The generation of genuine quadripartite Einstein-Podolsky-Rosen steering in an optical superlattice.

Einstein-Podolsky-Rosen (EPR) steering is a quantum effect based on quantum entanglement and it is the key resource for building quantum networks because of its useful properties. Based on the criterion for genuine multipartite EPR steering, the genuine quadripartite EPR steering is confirmed and it can be generated by a spontaneous parametric down-conversion cascaded process with two sum-frequency generations in an optical superlattice. This occurs either below the oscillation threshold and without oscillation threshold. The influence of the parameters of cascaded nonlinear process on the quadripartite EPR steering among signal, idler, and two sum-frequency beams are also discussed. Choosing appropriate nonlinear parameters can achieve good quadripartite quantum steering. This scheme of the generation of genuine quadripartite EPR steering has potential applications in quantum communication and computing.

Quantum enhancement of a single quantum battery by repeated interactions with large spins.

A generalized collision model is developed to investigate coherent charging a single quantum battery by repeated interactions with many-atom large spins, where collective atom operators are adopted and the battery is modeled by a uniform energy ladder. For an initially empty battery, we derive analytical results of the average number of excitations and hence the charging power in the short-time limit. Our analytical results show that a faster charging and an increased amount of the power in the coherent protocol uniquely arise from the phase coherence of the atoms. Finally, we show that the charging power defined by the so-called ergotropy almost follows our analytical result, due to a nearly pure state of the battery in the short-time limit.

Genuine tripartite Einstein-Podolsky-Rosen steering in the cascaded nonlinear processes of third-harmonic generation.

Recently, Einstein-Podolski-Rosen (EPR) steering has important application in quantum information processing, and it has been received considerable attention because of its uniqueness. The properties of quantum steering among three output fields generated by cascaded nonlinear processes of quasi-phase-matching third-harmonic generation in an optical cavity are investigated. Based on the criteria for multipartite EPR steering which proposed by He and Reid [PRL, 111, 250403 (2013)], the genuine tripartite EPR steering among pump, second-harmonic, and third-harmonic is demonstrated. The parameters which affect the quantum property are also discussed.

Multi-outcome homodyne detection in a coherent-state light interferometer.

The Cramér-Rao bound plays a central role in both classical and quantum parameter estimation, but finding the observable and the resulting inversion estimator that saturates this bound remains an open issue for general multi-outcome measurements. Here we consider multi-outcome homodyne detection in a coherent-light Mach-Zehnder interferometer and construct a family of inversion estimators that almost saturate the Cramér-Rao bound over the whole range of phase interval. This provides a clue on constructing optimal inversion estimators for phase estimation and other parameter estimation in any multi-outcome measurement.

High-precision evaluation of Wigner's d matrix by exact diagonalization.

The precise calculations of Wigner's d matrix are important in various research fields. Due to the presence of large numbers, direct calculations of the matrix using Wigner's formula suffer from a loss of precision. We present a simple method to avoid this problem by expanding the d matrix into a complex Fourier series and calculate the Fourier coefficients by exactly diagonalizing the angular momentum operator J(y) in the eigenbasis of J(z). This method allows us to compute the d matrix and its various derivatives for spins up to a few thousand. The precision of the d matrix from our method is about 10(-14) for spins up to 100.

Spin squeezing: transforming one-axis twisting into two-axis twisting.

Squeezed spin states possess unique quantum correlation or entanglement and are significantly promising for advancing quantum information processing and quantum metrology. In recent back-to-back publications [C. Gross et al., Nature (London) 464, 1165 (2010) and Max F. Riedel et al., Nature (London) 464, 1170 (2010)], reduced spin fluctuations are observed leading to spin squeezing at -8.2 and -2.5 dB, respectively, in two-component atomic condensates exhibiting one-axis-twisting interactions. The noise reduction limit for the one-axis twisting scales as ∝1/N(2/3), which for a condensate with N∼10(3) atoms is about 100 times below the standard quantum limit. We present a scheme using repeated Rabi pulses capable of transforming the one-axis-twisting spin squeezing into the two-axis-twisting type, leading to Heisenberg limited noise reduction ∝1/N or an extra tenfold improvement for N∼10(3).

Visceral noxious stimulation induced expression of Fos protein in medullary catecholaminergic neurons projecting to nucleus accumbens in the rat: a study with triple labeling method of HRP tracing combined with Fos and TH immunohistochemistry.

Horseradish peroxidase (HRP) was stereotaxically injected into the nucleus accumbens (Acb), and visceral noxious stimulation given by injecting formalin into the stomach. Sections of the medulla were subjected to HRP reaction combined with immunohistochemical reactions for Fos protein (ABC method) and tyrosine hydroxylase (TH, PAP method). The catecholaminergic neurons of the medulla (including vagal complex, ventrolateral medulla and reticular formation between them) which expressed Fos protein and projected to Acb were studied. The results showed that HRP retrogradely labeled cells were seen in the medulla bilaterally with apparent ipsilateral predominance and TH-LI and Fos-LI single labeled cells were bilaterally distributed; HRP/TH,TH/Fos double labeled neurons were more numerous than HRP/Fos double-labeled neurons. HRP/TH/Fos triple-labeled neurons were small in number and were mainly distributed in the nucleus tractus solitarii (nTS) and ventrolateral medulla (VLM), but only a few labeled cells were located in RF between nTS and VLM. It is concluded that TH-LI neurons in the medulla projected to Acb and some of them expressed Fos protein after noxious stimulation of the stomach.