Irreversibility and dissipation in neutral B-meson decays

Abstract

The propagation and decay of neutral B-mesons can be described in terms of quantum dynamical semigroups; they provide generalized timeevolutions that take into account possible non-standard effects leading to loss of phase coherence and dissipation. These effects can be fully parametrized in terms of six phenomenological constants. A detailed analysis of selected B-meson decays shows that present and future dedicated experiments, both at colliders and B-factories, will be able to put stringent bounds on these non-standard parameters.

Quantum correlations in B and K meson systems

“…The treatment of unstable systems has a long and distinguished history [21][22][23][24][25][26][27][28][29][30][31][32], and continues to be of interest today [33]. The requirement of causality prohibits a physical state with complex energy [23], while the study of decay of unstable states is facilitated by the use of the density matrix formalism.…”

Many Unstable Particles from an Open Quantum System's Perspective

“…Indeed, one needs to use probability theory rather than quantum mechanics for this purpose. Since the calculations of conditional probabilities are extremely important for analysis of correlation experiments, especially of those done for systems of neutral kaons [4][5][6][7][8][9][10][11][12] or B-mesons [13][14][15], it would be desirable to find a quantum mechanical description of decaying particles preserving unit trace and positivity [16][17][18][19][20][21][22] of the density operator for the system. Recent papers (e.g.…”

Open Quantum Dynamics: Complete Positivity and Entanglement

“…21 These effects produce distinctive signatures in the behaviour of selected physical observables, allowing direct experimental testing (for specific treatments and further details, see Refs. [22][23][24][25][26][27][28][29][30][31][32]). …”

“…(4) Beside the pseudo commutator, the remaining contribution to dissipation comes from a term that, in the case of completely positive γ t , can be put in KrausStinespring form as done in (30). Such a term corresponds to what in classical Brownian motion is the diffusive effect of white-noise.…”