Quantum Zeno effect for entangled quantum states without detection and quantum Orpheus effect

Abstract

As it is well-known Misra and Sudarshan quantum Zeno effect represents the suppression of the decay of an unstable quantum system by means of the frequent detection procedure. Maniscalco et all demonstrated that quantum entanglement can be preserved via quantum Zeno effect, i.e. by frequent detection procedure. In this work we firstly suggest a simple example of quantum Zeno effect without any detection procedure, Here quantum entangled state is preserved by frequent quantum dynamical interaction only. Precisely, decay as the consequence of the quantum dynamical spontaneous emission process is suppressed by frequent pure quantum dynamical stimulated emission and absorption processes. Secondly, we consider a typical linear harmonic oscillator (initially in some excited quantum state) in cyclic quantum dynamical interaction (without any detection) with characteristic photon that can be absorbed or that can induce stimulated emission of a new photon by oscillator. Even if by non-frequent interactions oscillator can turn in next, higher excited state or in previous, lower excited state, by frequent dynamical interactions only first mentioned solution is allowed (like by Orpheus attempt to escape Eurydice).Comment: 7 pages no figure