Nonlinearity and constrained quantum motion

Abstract

The dynamical equation satisfied by the density matrix, when a quantum system is subjected to one or more constraints arising from conserved quantities, is derived. The resulting nonlinear motion of the density matrix has the property that the evolution is independent of the specific composition of the pure-state mixture generating the initial state of the system.

8 pages, 1 figure

References in corpus (3)

• Hamiltonian Quantum Dynamics With Separability Constraints
• On the geometry of quantum constrained systems
• Metric approach to quantum constraints

Cited by in corpus (6)

• Mixed-state evolution in the presence of gain and loss
• Vacuum Cherenkov effect in logarithmic nonlinear quantum theory
• Hot Fluids and Nonlinear Quantum Mechanics
• Temporal correlation beyond quantum bounds in non-hermitian dynamics
• Jensen-Shannon Divergence and Non-linear Quantum Dynamics
• Approach for modelling quantum-mechanical collapse