Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These

Phd by thesis

This paper reviews recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation. Strong correlations in fermionic gases are discussed in optical lattices or near-Feshbach resonances in the BCS-BEC crossover.

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Many-Body Physics with Ultracold Gases

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from this limit. Our analysis leads us to an equivalence between ordinary gauge fields and noncommutative gauge fields, which is realized by a change of variables that can be described explicitly. This change of variables is checked by comparing the ordinary Dirac-Born-Infeld theory with its noncommutative counterpart. We obtain a new perspective on noncommutative gauge theory on a torus, its T-duality, and Morita equivalence. We also discuss the D0/D4 system, the relation to M-theory in DLCQ, and a possible noncommutative version of the six-dimensional (2,0) theory.

https://iopscience.iop.org/article/10.1088/1126-6708/1999/09/032/pdf

String theory and noncommutative geometry

Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle excitations are neither bosons nor fermions, but are particles known as non-Abelian anyons, meaning that they obey non-Abelian braiding statistics. Quantum information is stored in states with multiple quasiparticles, which have a topological degeneracy. The unitary gate operations that are necessary for quantum computation are carried out by braiding quasiparticles and then measuring the multiquasiparticle states. The fault tolerance of a topological quantum computer arises from the nonlocal encoding of the quasiparticle states, which makes them immune to errors caused by local perturbations. To date, the only such topological states thought to have been found in nature are fractional quantum Hall states, most prominently the $\ensuremath{\nu}=5∕2$ state, although several other prospective candidates have been proposed in systems as disparate as ultracold atoms in optical lattices and thin-film superconductors. In this review article, current research in this field is described, focusing on the general theoretical concepts of non-Abelian statistics as it relates to topological quantum computation, on understanding non-Abelian quantum Hall states, on proposed experiments to detect non-Abelian anyons, and on proposed architectures for a topological quantum computer. Both the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the $\ensuremath{\nu}=5∕2$ fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.

Non-Abelian Anyons and Topological Quantum Computation

Anyons in an exactly solved model and beyond

Large scale physics of the quantum Hall fluid

In this paper the dynamics of a class of simple models (so called persistent models) including Nelson's model is studied These models describe conserved, non relativistic, scalar electrons interacting with neutral, scalar bosons Special attention is paid to the so called one particle problem: the existence of dressed one electron states – corresponding to an isolated one particle shell in the spectrum of the energy-momentum operator (H, P) – is established for the models with massive bosons and the ones with bosons of rest mass zero and an infrared cutoff in the interaction



In dieser Arbeit studieren wir die Dynamik einer Klasse einfacher (sog persistenter) Modelle, unter anderen diejenige des Modelles von Nelson [15]



Solche Modelle beschreiben Systeme von erhaltenen, nicht relativistischen, spinlosen Elektronen, die mit neutralen, skalaren Bosonen wechselwirken



Besonders sorgfaltig wird das Einteilchenproblem studiert: Fur die Modelle mit Bosonen positiver Ruhemasse und diejenigen mit Bosonen der Ruhemasse 0 und Infrarot-Cutoff im Wechselwirkungsoperator beweisen wir die Existenz physikalischer Einelektronen Zustande, oder, in anderen Worten, wir zeigen, das das gemeinsame Spektrum von Energie- und Impulsoperator eine isolierte Einteilchenschale hat

Existence of Dressed One Electron States in a Class of Persistent Models

Renormalization Group Analysis of Spectral Problems in Quantum Field Theory

Universality in quantum Hall systems

We study transport in a class of physical systems possessing two conserved chiral charges We describe a relation between universality of transport properties of such systems and the chiral anomaly We show that the nonvanishing of a current expectation value implies the presence of gapless modes, in analogy to the Goldstone theorem Our main tool is a new formula expressing currents in terms of anomalous commutators Universality of conductance arises as a natural consequence of the nonrenormalization of anomalies To illustrate our formalism we examine transport properties of a quantum wire in $1+1$ dimensions and of massless QED in a background magnetic field in $3+1$ dimensions

Jürg Fröhlich

Papers

Large scale physics of the quantum Hall fluid

Existence of Dressed One Electron States in a Class of Persistent Models

Renormalization Group Analysis of Spectral Problems in Quantum Field Theory

Universality in quantum Hall systems

Universality of Transport Properties in Equilibrium, the Goldstone Theorem, and Chiral Anomaly