Curves on torus layers and coding for continuous alphabet sources

In this paper we consider the problem of transmitting a continuous alphabet discrete-time source over an AWGN channel. The design of good curves for this purpose relies on geometrical properties of spherical codes and projections of $N$-dimensional lattices. We propose a constructive scheme based on a set of curves on the surface of a 2N-dimensional sphere and present comparisons with some previous works.Comment: 5 pages, 4 figures. Accepted for presentation at 2012 IEEE International Symposium on Information Theory (ISIT). 2th version: typos corrected. 3rd version: some typos corrected, a footnote added in Section III B, a comment added in the beggining of Section V and Theorem I adde

Characterization of 30 76^{76}Ge enriched Broad Energy Ge detectors for GERDA Phase II

The GERmanium Detector Array (GERDA) is a low background experiment located at the Laboratori Nazionali del Gran Sasso in Italy, which searches for neutrinoless double beta decay of $^{76}$Ge into $^{76}$Se+2e$^-$. GERDA has been conceived in two phases. Phase II, which started in December 2015, features several novelties including 30 new Ge detectors. These were manufactured according to the Broad Energy Germanium (BEGe) detector design that has a better background discrimination capability and energy resolution compared to formerly widely-used types. Prior to their installation, the new BEGe detectors were mounted in vacuum cryostats and characterized in detail in the HADES underground laboratory in Belgium. This paper describes the properties and the overall performance of these detectors during operation in vacuum. The characterization campaign provided not only direct input for GERDA Phase II data collection and analyses, but also allowed to study detector phenomena, detector correlations as well as to test the strength of pulse shape simulation codes.Comment: 29 pages, 18 figure

Accurate numerical simulations of inspiralling binary neutron stars and their comparison with effective-one-body analytical models

Binary neutron-star systems represent one of the most promising sources of gravitational waves. In order to be able to extract important information, notably about the equation of state of matter at nuclear density, it is necessary to have in hands an accurate analytical model of the expected waveforms. Following our recent work, we here analyze more in detail two general-relativistic simulations spanning about 20 gravitational-wave cycles of the inspiral of equal-mass binary neutron stars with different compactnesses, and compare them with a tidal extension of the effective-one-body (EOB) analytical model. The latter tidally extended EOB model is analytically complete up to the 1.5 post-Newtonian level, and contains an analytically undetermined parameter representing a higher-order amplification of tidal effects. We find that, by calibrating this single parameter, the EOB model can reproduce, within the numerical error, the two numerical waveforms essentially up to the merger. By contrast, analytical models (either EOB, or Taylor-T4) that do not incorporate such a higher-order amplification of tidal effects, build a dephasing with respect to the numerical waveforms of several radians.Comment: 25 pages, 17 figs. Matched published versio

Generalized Dicke model and gauge-invariant master equations for two atoms in ultrastrongly-coupled cavity quantum electrodynamics

We study a generalization of the well-known Dicke model, using two dissimilar atoms in the regime of ultrastrongly coupled cavity quantum electrodynamics. Our theory uses gauge invariant master equations, which yields consistent results in either of the standard multipolar and Coulomb gauges, including system-bath interactions for open cavity systems. We first show how a second atom can be treated as a sensor atom to measure the output spectrum from a single atom in the ultrastrong-coupling regime, and compare results with the quantum regression theorem, explaining when they can be different. We then focus on the case where the second atom is also ultrastrongly coupled to the cavity, but with different parameters from those of the first atom, which introduces complex coupling effects and additional resonances and spectral features. In particular, we show multiple resonances in the cavity spectra that are visible off-resonance, which cannot be seen when the second atom is on-resonance with the rest of the system. We also observe clear anti-crossing features particularly pronounced for when the second atom tunes through resonance.Comment: Revised Pape

Design of Energy-Efficient Equalization and Data Encoding/Decoding Techniques for Wireline Communication Systems

Ever increasing global internet data traffic has driven up the demand for cutting-edge high-speed wireline communication systems including SerDes PHY for various interfaces, interconnects, data centers servers and switches in optical systems. Operating wireline communications at higher data rates leads to signals suffering from greater channel loss and exponential increase in power consumption, mainly caused by a heavier amount of required equalization. In this dissertation, two distinct methodologies for designing SerDes transceivers are presented: 1) a pulse width modulated (PWM) time-domain feed forward equalizer (FFE) and linearity improvement technique for higher-order pulse amplitude modulation (PAM) including PAM-8, and 2) an inter-symbol interference (ISI)-resilient data encoding and decoding technique with Dicode encoding and error correction logic for low-bandwidth wireline channels, as an alternative strategy for communicating in an energy-efficient way on bandwidth-limited wireline channels without using conventional equalizers or filters. The first topic is a PAM-8 wireline transceiver with receiver-side pulse-width-modulated (PWM) or time-domain based feed forward equalization (FFE) technique. The receiver converts voltage-modulated signals or PAM signals to PWM signals and processes them using inverter based delay elements having rail to rail voltage swing. Time-to-voltage and voltage-to-time converters are designed to have non-linearity with opposite signs with the aim of achieving higher front-end linearity on the receiver. The proposed PAM-8 transceiver can operate from 12.0 Gb/s to 39.6 Gb/s and compensates 14 dB loss at 6.6 GHz with an efficiency of 8.66 pJ/bit in 65 nm CMOS. The second topic is an alternative strategy for communicating on bandwidth-limited wireline channels without using conventional equalizers or filters (FFE, DFE, and CTLE): Inter-symbol interference (ISI) resilient Dicode encoding and error correction for low-bandwidth wireline channels. The key observation is that Dicode-encoded data have no consecutive 1s or -1s. With this known information, the error correction logic at the receiver can correct multi-bit errors due to ISI. Implemented in 65 nm CMOS, the proposed digital encoding and decoding approach can achieve BER less than 10−12 while communicating on a channel with an insertion loss of 24.2 dB and 21.4 dB with 2.56 pJ/bit and 2.66 pJ/bit efficiency while operating at 13.6 Gb/s and 16 Gb/s, respectively

Three Dimensional Simulations of Vertical Magnetic Flux in the Immediate Vicinity of Black Holes

This article reports on three-dimensional (3-D) MHD simulations of non-rotating and rapidly rotating black holes and the adjacent black hole accretion disk magnetospheres. A particular emphasis is placed on the vertical magnetic flux that is advected inward from large radii and threads the equatorial plane near the event horizon. In both cases of non-rotating and rotating black holes, the existence of a significant vertical magnetic field in this region is like a switch that creates powerful jets. There are many similarities in the vertical flux dynamics in these two cases in spite of the tremendous enhancement of azimuthal twisting of the field lines and enhancement of the jet power because of an "ergospheric disk" in the Kerr metric. A 3-D approach is essential because two-dimensional axisymmetric flows are incapable of revealing the nature of vertical flux near a black hole. Poloidal field lines from the ergospheric accretion region have been visualized in 3-D and much of the article is devoted to a formal classification of the different manifestations of vertical flux in the Kerr case.Comment: To appear in ApJ. The referenced movies can be found in the electronic on-line journal or http://85.20.11.14/punsly/PHI/movies