Contact manifolds and dissipation, classical and quantum

Journal Article · Wed Nov 14 23:00:00 EST 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.09.012· OSTI ID:22848403

Motivated by a geometric decomposition of the vector field associated with the Gorini–Kossakowski–Lindblad–Sudarshan (GKLS) equation for finite-level open quantum systems, we propose a generalization of the recently introduced contact Hamiltonian systems for the description of dissipative-like dynamical systems in the context of (non-necessarily exact) contact manifolds. In particular, we show how this class of dynamical systems naturally emerges in the context of Lagrangian Mechanics and in the case of nonlinear evolutions on the space of pure states of a finite-level quantum system.

• OSTI ID: 22848403
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 398; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DYNAMICAL SYSTEMS
HAMILTONIANS
LAGRANGIAN FUNCTION
NONLINEAR PROBLEMS
PURE STATES
QUANTUM MECHANICS
QUANTUM SYSTEMS
VECTOR FIELDS