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Register a new userShould recombinations of radical pairs be considered as accompanied by measurements?
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The so-called phenomenological kinetic equation for one-pair density operator for spin-selective reactions is defended. We derive this equation from the kinetic equation for density operator of all pairs which are treated as singlet and triplet bosons. There presented some reasons for inconsistency of measurement-like approach to the problem.
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We address the problem of relative frequencies of singlet and triplet recombinations in a multiparticle system, which consists of spin-correlated radical ion pairs. The nonlocal swapping of spin correlations due to cross-recombinations is taken into account. It is shown that this swapping does not contribute to singlet and triplet recombination frequencies in the absence of spin evolution in the correlated pairs.
We show that the stochastic Schrodinger equation (SSE) provides an ideal way to simulate the quantum mechanical spin dynamics of radical pairs. Electron spin relaxation effects arising from fluctuations in the spin Hamiltonian are straightforward to include in this approach, and their treatment can be combined with a highly efficient stochastic evaluation of the trace over nuclear spin states that is required to compute experimental observables. These features are illustrated in example applications to a flavin-tryptophan radical pair of interest in avian magnetoreception, and to a problem involving spin-selective radical pair recombination along a molecular wire. In the first of these examples, the SSE is shown to be both more efficient and more widely applicable than a recent stochastic implementation of the Lindblad equation, which only provides a valid treatment of relaxation in the extreme-narrowing limit. In the second, the exact SSE results are used to assess the accuracy of a recently-proposed combination of Nakajima-Zwanzig theory for the spin relaxation and Schulten-Wolynes theory for the spin dynamics, which is applicable to radical pairs with many more nuclear spins. An appendix analyses the efficiency of trace sampling in some detail, highlighting the particular advantages of sampling with SU(N) coherent states.
In this work we consider a possibility that Compton scattering can be considered as a typical measurement (detection) procedure within which electron behaves as the measuring apparatus, i.e. detector (pointer) of the propagation of the photon as the measured object. It represents a realistic variant of the old gendanken (though) experiment (discussed by Einstein, Bohr, Dirac, Feynman) of the interaction between the single photon as the measured object and a movable mirror as the measuring apparatus, i.e. detector (pointer). Here collapse by measurement is successfully modeled by spontaneous (non-dynamical) unitary symmetry (superposition) breaking (effective hiding) representing an especial case of the spontaneous (non-dynamical) breaking (effective hiding) of the dynamical symmetries. All this is full agreement with all existing experimental data and represents the definitive solution of the old problem of micro theoretical foundation of measurement or old problem of the foundation of quantum mechanics as a local (luminal) physical theory.
In a recent Letter [G. Chiribella et al., Phys. Rev. Lett. 98, 120501 (2007)], four protocols were proposed to secretly transmit a reference frame. Here We point out that in these protocols an eavesdropper can change the transmitted reference frame without being detected, which means the consistency of the shared reference frames should be reexamined. The way to check the above consistency is discussed. It is shown that this problem is quite different from that in previous protocols of quantum cryptography.
Experiments in preparation for search for uranium ternary fission by means of nuclear track emulsion are summarized. The study will be focused on the possible involvement of the unstable nucleus ${}^{8}$Be in the suggested scenario of the collinear tri-partition in the fission.
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