Study of temporal quantum correlations in decoheringBandKmeson systems

Abstract

In this work we study temporal quantum correlations, quantified by Leggett-Garg (LG) and LGtype inequalities, in the B and K meson systems. We use the tools of open quantum systems to incorporate the effect of decoherence which is quantified by a single phenomenological parameter. The effect of CP violation is also included in our analysis. We find that the LG inequality is violated for both B and K meson systems, the violation being most prominent in the case of K mesons and least for Bs system. Since the systems with no coherence do not violate LGI, incorporating decoherence is expected to decrease the extent of violation of LGI and is clearly brought out in our results. We show that the expression for the LG functions depends upon an additional term, apart from the experimentally measurable meson transition probabilities. This term vanishes in the limit of zero decoherence. On the other hand, the LG-type parameter can be directly expressed in terms of transition probabilities, making it a more appropriate observable for studying temporal quantum correlations in neutral meson systems.

Nonclassicality in off-resonant Raman process

“…Specifically, the quantum states with negative Glauber-Sudarshan P function [1,2] are known as nonclassical states due to unavailability of a classical counterpart for such states. These nonclassical states can be generated from nonlinear optical couplers [3,4], Bose-Einstein condensates [5,6], optical [7,8] and optomechanical [9,10] cavity systems as well as nonlinear optical processes, such as parametric down-conversion [11,12], four-wave mixing [13], Raman and hyper-Raman scattering [14,15] (see [16] for review). A few examples of nonclassical states useful in quantum information processing are single photon source (which is an antibunched state) [17], squeezed [18], entangled [19], steerable [20], and Bell nonlocal [21] states particularly used for quantum cryptography and quantum random number generation [22].…”

Impact of photon addition and subtraction on nonclassical and phase properties of a displaced Fock state

“…The negative value of the Glauber-Sudarshan P function characterizes nonclassicality of an arbitrary state [2,3]. As P function is not directly measurable in experiments, many witnesses of nonclassicality have been proposed, such as, negative values of Wigner function [74,75], zeroes of Q function [76,77], several moments-based criteria [16,78]. An infinite set of such moments-based criteria of nonclassicality is equivalent to P function in terms of necessary and sufficient conditions to detect nonclassicality [79].…”

“…In fact, in the recent past, various exciting applications of nonclassicality ranging from satellite based quantum key distribution (QKD) [7,8] to the detection of gravitational wave in LIGO [9,10], have been reported, and those have helped to establish that quantum supremacy cannot be established without the use of nonclassical states [1]. Nonclassical states, in general, can be created using various types of physical resources (e.g., PT symmetric systems [11,12], quantum walk [13][14][15], atom-optical interactions [16,17], nonlinear optical couplers [18,19], nonlinear optical processes [20,21], Bose-Einstein condensate [22]). We are particularly interested in the realizations based on photonics, where nonclassical states are generated by using linear and nonlinear optical components, including mirrors, beam splitters, detectors, wave plates, nonlinear crystals, pentaprism, beam displacer and retroreflectors [23].…”

Entropic Uncertainty in Neutrino and Meson Systems

“…Some authors explored the quantum-memory-assisted entropic uncertainty in spin chain systems. Naikoo et al [25] investigated temporal quantum correlations in decohering B and K meson systems. Banerjee et al and Alok et al [23,24] studied the quantum correlation in meson system and neutrino system.…”

“…Banerjee et al and Alok et al [23,24] studied the quantum correlation in meson system and neutrino system. Naikoo et al [25] investigated temporal quantum correlations in decohering B and K meson systems. Dixita et al [26] discussed the coherence and mixedness in meson and neutrino systems.…”