Non-standard Neutral Kaon Dynamics from Infinite Statistics

Abstract

The neutral kaon system can be effectively described by non-unitary, dissipative, completely positive dynamics that extend the usual treatment. In the framework of open quantum systems, we show how the origin of these non-standard time evolutions can be traced to the interaction of the kaon system with a large environment. We find that a heat bath of quanta obeying infnite statistics could constitute a realistic example of such an environment. 1999Academic Press

Neutral kaons in medium: decoherence effects

“…There are other [8], [18] models where these cofficients do not obey this constraints, when the effects are induced by quantum gravity. Let's adopt the model of two-component evolution with r 1 = 1 − r 2 , r 2 = O(∆τ ) ≪ 1.…”

Damped harmonic oscillators in the holomorphic representation

“…When the typical time scale in the evolution of the subsystem S is much larger than the characteristic time correlations in the environment, one expects (and actually proves) the disappearance of memory and non-linear phenomena, although quantum coherence is usually lost. [1][2][3][4][5] In such cases, the states of S, conveniently described by a density matrix ρ, are seen to evolve in time by means of a family of linear maps that obey very basic physical requirements, like forward in time composition (semigroup property) and complete positivity. They form a so-called quantum dynamical semigroup.…”

Planck-scale dissipative effects in atom interferometry

“…In fact, for subsystems ‡ In this respect, it should be noted that even in absence of any external field, a hierarchy between ω and the other dissipative parameters a, b, c, α, β and γ could be nevertheless generated by the interaction with the environment. For details, see [16] and the Appendix in [29].…”

“…In the case of non-standard phenomena induced by the dynamics of fundamental objects (strings, branes) at Planck's mass M P , an upper bound on the magnitude of the dissipative parameters can be roughly evaluated to be of order M 2 A /M P , where M A is the mass of the atoms used in the interferometer [16,29]; in typical real situations, this ratio takes values between 10 −18 and 10 −15 GeV (or equivalently, between 10 3 and 10 6 KHz).…”