Quantum beat phenomenon presence in coherent spin dynamics of spin-2 87^{87}Rb atoms in a deep optical lattice

Motivated by the recent experimental work (A. Widera, \textit{et al}, Phys. Rev. Lett. 95, 19045), we study the collisional spin dynamics of two spin-2 $^{87}$Rb atoms confined in a deep optical lattice. When the system is initialized as $|0,0>$, three different two-particle Zeeman states are involved in the time evolution due to the conservation of magnetization. For a large magnetic field $B>0.8$ Guass, the spin coherent dynamics reduces to a Rabi-like oscillation between the states $|0,0>$ and $$. However, under a small magnetic field, a general three-level coherent oscillation displays. In particular, around a critical magnetic field $B_{c}\simeq 0.48$ Guass, the probability in the Zeeman states $$ exhibits a novel quantum beat phenomenon, ready to be confirmed in future experiments.Comment: 5 pages, 5 figure

Anisotropic flow of Pb+Pb sNN\sqrt{s_{\rm NN}} = 5.02 TeV from A Multi-Phase Transport Model

Anisotropic flow is an important observable in the study of the Quark-Gluon Plasma that is expected to be formed in heavy-ion collisions. With a multiphase transport (AMPT) model we investigate the elliptic(\emph{v}_{2}), triangular(\emph{v}_{3}), and quadrangular(\emph{v}_{4}) flow of charged particles in Pb+Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV. Then We compare our flow results with the published ALICE flow results. We found our AMPT simulated results are consistent with ALICE experimental data

Low-Latency Heterogeneous Networks with Millimeter-Wave Communications

Heterogeneous network (HetNet) is a key enabler to largely boost network coverage and capacity in the forthcoming fifth-generation (5G) and beyond. To support the explosively growing mobile data volumes, wireless communications with millimeter-wave (mm-wave) radios have attracted massive attention, which is widely considered as a promising candidate in 5G HetNets. In this article, we give an overview on the end-to-end latency of HetNets with mm-wave communications. In general, it is rather challenging for formulating and optimizing the delay problem with buffers in mm-wave communications, since conventional graph-based network optimization techniques are not applicable when queues are considered. Toward this end, we develop an adaptive low-latency strategy, which uses cooperative networking to reduce the end-to-end latency. Then, we evaluate the performance of the introduced strategy. Results reveal the importance of proper cooperative networking in reducing the end-to-end latency. In addition, we have identified several challenges in future research for low-latency mm-wave HetNets.Comment: to appear in IEEE Communications Magazin

The Study of Ratio Algorithm for Radiographic Imaging with Cosmic-ray Muons

The paper[1] presented a novel muon radiography technique which exploits the multiple Coulomb scattering of these particles for nondestructive inspection without the use of artificial radiation. In this paper, a new kind algorithm named Ratio Algorithm was proposed for imaging with the test object. The experimentally produced cosmic-ray muons radiographs was reconstructed. The more important, the reconstruction was made using data from only 793 muons

Topological indexes in symmetry preserving dynamics

The quench dynamics of topological phases have received intensive investigations in recent years. In this work, we prove exactly that the topological invariants for both $\mathbb{Z}$ and $\mathbb{Z}_2$ indexes are independent of time in symmetry preserving dynamics. We first reach this conclusion by a direct relation between the time derivative of Berry connection and the Hamiltonian energy based on the time dependent Hellman-Feynman theorem, with which we show exactly that the topological indexes for systems without and with time reversal symmetry are unchanged during evolution. In contrast, the geometry phase without symmetry protection in a closed parameter space can change dramtically with time, as revealed from the parameterized Landau-Zener model. Then we interpret this result by showing that the time dependent wave function is essentially the eigenvector of an auxiliary Hamiltonian, which has exactly the same spectra and symmetries as the original Hamiltonian. For this reason, the adiabatic evolution between the original and auxiliary Hamiltonian will not lead to gap closing and reopening, thus the topological indexes are independent of time. This result has generality and can be applied to models with other symmetries and dimensions, and may even be applied to gapless phases. Finally, possible ways to outreach this rigorous result are discussed.Comment: 6 pages, 2 figure

Cavity-mediated oscillating and trapping dynamics in a two-component condensate

Cold atoms in cavity provides a new platform for exploring exotic many-body phases. Here we explore the dynamics of a two-component condensate coupled to a finesse cavity, in which the Raman coupling is mediated by pumping laser and cavity mode. In this model, the energy scale of cavity mode is several order of magnitude bigger than that in the condensate, thus the small fluctuations in the cavity field may have important consequence in the dynamics of condensate. Beyond the steady-state approximaton, we show the cavity can play two different roles to this dynamics. In the first case, it imprints a gauge potential to the dynamics of condensate, giving rise to zero and $\pi$ Josephson dynamics. Nevertheless, in the other case, it plays the role of non-reciprocial transportation between the two hyperfine states, in which the stability of the fixed points are tuned from elliptic to stable spiral for one of the trapped phase and unstable spiral for the other trapped phase, thus the oscillating dynamics will finally ceased. The transition between these dynamics can be controlled by the parameters of the cavity field and the driving field. Our results demonstrate an novel way to engineer the dynamics of condensate by tuning the stability of the fixed points.Comment: 6 pages, 4 figure

Gapped topological Fulde-Ferrell-Larkin-Ovchinnikov superfluids with artificial gauge potential and weak interaction

The topological superfluids with Majorana zero modes have not yet been realized in ultracold atoms with Rashba spin-orbit coupling. Here we show that these phases can be realized with an artificial gauge potential, which can be regarded as a site-dependent rotating Zeeman field. This potential breaks the inversion symmetry and plays the same role as Rashba spin-orbit coupling. In the inverted bands, this model can open a proper parameter regime for topological superfluids. Strikingly, we find that the interaction near the Fermi surface is dominated by the dispersion scattering in the same band, thus can realize topological phase with much weaker attractive interaction, as compared with the model with Rashba spin-orbit coupling. We find a large regime for the gapped topological Fulde-Ferrell-Larkin-Ovchinnikov superfluids and unveil the phase diagram with mean-field theory, which should be credible in the weak interaction regime. In regarding the negligible heating effect in realizing this potential in alkaline and rare-earth atoms, our model has the potential to be the first system to realize the long-sought topological FFLO phase and the associated Majorana zero modes.Comment: 6 pages, 4 figure

Anomalous isothermal compressibility in spin-orbit coupled degenerate Fermi gases

The spin-orbit coupling (SOC) in degenerate Fermi gases can fundamentally change the fate of $s$-wave superfluids with strong Zeeman field and give rise to topological superfluids and associated Majorana zero modes. It also dramatically changes the thermodynamic properties of the superfluids. Here we report the anomalous isothermal compressibility $\kappa_T$ in this superfluids with both SOC and Zeeman field. We formulate this quantity from the Gibbs-Duhem equation and show that the contribution of $\kappa_T$ comes from the explicit contribution of chemical potential and implicit contribution of order parameter. In the Bardeen-Cooper-Schrieffer (BCS) limit, this compressibility is determined by the density of state near the Fermi surface; while in the Bose Einstein condensate (BEC) regime it is determined by the scattering length. Between these two limits, we find that the anomalous peaks can only be found in the gapless Weyl phase regime. This anomalous behavior can be regarded as a remanent effect of phase separation. The similar physics can also be found in the lattice model away from half filling. These predictions can be measured from the anomalous response of sound velocity and fluctuation of carrier density.Comment: 6 pages, 5 figure

Fast and High-Fidelity Readout of Single Trapped-Ion Qubit via Machine Learning Methods

In this work, we introduce machine learning methods to implement readout of a single qubit on $^{171}\mathrm{Yb^{+}}$ trapped-ion system. Different machine learning methods including convolutional neural networks and fully-connected neural networks are compared with traditional methods in the tests. The results show that machine learning methods have higher fidelity, more robust readout results in relatively short time. To obtain a 99% readout fidelity, neural networks only take half of the detection time needed by traditional threshold or maximum likelihood methods. Furthermore, we implement the machine learning algorithms on hardware-based field-programmable gate arrays and an ARM processor. An average readout fidelity of 99.5% (with $10^5$ magnitude trials) within 171 $\mu$s is demonstrated on the embedded hardware system for $^{171}\mathrm{Yb^{+}}$ ion trap.Comment: Under submission at IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMEN

Topological phase, supercritical point and emergent phenomena in extended Z3\mathbb{Z}_3 parafermion chain

Topological orders and associated topological protected excitations satisfying non-Abelian statistics have been widely explored in various platforms. The $\mathbb{Z}_3$ parafermions are regarded as the most natural generation of the Majorana fermions to realize these topological orders. Here we investigate the topological phase and emergent $\mathbb{Z}_2$ spin phases in an extended parafermion chain. This model exhibits rich variety of phases, including not only topological ferromagnetic phase, which supports non-Abelian anyon excitation, but also spin-fluid, dimer and chiral phases from the emergent $\mathbb{Z}_2$ spin model. We generalize the measurement tools in $\mathbb{Z}_2$ spin models to fully characterize these phases in the extended parafermion model and map out the corresponding phase diagram. Surprisingly, we find that all the phase boundaries finally merge to a single supercritical point. In regarding of the rather generality of emergent phenomena in parafermion models, this approach opens a wide range of intriguing applications in investigating the exotic phases in other parafermion models.Comment: 6 pages, 4 figure