@article{798, abstract = {Nonreciprocal circuit elements form an integral part of modern measurement and communication systems. Mathematically they require breaking of time-reversal symmetry, typically achieved using magnetic materials and more recently using the quantum Hall effect, parametric permittivity modulation or Josephson nonlinearities. Here we demonstrate an on-chip magnetic-free circulator based on reservoir-engineered electromechanic interactions. Directional circulation is achieved with controlled phase-sensitive interference of six distinct electro-mechanical signal conversion paths. The presented circulator is compact, its silicon-on-insulator platform is compatible with both superconducting qubits and silicon photonics, and its noise performance is close to the quantum limit. With a high dynamic range, a tunable bandwidth of up to 30 MHz and an in situ reconfigurability as beam splitter or wavelength converter, it could pave the way for superconducting qubit processors with multiplexed on-chip signal processing and readout.}, author = {Barzanjeh, Shabir and Wulf, Matthias and Peruzzo, Matilda and Kalaee, Mahmoud and Dieterle, Paul and Painter, Oskar and Fink, Johannes M}, issn = {20411723}, journal = {Nature Communications}, number = {1}, publisher = {Nature Publishing Group}, title = {{Mechanical on chip microwave circulator}}, doi = {10.1038/s41467-017-01304-x}, volume = {8}, year = {2017}, } @inproceedings{791, abstract = {Consider the following random process: we are given n queues, into which elements of increasing labels are inserted uniformly at random. To remove an element, we pick two queues at random, and remove the element of lower label (higher priority) among the two. The cost of a removal is the rank of the label removed, among labels still present in any of the queues, that is, the distance from the optimal choice at each step. Variants of this strategy are prevalent in state-of-the-art concurrent priority queue implementations. Nonetheless, it is not known whether such implementations provide any rank guarantees, even in a sequential model. We answer this question, showing that this strategy provides surprisingly strong guarantees: Although the single-choice process, where we always insert and remove from a single randomly chosen queue, has degrading cost, going to infinity as we increase the number of steps, in the two choice process, the expected rank of a removed element is O(n) while the expected worst-case cost is O(n log n). These bounds are tight, and hold irrespective of the number of steps for which we run the process. The argument is based on a new technical connection between "heavily loaded" balls-into-bins processes and priority scheduling. Our analytic results inspire a new concurrent priority queue implementation, which improves upon the state of the art in terms of practical performance.}, author = {Alistarh, Dan-Adrian and Kopinsky, Justin and Li, Jerry and Nadiradze, Giorgi}, booktitle = {Proceedings of the ACM Symposium on Principles of Distributed Computing}, isbn = {978-145034992-5}, location = {Washington, WA, USA}, pages = {283 -- 292}, publisher = {ACM}, title = {{The power of choice in priority scheduling}}, doi = {10.1145/3087801.3087810}, volume = {Part F129314}, year = {2017}, } @article{792, abstract = {The chaotic dynamics of low-dimensional systems, such as Lorenz or Rössler flows, is guided by the infinity of periodic orbits embedded in their strange attractors. Whether this is also the case for the infinite-dimensional dynamics of Navier–Stokes equations has long been speculated, and is a topic of ongoing study. Periodic and relative periodic solutions have been shown to be involved in transitions to turbulence. Their relevance to turbulent dynamics – specifically, whether periodic orbits play the same role in high-dimensional nonlinear systems like the Navier–Stokes equations as they do in lower-dimensional systems – is the focus of the present investigation. We perform here a detailed study of pipe flow relative periodic orbits with energies and mean dissipations close to turbulent values. We outline several approaches to reduction of the translational symmetry of the system. We study pipe flow in a minimal computational cell at Re=2500, and report a library of invariant solutions found with the aid of the method of slices. Detailed study of the unstable manifolds of a sample of these solutions is consistent with the picture that relative periodic orbits are embedded in the chaotic saddle and that they guide the turbulent dynamics.}, author = {Budanur, Nazmi B and Short, Kimberly and Farazmand, Mohammad and Willis, Ashley and Cvitanović, Predrag}, issn = {00221120}, journal = {Journal of Fluid Mechanics}, pages = {274 -- 301}, publisher = {Cambridge University Press}, title = {{Relative periodic orbits form the backbone of turbulent pipe flow}}, doi = {10.1017/jfm.2017.699}, volume = {833}, year = {2017}, } @article{796, abstract = {We present the fabrication and characterization of an aluminum transmon qubit on a silicon-on-insulator substrate. Key to the qubit fabrication is the use of an anhydrous hydrofluoric vapor process which selectively removes the lossy silicon oxide buried underneath the silicon device layer. For a 5.6 GHz qubit measured dispersively by a 7.1 GHz resonator, we find T1 = 3.5 μs and T∗2 = 2.2 μs. This process in principle permits the co-fabrication of silicon photonic and mechanical elements, providing a route towards chip-scale integration of electro-opto-mechanical transducers for quantum networking of superconducting microwave quantum circuits. The additional processing steps are compatible with established fabrication techniques for aluminum transmon qubits on silicon.}, author = {Keller, Andrew J and Dieterle, Paul and Fang, Michael and Berger, Brett and Fink, Johannes M and Painter, Oskar}, issn = {00036951}, journal = {Applied Physics Letters}, number = {4}, publisher = {American Institute of Physics}, title = {{Al transmon qubits on silicon on insulator for quantum device integration}}, doi = {10.1063/1.4994661}, volume = {111}, year = {2017}, } @article{793, abstract = {Let P be a finite point set in the plane. A cordinary triangle in P is a subset of P consisting of three non-collinear points such that each of the three lines determined by the three points contains at most c points of P . Motivated by a question of Erdös, and answering a question of de Zeeuw, we prove that there exists a constant c > 0such that P contains a c-ordinary triangle, provided that P is not contained in the union of two lines. Furthermore, the number of c-ordinary triangles in P is Ω(| P |). }, author = {Fulek, Radoslav and Mojarrad, Hossein and Naszódi, Márton and Solymosi, József and Stich, Sebastian and Szedlák, May}, issn = {09257721}, journal = {Computational Geometry: Theory and Applications}, pages = {28 -- 31}, publisher = {Elsevier}, title = {{On the existence of ordinary triangles}}, doi = {10.1016/j.comgeo.2017.07.002}, volume = {66}, year = {2017}, } @article{794, abstract = {We show that c-planarity is solvable in quadratic time for flat clustered graphs with three clusters if the combinatorial embedding of the underlying graph is fixed. In simpler graph-theoretical terms our result can be viewed as follows. Given a graph G with the vertex set partitioned into three parts embedded on a 2-sphere, our algorithm decides if we can augment G by adding edges without creating an edge-crossing so that in the resulting spherical graph the vertices of each part induce a connected sub-graph. We proceed by a reduction to the problem of testing the existence of a perfect matching in planar bipartite graphs. We formulate our result in a slightly more general setting of cyclic clustered graphs, i.e., the simple graph obtained by contracting each cluster, where we disregard loops and multi-edges, is a cycle.}, author = {Fulek, Radoslav}, journal = {Computational Geometry: Theory and Applications}, pages = {1 -- 13}, publisher = {Elsevier}, title = {{C-planarity of embedded cyclic c-graphs}}, doi = {10.1016/j.comgeo.2017.06.016}, volume = {66}, year = {2017}, } @article{736, abstract = {The neurotransmitter receptor subtype, number, density, and distribution relative to the location of transmitter release sites are key determinants of signal transmission. AMPA-type ionotropic glutamate receptors (AMPARs) containing GluA3 and GluA4 subunits are prominently expressed in subsets of neurons capable of firing action potentials at high frequencies, such as auditory relay neurons. The auditory nerve (AN) forms glutamatergic synapses on two types of relay neurons, bushy cells (BCs) and fusiform cells (FCs) of the cochlear nucleus. AN-BC and AN-FC synapses have distinct kinetics; thus, we investigated whether the number, density, and localization of GluA3 and GluA4 subunits in these synapses are differentially organized using quantitative freeze-fracture replica immunogold labeling. We identify a positive correlation between the number of AMPARs and the size of AN-BC and AN-FC synapses. Both types of AN synapses have similar numbers of AMPARs; however, the AN-BC have a higher density of AMPARs than AN-FC synapses, because the AN-BC synapses are smaller. A higher number and density of GluA3 subunits are observed at AN-BC synapses, whereas a higher number and density of GluA4 subunits are observed at AN-FC synapses. The intrasynaptic distribution of immunogold labeling revealed that AMPAR subunits, particularly GluA3, are concentrated at the center of the AN-BC synapses. The central distribution of AMPARs is absent in GluA3-knockout mice, and gold particles are evenly distributed along the postsynaptic density. GluA4 gold labeling was homogenously distributed along both synapse types. Thus, GluA3 and GluA4 subunits are distributed at AN synapses in a target-cell-dependent manner.}, author = {Rubio, María and Matsui, Ko and Fukazawa, Yugo and Kamasawa, Naomi and Harada, Harumi and Itakura, Makoto and Molnár, Elek and Abe, Manabu and Sakimura, Kenji and Shigemoto, Ryuichi}, issn = {18632653}, journal = {Brain Structure and Function}, number = {8}, pages = {3375 -- 3393}, publisher = {Springer}, title = {{The number and distribution of AMPA receptor channels containing fast kinetic GluA3 and GluA4 subunits at auditory nerve synapses depend on the target cells}}, doi = {10.1007/s00429-017-1408-0}, volume = {222}, year = {2017}, } @article{740, abstract = {Developments in bioengineering and molecular biology have introduced a palette of genetically encoded probes for identification of specific cell populations in electron microscopy. These probes can be targeted to distinct cellular compartments, rendering them electron dense through a subsequent chemical reaction. These electron densities strongly increase the local contrast in samples prepared for electron microscopy, allowing three major advances in ultrastructural mapping of circuits: genetic identification of circuit components, targeted imaging of regions of interest and automated analysis of the tagged circuits. Together, the gains from these advances can decrease the time required for the analysis of targeted circuit motifs by over two orders of magnitude. These genetic encoded tags for electron microscopy promise to simplify the analysis of circuit motifs and become a central tool for structure‐function studies of synaptic connections in the brain. We review the current state‐of‐the‐art with an emphasis on connectomics, the quantitative analysis of neuronal structures and motifs.}, author = {Shigemoto, Ryuichi and Jösch, Maximilian A}, issn = {17597684}, journal = {WIREs Developmental Biology}, number = {6}, publisher = {Wiley-Blackwell}, title = {{The genetic encoded toolbox for electron microscopy and connectomics}}, doi = {10.1002/wdev.288}, volume = {6}, year = {2017}, } @article{741, abstract = {We prove that a system of N fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the fermions is larger than some critical m*. The value of m* is independent of N and turns out to be less than 1. This fact has important implications for the stability of the unitary Fermi gas. We also characterize the domain of the Hamiltonian of this model, and establish the validity of the Tan relations for all wave functions in the domain.}, author = {Moser, Thomas and Seiringer, Robert}, issn = {00103616}, journal = {Communications in Mathematical Physics}, number = {1}, pages = {329 -- 355}, publisher = {Springer}, title = {{Stability of a fermionic N+1 particle system with point interactions}}, doi = {10.1007/s00220-017-2980-0}, volume = {356}, year = {2017}, } @article{739, abstract = {We study the norm approximation to the Schrödinger dynamics of N bosons in with an interaction potential of the form . Assuming that in the initial state the particles outside of the condensate form a quasi-free state with finite kinetic energy, we show that in the large N limit, the fluctuations around the condensate can be effectively described using Bogoliubov approximation for all . The range of β is expected to be optimal for this large class of initial states.}, author = {Nam, Phan and Napiórkowski, Marcin M}, issn = {00217824}, journal = {Journal de Mathématiques Pures et Appliquées}, number = {5}, pages = {662 -- 688}, publisher = {Elsevier}, title = {{A note on the validity of Bogoliubov correction to mean field dynamics}}, doi = {10.1016/j.matpur.2017.05.013}, volume = {108}, year = {2017}, }