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Deterministic entanglement swapping in a superconducting circuit [article]

Wen Ning, Xin-Jie Huang, Pei-Rong Han, Hekang Li, Hui Deng, Zhen-Biao Yang, Zhi-Rong Zhong, Yan Xia, Kai Xu, Dongning Zheng, Shi-Biao Zheng
2019 arXiv   pre-print
Han 1 , Hekang Li 2,3 , Hui Deng 4,5 , Zhen-Biao Yang 1 , * Zhi-Rong Zhong 1 , Yan Xia 1 , Kai Xu 2,3 , † Dongning Zheng 2,3 , and Shi-Biao Zheng 1 ‡ 1.Fujian Key Laboratory of Quantum Information  ...  Synergetic Innovation Centre in Quantum Information and Quantum Physics, Supplementary material for "Deterministic entanglement swapping in a superconducting circuit" Wen Ning 1 , Xin-Jie Huang 1 , Pei-Rong  ... 
arXiv:1902.10959v1 fatcat:izgkcmzpxncqrazcpx6cqsgtmy

High expression of TMEM40 is associated with the malignant behavior and tumorigenesis in bladder cancer

Zhen-Fei Zhang, Han-Rong Zhang, Qing-Yan Zhang, Shu-Yu Lai, Yu-Zhen Feng, Yi Zhou, Si-Rong Zheng, Rong Shi, Jue-Yu Zhou
2018 Journal of Translational Medicine  
Bladder cancer (BCa) is one of the most common cancers in the urinary system among the world. Previous studies suggested that TMEM40 expression level was significantly associated with clinicopathological parameters including histological grade, clinical stage and pT status of bladder cancer. However, the molecular mechanism of TMEM40 in BCa remains poorly understood. Methods: Real-time quantitative RT-PCR (qRT-PCR) and western blot (WB) were used to examine the expression levels of TMEM40 in
more » ... tissues, paired non-cancer tissues and cell lines. A series of experiments, including CCK-8, wound healing, flow cytometry, transwell and EdU assays were performed to assess the effects of TMEM40 on cell proliferation, cell cycle and apoptosis, migration and invasion. In addition, tumor growth was evaluated in vivo using a xenogenous subcutaneously implant model. All statistical analyses were executed by using the SPSS 20.0 software. All experimental data from three independent experiments were analyzed by Student's t test and results were expressed as mean ± standard deviation. Results: In this study, we identified the role of TMEM40 in the tumorigenesis of bladder cancer and found that it was upregulated in bladder cancer tissues and cell lines, compared with their normal counterparts. The results demonstrated that effective silence of TMEM40 expression suppressed cell proliferation, blocked G1-to-S cell cycle transition, and inhibited cell migration and invasion in human bladder 5637 and EJ cell lines. Consistently, in vivo data showed that TMEM40 silencing could dramatically decreased tumor growth. Further study revealed that TMEM40 knockdown resulted in accumulation of p53 and p21 protein and decrease of c-MYC and cyclin D1 protein. Conclusion: These data suggest that TMEM40 represents a potential oncogene, which exert a crucial role in the proliferation and apoptosis via the p53 signaling pathway in BCa, thus probably serve as a novel candidate biomarker and a potential therapeutic target for patients with BCa.
doi:10.1186/s12967-017-1377-3 pmid:29351801 pmcid:PMC5775579 fatcat:mpvt3cb5yrfc7liixopsye3554

Freeform LED lens for uniform illumination

Yi Ding, Xu Liu, Zhen-rong Zheng, Pei-fu Gu
2008 Optics Express  
Light flux from LED must be redistributed to meet the needs of lighting in most cases, a new method is proposed for its secondary optic design. Based on refractive equation and energy conservation, a set of firstorder partial differential equations which represent the characters of LED source and desired illumination were presented. The freeform lens was constructed by solving these equations numerically. The numerical results showed that we can get a freeform lens for the illumination of
more » ... mity near to 90%, with considerable high computation speed. This method can shorten the designing time of the freeform lens with high accepted tolerance.
doi:10.1364/oe.16.012958 pmid:18711534 fatcat:ovfzht2hezatzh75tfaem2qc7i

Graph Representation Learning via Graphical Mutual Information Maximization [article]

Zhen Peng, Wenbing Huang, Minnan Luo, Qinghua Zheng, Yu Rong, Tingyang Xu, Junzhou Huang
2020 arXiv   pre-print
The richness in the content of various information networks such as social networks and communication networks provides the unprecedented potential for learning high-quality expressive representations without external supervision. This paper investigates how to preserve and extract the abundant information from graph-structured data into embedding space in an unsupervised manner. To this end, we propose a novel concept, Graphical Mutual Information (GMI), to measure the correlation between
more » ... graphs and high-level hidden representations. GMI generalizes the idea of conventional mutual information computations from vector space to the graph domain where measuring mutual information from two aspects of node features and topological structure is indispensable. GMI exhibits several benefits: First, it is invariant to the isomorphic transformation of input graphs---an inevitable constraint in many existing graph representation learning algorithms; Besides, it can be efficiently estimated and maximized by current mutual information estimation methods such as MINE; Finally, our theoretical analysis confirms its correctness and rationality. With the aid of GMI, we develop an unsupervised learning model trained by maximizing GMI between the input and output of a graph neural encoder. Considerable experiments on transductive as well as inductive node classification and link prediction demonstrate that our method outperforms state-of-the-art unsupervised counterparts, and even sometimes exceeds the performance of supervised ones.
arXiv:2002.01169v1 fatcat:lburokr27jbdfowwgv2opovrd4

A Preliminary Evaluation of Limb Salvage Surgery for Osteosarcoma around Knee Joint

Xing Wu, Zheng-dong Cai, Zheng-rong Chen, Zhen-jun Yao, Guang-jian Zhang, Rossella Rota
2012 PLoS ONE  
Objective: To evaluate the effectiveness and drawbacks of diversified procedures of limb salvage surgery (LSS), providing a reference of rational surgical criterion of LSS. Methods: Fifty eight patients with stage IIB extremity osteosarcoma around knee joint area between 1992 and 2002 were studied retrospectively. Among them, 43 patients were treated by LSS followed by reconstruction. Reconstruction approaches included re-implantation of irradiation-devitalized tumor bone (n = 12),
more » ... evitalized tumor bone (n = 8), prosthetic replacement (n = 11), allograft transplantation (n = 8) and vascularized fibula autograft implantation (n = 4). Amputations were performed in 15 patients. Patients were followed up for 6-16 years. Results: There were no significant difference between LSS and amputation groups regarding disease free survival and local recurrence rates. The actuarial 5-year continuous disease free survival and local recurrence rate were 30.0% and 25.0% in patients of devitalized LSS group, whereas those were 56.5% and 8.7% in patients of non-devitalized reconstruction group. The complication rate was significantly higher in LSS group compared to amputation group (P = 0.003). Conclusion: LSS with non-devitalized procedures is the optimal treatment for osteosarcoma around knee joint area. Prosthesis implantation is the preferred option for bone reconstruction following LSS. Prevention and treatment of postoperative complications should be paid more attention to get good long-term outcomes of surgery.
doi:10.1371/journal.pone.0033492 pmid:22457768 pmcid:PMC3311641 fatcat:zuw2x7uxg5b27fu67ingi6rl7e

Halobacterium litoreum sp. nov., isolated from a marine solar saltern

Zhen-Zhen Lü, Yang Li, Yao Zhou, Heng-Lin Cui, Zheng-Rong Li
2017 International Journal of Systematic and Evolutionary Microbiology  
Halophilic archaeal strain ZS-54-S2 T was isolated from Zhoushan marine solar saltern, China. Cells were rod-shaped, Gramstain-negative and formed red-pigmented colonies on an agar plate. Strain ZS-54-S2 T was able to grow at 20-50 C (optimum 35 C), at 1.7-4.8 M NaCl (optimum 3.9 M), at 0.005-1.0 M MgCl 2 (optimum 0.05 M) and at pH 5.0-9.5 (optimum pH 7.0). The cells lysed in distilled water and the minimal NaCl concentration to prevent cell lysis was found to be 5 % (w/v). The major polar
more » ... s of the strain were phosphatidic acid, phosphatidylglycerol, phosphatidylglycerol phosphate methyl ester, two glycolipids, which were chromatographically identical to sulfated galactosyl mannosyl galactofuranosyl glucosyl diether and galactosyl mannosyl glucosyl diether, and an unidentified glycolipid, which was chromatographically identical to one detected in Halobacterium salinarum ATCC 33171 T . The 16S rRNA gene and rpoB¢ gene of strain ZS-54-S2 T were phylogenetically related to the corresponding genes of Halobacterium noricense JCM 15102 T (97.5 % and 90.6 % relatedness, respectively), Halobacterium jilantaiense CGMCC 1.5337 T (96.9 and 91.2 %), Halobacterium rubrum CGMCC 1.12575 T (96.8 and 90.3 %) and Halobacterium salinarum CGMCC 1.1958 T (96.5 and 88.4 %). The DNA G+C content of strain ZS-54-S2 T was 66.7 mol%. The phenotypic, chemotaxonomic and phylogenetic properties suggested that strain ZS-54-S2 T (=CGMCC 1.12562 T =JCM 30038 T ) represents a new species of Halobacterium, for which the name Halobacterium litoreum sp. nov. is proposed.
doi:10.1099/ijsem.0.002259 pmid:28901903 fatcat:e2icknqpwreqddnpv47oul2dvm

Indole Alkaloids from the Leaves of Nauclea officinalis

Long Fan, Cheng-Hui Liao, Qiang-Rong Kang, Kai Zheng, Ying-Chun Jiang, Zhen-Dan He
2016 Molecules  
Three new indole alkaloids, named naucleamide G (1), and nauclealomide B and C (5 and 6), were isolated from the n-BuOH-soluble fraction of an EtOH extract of the leaves of Nauclea officinalis, together with three known alkaloids, paratunamide C (2), paratunamide D (3) and paratunamide A (4). The structures with absolute configurations of the new compounds were identified on the basis of 1D and 2D NMR, HRESIMS, acid hydrolysis and quantum chemical circular dichroism (CD) calculation. According
more » ... o the structures of isolated indole alkaloids, their plausible biosynthetic pathway was deduced. Molecules 2016, 21, 968 2 of 8 Figure 1. Structures of compounds 1-6 isolated from N. officinalis, as well as structure of nauclealomide A mentioned in the text. Results and Discussion Compound 1 showed a molecular formula of C20H22N2O3 based on the HRESIMS (m/z 339.1703 [M + H] + ; calculated for C20H23N2O3: m/z 339.1709). The UV spectrum of 1 showed absorption maxima at 211 and 290 nm. The IR spectrum exhibited absorptions at 3373 and 1636 cm −1 , which suggested the presence of amino and α, β-unsaturated carbonyl functional groups. The 1 H-NMR spectrum of 1 displayed four aromatic protons (δH 7.46 (1H, d, J = 8.0 Hz), 7.37 (1H, d, J = 8.0 Hz), 7.12 (1H, t, J = 8.0 Hz) and 7.00 (1H, t, J = 8.0 Hz)), three terminal vinyl protons (δH 6.39 (1H, ddd, J = 17.3, 10.4, 7.3 Hz), 5.28 (1H, d, J = 17.3 Hz) and 5.23 (1H, d, J = 10.4 Hz)) and one amino proton (δH 11. 19 (1H, s) ). The 13 C-NMR and DEPT spectra of 1 displayed 20 signals, including six methylenes, eight methines, one carbonyl, and five quaternary carbons, suggesting the presence of a monoterpene indole alkaloid. (δH 11.19) and C-7 (δC 108.7)/C-8 (δC 125.3)/C-2 (δC 133.8)/C-13 (δC 136.2), between H-9 (δH 7.46) and C-7 (δC 108.7)/C-13 (δC 136.2), between H-12 (δH 7.37) and C-8 (δC 125.3), between Ha-5 (δH 4.80) and C-3 (δC 80.9)/C-7 (δC 108.7), as well as between Ha-6 (δH 2.74)/Hb-6 (δH 2.61) and C-2 (δC 133.8) revealed the presence of a tetrahydro-β-carboline ring. In addition, the correlations between Ha-5 (δH 4.80) and C-22 (δC 170.6), between Ha-14 (δH 2.89) and C-2 (δC 133.8), between Ha-21 (δH 3.66)/Hb-21 (δH 3.59)/Ha-14 (δH 2.89)/Hb-14 (δH 1.72)/H-15 (δH 2.33) and C-3 (δC 80.9), as well as between H-15 (δH 2.33)/Ha-17 (δH 4.08)/Hb-17 (δH 3.65) and C-22 (δC 170.6) revealed the presence of ring D, which was fused to the tetrahydro-β-carboline ring and ring E (Figure 2 ).
doi:10.3390/molecules21080968 pmid:27455233 fatcat:vzsj2hu3xfhkhkrwm3wdgpavvq

Function and Mechanism of RGD in Bone and Cartilage Tissue Engineering

Meng Yang, Zheng-Chu Zhang, Yan Liu, You-Rong Chen, Rong-Hui Deng, Zi-Ning Zhang, Jia-Kuo Yu, Fu-Zhen Yuan
2021 Frontiers in Bioengineering and Biotechnology  
Bone and cartilage injury is common, tissue engineered scaffolds are potential means to repair. Because most of the scaffold materials used in bone and cartilage tissue engineering are bio-inert, it is necessary to increase the cellular adhesion ability of during tissue engineering reconstruction. The Arginine - Glycine - Aspartic acid (Arg-Gly-Asp, RGD) peptide family is considered as a specific recognition site for the integrin receptors. Integrin receptors are key regulators of cell-cell and
more » ... cell-extracellular microenvironment communication. Therefore, the RGD polypeptide families are considered as suitable candidates for treatment of a variety of diseases and for the regeneration of various tissues and organs. Many scaffold material for tissue engineering and has been approved by US Food and Drug Administration (FDA) for human using. The application of RGD peptides in bone and cartilage tissue engineering was reported seldom. Only a few reviews have summarized the applications of RGD peptide with alloy, bone cements, and PCL in bone tissue engineering. Herein, we summarize the application progress of RGD in bone and cartilage tissue engineering, discuss the effects of structure, sequence, concentration, mechanical stimulation, physicochemical stimulation, and time stimulation of RGD peptide on cells differentiation, and introduce the mechanism of RGD peptide through integrin in the field of bone and cartilage tissue engineering.
doi:10.3389/fbioe.2021.773636 pmid:34976971 pmcid:PMC8714999 fatcat:vz26yfhbybefjbrzuedk7m6ln4

Recent Progress in Rapid Sintering of Nanosilver for Electronics Applications

Wei Liu, Rong An, Chunqing Wang, Zhen Zheng, Yanhong Tian, Ronglin Xu, Zhongtao Wang
2018 Micromachines  
Recently, nanosilver pastes have emerged as one of the most promising high temperature bonding materials for high frequency and high power applications, which provide an effective lead-free electronic packaging solution instead of high-lead and gold-based solders. Although nanosilver pastes can be sintered at lower temperature compared to bulk silver, applications of nanosilver pastes are limited by long-term sintering time (20-30 min), relative high sintering temperature (>250 • C), and
more » ... external pressure, which may damage chips and electronic components. Therefore, low temperature rapid sintering processes that can obtain excellent nanosilver joints are anticipated. In this regard, we present a review of recent progress in the rapid sintering of nanosilver pastes. Preparation of nanosilver particles and pastes, mechanisms of nanopastes sintering, and different rapid sintering processes are discussed. Emphasis is placed on the properties of sintered joints obtained by different sintering processes such as electric current assisted sintering, spark plasma sintering, and laser sintering, etc. Although the research on rapid sintering processes for nanosilver pastes has made a great breakthrough over the past few decades, investigations on mechanisms of rapid sintering, and the performance of joints fabricated by pastes with different compositions and morphologies are still far from enough.
doi:10.3390/mi9070346 pmid:30424279 pmcid:PMC6082269 fatcat:ycv26jaxojhsbfxcpcqexlhkx4

Andrographolide ameliorates d-galactosamine/lipopolysaccharide-induced acute liver injury by activating Nrf2 signaling pathway

Chen-wei Pan, Shou-xing Yang, Zhen-zhen Pan, Bo Zheng, Jian-zhang Wang, Guang-rong Lu, Zhan-xiong Xue, Chang-long Xu
2017 OncoTarget  
Andrographolide (ADH), a diterpenoid lactone extracted from Andrographis paniculata This study takes an attempt to reveal the protective effects and mechanism of ADH on lipopolysaccharide (LPS) and D-galactosamine (D-GalN)-induced acute liver injury in and IL-1
doi:10.18632/oncotarget.17149 pmid:28465482 pmcid:PMC5522263 fatcat:nmhcx763lrcobeh6wpbqkdnvme

Unbiased Estimation, Price Discovery, and Market Efficiency: Futures Prices and Spot Prices

Rong CHEN, Zhen-long ZHENG
2008 Systems Engineering - Theory & Practice  
One typical example is people keep using the fed funds futures rates for forecasting future spot fed- CHEN Rong, ZHENG Zhenlong/Systems Engineering -Theory & Practice, 2008, 28(8): 2-11 eral funds rates  ... 
doi:10.1016/s1874-8651(09)60031-4 fatcat:axiaqraz3bd5liknwtjcirzct4

Chlorofullerenes featuring triple sequentially fused pentagons

Yuan-Zhi Tan, Jia Li, Feng Zhu, Xiao Han, Wen-Sheng Jiang, Rong-Bin Huang, Zhiping Zheng, Zhuo-Zhen Qian, Rui-Ting Chen, Zhao-Jiang Liao, Su-Yuan Xie, Xin Lu (+1 others)
2010 Nature Chemistry  
The triple sequentially fused pentagons (TSFP) motif is one of the basic subunits that could be used for constructing fullerenes, but it violates the isolated pentagon rule (IPR) and has not been found in carbon cages to date. The properties of TSFP-incorporating fullerenes are thus poorly explored both theoretically and experimentally. Reported herein are four chlorinated derivatives of three different fullerene cages, all with the TSFP motif. X-ray crystallographic analyses indicate that the
more » ... olecular strain inherent to the pentagon adjacency of a TSFP is significantly relieved upon exohedral chlorination, leaving one of the four pentagon fusion sites unsaturated and rendering the present derivatives chiral. This unique reactivity, in stark contrast to that of previously reported non-IPR fullerenes containing double fused pentagons or triple directly fused pentagons, can be rationalized by density functional theory calculations, and are expected to stimulate further studies of these new members of the fullerene family, both theoretically and experimentally. F ullerenes are a family of cage-like carbon clusters typically consisting of hexagons and 12 pentagons 1 . Depending on the disposition of the pentagons within the carbon framework, fullerenes can be divided into two distinct types, one characterized by the isolated pentagons and the other by pentagon adjacency. Theoretical and experimental studies have long supported the stability of the first type, generally termed isolated pentagon rule 2 (IPR)satisfying fullerenes. In contrast, IPR-violating or non-IPR fullerenes are highly reactive, a direct consequence of the high strain and reduced aromaticity originating from the pentagon fusion 3,4 . Because of this, pristine IPR-violating fullerenes have remained elusive, despite extensive efforts having been made. These highly reactive species can nevertheless be stabilized, either by endohedral encapsulation of an electron-donating metal atom/cluster 5-7 or by sp 2 -to-sp 3 rehybridization via exohedral derivatization of the active sites associated with the fused pentagons [8] [9] [10] [11] [12] [13] [14] [15] . Note that the latter approach has also been successfully applied to the stabilization of C 58 (ref. 16) and C 62 (refs 17,18), which are non-classical fullerenes incorporating a heptagon and a tetragon, respectively. Two basic configurations of pentagon fusion have been revealed by the structurally characterized derivatives of non-IPR fullerenes, namely double fused pentagons (DFP, Fig. 1a ) 5,6,10,13-16 and triple directly fused pentagons (TDFP, Fig. 1b) 11, 12 . There exists, however, an alternative configuration when three pentagons are fused; instead of sharing a common carbon vertex as in the case of TDFP, the five-membered rings can be fused sequentially (Fig. 1c) . Despite computational predictions 19-23 , this triple sequentially fused pentagons (TSFP) motif has never been verified experimentally. Herein we report four novel fullerene derivatives, #540 C 54 Cl 8 (1), #864 C 56 Cl 12 (2), #4,169 C 66 Cl 6 (3) and #4,169 C 66 Cl 10 (4) obtained by chlorination of the corresponding non-IPR fullerenes #540 C 54 , #864 C 56 and #4,169 C 66 (the nomenclature is specified by a spiral algorithm to differentiate isomers 24 ). They are the first experimentally established fullerene derivatives featuring TSFP. More importantly, the sharing of this motif suggests its prevalence in the making of various fullerenes, and further research on this particular aspect of fullerene chemistry is expected to shed new light on the mechanism(s) responsible for their gas-phase formation. Furthermore, the unique reactivity towards exohedral derivatization (see below) suggests that many opportunities exist for both theoretical and experimental studies of this unique class of non-IPR fullerenes. Thus, the discovery of TSFP fullerenes portends what promises to be an exciting new direction in fullerene chemistry. Results Pure samples of #540 C 54 Cl 8 (1), #864 C 56 Cl 12 (2), #4,169 C 66 Cl 6 (3) and #4,169 C 66 Cl 10 (4) were obtained by multistage recyclic high-performance liquid chromatographic separation from a toluene extract of the fullerene-containing soot (Supplementary Information S1). The purified products are soluble in toluene, chloroform and carbon disulfide, solvents commonly used in fullerene research. The ultraviolet/visible/near-infrared spectra were acquired in toluene solutions (Supplementary Information S2). Single crystals of individual compounds suitable for X-ray diffraction studies were obtained by solvent evaporation of their carbon disulfide or toluene solutions. The structures of the four compounds have been established crystallographically (Supplementary Information S3) and are shown in Fig. 2 . Within the anticipated carbon-cage framework, there exist two sets of TSFP (in 1), one set of TSFP and two sets a b c Figure 1 | Basic fused pentagon configurations (with two to three pentagon subunits) in non-IPR fullerenes. a, Double fused pentagons (DFP). b, Triple directly fused pentagons (TDFP). c, Triple sequentially fused pentagons (TSFP).
doi:10.1038/nchem.549 pmid:21124506 fatcat:jvbrc5c5nzeofit6hn5urmqg5y

Structure Design of Twin-Spirals Scroll Compressor Based on 3C

Bin Peng, Li Zhang, Rong-zhen Zhao, Hong-sheng Zhang, Yu-qiao Zheng
2012 Journal of Software  
3C (CAD/CAM/CAE) method is put forward to optimize the structure of TSSC (twin-spirals scroll compressor) from conceptual design to finished products. The mathematical model and virtual model of TSSC are developed. A novel algorithm GA-HPSO combining with the advantages of GA (genetic algorithm), SA (simulated annealing) and PSO (particle swarm optimization) and NN (neural network) is applied to TSSC performance prediction. The swarm intelligence algorithm is used for structure optimization,
more » ... the final optimization design variables are gotten. CAE is performed to study the two key components of TSSC-orbiting and fixed scroll, which is useful for improving the quality and reliability of manufacturing and assembly accuracy at the later stages. The prototype of TSSC is manufactured based on 3C. The analysis results show that 3C method can well overcome the blindness and limitation of the traditional design. It offers a new method and idea for wide application of the scroll compressor.
doi:10.4304/jsw.7.9.2009-2017 fatcat:gkqe64vur5ck5jaec2ykirgviy

3-Chloro-4-hydroxyfuran-2(5H)-one

Na Zhang, Zhen-Yi Wu, Su-Yuan Xie, Rong-Bin Huang, Lan-Sun Zheng
2009 Acta Crystallographica Section E  
Wu, Su-Yuan Xie, Rong-Bin Huang and Lan-Sun Zheng S1.  ...  structure: SHELXL97 (Sheldrick, 2008) ; molecular graphics: SHELXL97; software used to prepare material for publication: SHELXL97 and publCIF (Westrip, 2009 3-Chloro-4-hydroxyfuran-2(5H)-one Na Zhang, Zhen-Yi  ... 
doi:10.1107/s1600536809028724 pmid:21583653 pmcid:PMC2977129 fatcat:s3o45bdrhbeybl66eeccuqiec4

Quantum phase transition of polaritonic excitations in a multi-excitation coupled array [article]

Li-Tuo Shen, Rong-Xin Chen, Huai-Zhi Wu, Zhen-Biao Yang, Elinor Irish, Shi-Biao Zheng
2014 arXiv   pre-print
We analyze the quantum phase transition-like behavior in the lowest energy state of a two-site coupled atom-cavity system, where each cavity contains one atom but the total excitation number is not limited to two. Utilizing the variance of the total excitation number to distinguish the insulator and superfluid states, and the variance of the atomic excitation number to identify the polaritonic characteristics of these states, we find that the total excitation number plays a significant role in
more » ... he lowest-energy-state phase transitions. In both the small hopping regime and the small atom-field interaction regime, we identify an interesting coexisting phase involving characteristics of both photonic superfluid and atomic insulator. For small hopping, we find that the signature of the photonic superfluid state becomes more pronounced with the increase in total excitation number, and that the boundaries of the various phases shift with respect to the case of N=2. In the limit of small atom-field interaction, the polaritonic superfluid region becomes broader as the total excitation number increases. We demonstrate that the variance of the total excitation number in a single site has a linear dependence on the total excitation number in the large-detuning limit.
arXiv:1402.6039v1 fatcat:uzvpw6tkhnbzpcfv6xfjeeizdy
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