled equations of motion for the coordinates and the transformed state and demonstrate how this can be exploited for efficient numerical simulation. Our optimization objective naturally quantifies the nonclassicality of states occurring in some given open system dynamics. This allows us to compare the intrinsic complexity of different open quantum systems.
Type de document :
Article dans une revue
Physical Review A, American Physical Society, In press, 96 (6), 〈10.1103/physreva.96.062113 〉
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01717871
Contributeur : Nina Amini <>
Soumis le : lundi 26 février 2018 - 19:07:00
Dernière modification le : jeudi 5 avril 2018 - 12:30:25

Identifiants

Citation

Nikolas Tezak, Nina H. Amini, Hideo Mabuchi. Low dimensional manifolds for exact representation of open quantum systems. Physical Review A, American Physical Society, In press, 96 (6), 〈10.1103/physreva.96.062113 〉. 〈hal-01717871〉

Partager

Métriques

Consultations de la notice

70