Complete Positivity and the K K-bar system

Abstract

Models that provide experimentally testable violations of ordinary Quantum Mechanics have been recently proposed. These models are based on non-unitary time evolutions of density matrices that are generated by linear positive maps. We discuss the consequences of imposing a stronger condition on those maps, known as complete positivity. It turns out that experimental data on the neutral kaon system giving upper bounds to the parameters characterizing positive maps, also give bounds to those determining completely positive ones.

9 pages, plain-tex, no figures, to appear in Phys. Lett. B

References in corpus (4)

• On Evolution Laws Taking Pure States to Mixed States in Quantum Field Theory
• Precision Tests of CPT Symmetry and Quantum Mechanics in the Neutral Kaon System
• Violation of CPT and Quantum Mechanics in the K0--K0bar System
• Is Purity Eternal?

Cited by in corpus (21)

• Probing possible decoherence effects in atmospheric neutrino oscillations
• Probing non-standard decoherence effects with solar and KamLAND neutrinos
• Reconciling results of LSND, MiniBooNE and other experiments with soft decoherence
• Completely positive dynamics of correlated neutral kaons
• Quantum Dissipative Effects and Neutrinos : current constraints and future perspectives
• Nonlinear quantum evolution with maximal entropy production
• Davies maps for qubits and qutrits
• Intrinsic CPT violation and decoherence for entangled neutral mesons
• Dissipation in a 2-dimensional Hilbert space: Various forms of complete positivity
• Experimental limits on complete positivity from the K-K system
• Complete positivity of nonlinear evolution: A case study
• Restriction on relaxation times derived from the Lindblad-type master equations for 2-level systems
• Unstable particles as open quantum systems
• Density Matrix Formalism for PT-Symmetric Non-Hermitian Hamiltonians with the Lindblad Equation
• Nonlinear Quantum Mechanics at the Planck Scale
• Non-linear quantum mechanics and high energy cosmic rays
• Neutral kaons as an open quantum system in a second quantization approach
• On linearity of separating multi-particle differential Schrödinger operators for identical particles
• Many unstable particles from an open quantum systems perspective
• Tests For Complete Positivity of Quantum Channels
• The Quantum Field Theory of the Kaon Oscillations