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A blueprint for building a quantum computer
A blueprint for building a quantum computer

... rent classical capabilities, for certain systems designed to solve certain problems. As we begin to design larger quantum computers, it must be recognized that large systems are not simply larger versions of small systems. The conceptual stack of subfields that must all contribute to a scalable, rea ...
Disorder-induced order with ultra-cold atoms
Disorder-induced order with ultra-cold atoms

... consider the full microscopic description of a system, it is often enough to resort to a simplified thermodynamic picture involving only temperature, pressure and some material constants. As it turns out, however, the classical description does not cover ultra-cold phenomena, like superconductivity, ...
One-dimensional Mott localization of quantum vortices in Josephson-junction arrays
One-dimensional Mott localization of quantum vortices in Josephson-junction arrays

Transport Properties of Interacting Edge Modes in 2D Topological
Transport Properties of Interacting Edge Modes in 2D Topological

... materials, which are insulating in the bulk, but support gapless modes on the boundary. The presence of time-reversal symmetry in these systems implies a special structure of the edge modes, where spin-up and spin-down particles counterpropagate. Such edge modes are called helical. The net charge Ha ...
Characterizing the Performance Effect of Trials and Rotations in
Characterizing the Performance Effect of Trials and Rotations in

feasibility study
feasibility study

... temperature (-273C) was far removed from the technical possibilities of that century, so it seemed as if the problem was solved. In the 20th century, both theory and experiment have shown that there is a non-thermal radiation in the vacuum that persists even if the temperature could be lowered to ab ...
Kitaev - Anyons
Kitaev - Anyons

... a stability consideration requires that u be a rational multiple of 2p.) Of course, the real question is whether such particles exist in nature or can be built somehow, but we will follow the historic path, approaching the problem from the mathematical end. The study of anyons was initiated by Wilcz ...
Untitled - Det Galaktiske Parti
Untitled - Det Galaktiske Parti

A Mathematical Characterization of the Physical Structure of Observers
A Mathematical Characterization of the Physical Structure of Observers

GlueX Photon Beam Preparation
GlueX Photon Beam Preparation

High-order harmonic generation processes in
High-order harmonic generation processes in

Nonlinear electron acceleration by oblique whistler waves - HAL-Insu
Nonlinear electron acceleration by oblique whistler waves - HAL-Insu

Modernizing Quantum Annealing using Local Searches
Modernizing Quantum Annealing using Local Searches

test 3 practice
test 3 practice

... ____ 36. What energy must be added or given off in a reaction where two hydrogen atoms and two neutrons are combined to form a helium atom? (Atomic masses for each: hydrogen, 1.007 825 u; neutron, 1.008 665 u; helium, 4.002 602 u; also, 1 u = 931.5 MeV/c2) a. 20.7 MeV added b. 20.7 MeV given off c. ...
Widening the Axion Window via Kinetic and Stückelberg Mixings
Widening the Axion Window via Kinetic and Stückelberg Mixings

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cowan_beijing10_2

Momentum and Energy of a Mass Consisting of
Momentum and Energy of a Mass Consisting of

Decoherence and the Transition from Quantum to Classical
Decoherence and the Transition from Quantum to Classical

... If macroscopic systems cannot be always safely placed on the classical side of the boundary, then might there be no boundary at all? The Many Worlds Interpretation (or more accurately, the Many Universes Interpretation), developed by Hugh Everett III with encouragement from John Archibald Wheeler in ...
Quantum one-time programs
Quantum one-time programs

... alone, as any classical software can be re-run. Thus, any hope of achieving any one-time property must necessarily rely on an additional assumptions such as secure hardware or quantum mechanics: computational assumptions alone do not suffice. Classically, it has been shown [1,2,3] how to construct a ...
Pseudoholomorphic Curves and Mirror Symmetry
Pseudoholomorphic Curves and Mirror Symmetry

Far-from-equilibrium dynamics of ultra
Far-from-equilibrium dynamics of ultra

... value problems is the closed-time-path (CTP) formalism developed by Schwinger [40], Bakshi and Mahanthappa [41, 42, 43], and Keldysh [44]. In this formalism, the initial conditions are specified by a density matrix that can be far from equilibrium. And the time evolution is governed by causal equati ...
Interplay of driving, nonlinearity and dissipation in nanoscale and ultracold atom systems
Interplay of driving, nonlinearity and dissipation in nanoscale and ultracold atom systems

... dimensionality, (ii) the statistics of its constituent particles, (iii) the strength of the particle-particle interactions and (iv) the degree of disorder of the system: (i) Not all condensed matter systems are embedded in the ordinary threedimensional space. Reduced dimensionality arises in a latti ...
Full paper
Full paper

Phase diagram of ultrathin ferromagnetic films with perpendicular
Phase diagram of ultrathin ferromagnetic films with perpendicular

The Complete Idiot``s Guide to String Theory
The Complete Idiot``s Guide to String Theory

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Renormalization



In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.
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