Keywords:
Quantum theory--Congresses.
;
Mesoscopic phenomena (Physics)--Congresses.
;
Mesoscopic phenomena (Physics).
;
Electronic books.
Description / Table of Contents:
This book is a snapshot of the vision shared by outstanding scientists on the key theoretical and experimental issues in Mesoscopic Physics. Quantum properties of electrons in solid state devices and transport in semiconducting and superconducting low-dimensional systems, are discussed, as well as the basis of quantum computing (entanglement, noise decoherence and read-out). Each chapter collects the material presented at a Varenna School course of last year, by leading experts in the field. The reader gets a flavor, how theorists and experimentalists are paving the way to the physical realization of solid state qubits, the basic units of the new logic and memory elements for quantum processing. He will be surprised in finding that mesoscopic solid state devices, which were invented just yesterday ( think of the Single Electron Transistor, or the Cooper Pair Box) are currently used as charge-sensing applications in the equipment of frontier research laboratories. These devices contribute as probing systems to produce evidence on still unsettled questions in topics like the metal-insulator transition in disordered two dimensional systems, quantum Hall conductance in heterostructures, or Kondo conductance in quantum dots.
Type of Medium:
Online Resource
Pages:
1 online resource (473 pages)
Edition:
1st ed.
ISBN:
9781614990079
Series Statement:
International School of Physics Enrico Fermi Series ; v.151
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=1640888
DDC:
530.12
Language:
English
Note:
Title Page -- Indice -- Preface -- Gruppo fotografico dei partecipanti al Corso -- RELAXATION MECHANISMS IN MESOSCOPIC SYSTEMS -- Interaction corrections in 2D disordered systems: From intermediate to low temperatures -- Introduction -- Most important results -- Single-valley semiconductors -- Two-valley semiconductors -- Words of caution -- Friedel oscillations as the source of the interaction corrections to transport coefficients -- Multiple-impurity scattering -- Magnetoresistance in parallel field -- Longitudinal conductivity: Perturbation theory -- Hartree-Fock considerations -- Soft modes -- Disorder averaging -- Charge channel -- Triplet channel -- Appendix -- Kinetic-equation approach -- Final form of the kinetic equation -- Longitudinal conductivity -- Hall coefficient -- Magnetoresistance in parallel field -- Energy and phase relaxation in mesoscopic metals -- Introduction -- Background -- Two surprises of 1997 -- A correlation between energy and phase relaxation -- Magnetic impurities - the signs -- Magnetic impurities - the tests -- Conclusions and outlook -- QUANTUM TRANSPORT AND ENTANGLEMENT IN DOTS -- The physics of artificial atoms -- Introduction -- Weak-coupling regime -- Kondo regime -- Fano regime -- Mesoscopic fluctuations in driven systems -- Introduction -- The Landauer conductance in the time domain -- The limit of high frequencies -- Conductance fluctuations for the noise and harmonic ac pumping -- Conductance fluctuations for an almost periodic ac field and statistics of zeros of the dephasing functions -- Effect of commensurability in the frequency domain -- Computational approaches for electronic transport in molecular devices -- Introduction -- Landauer formalism -- Master equation for the electronic density matrix -- Effective single-particle approximation.
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Application to a 1D tunneling system: the current continuity problem -- Master equation and charge continuity -- 1D tunneling revisited, conclusions -- Dynamics of entanglement between quantum-dot spin-qubits -- Introduction -- Quantum entanglement between distinguishable parties -- Quantum entanglement with electron spins in quantum-dots -- General remarks -- Decoherence properties -- Modeling of the double-quantum-dot system -- Quantum correlations between indistinguishable particles -- Dynamics of entanglement in quantum gate operations -- Conclusions -- QUANTUM COHERENCE IN JOSEPHSON DEVICES -- Josephson qubits in charge and phase domains -- Superconducting qubits -- Charge qubit -- Device -- Qubit control -- Multi-pulse experiment -- Coexistence of charge and phase oscillation -- Summary -- Decoherence in Josephson qubits -- Introduction -- Simple estimates of decoherence -- Master equation -- Pure dephasing -- Model for circuit fluctuations -- 1/f noise -- Model for 1/f noise -- Qubit at the optimal point -- Pure dephasing -- Nearly incoherent BC dynamics -- Single BC -- 1/f noise in single-shot measurements -- Comparison with the oscillator environment -- Repeated measurements and inhomogeneuos broadening -- Charge echo -- Conclusions -- Appendix A. Linear quantum noise -- Appendix B. Dephasing due to classical stochastic fluctuations -- Algebraic strategies to defeat decoherence in quantum information processing: A survey -- Quantum computation, decoherence -- Error-avoiding codes, universality -- Symmetrization and computation within error-avoiding codes -- Josephson junctions: Effects of non-linearity in quantum physics -- Josephson junctions: Quantum dynamical algebra -- Josephson junctions: The phase-number problem -- ELECTRON INTERACTIONS IN QUANTUM WIRES -- Microscopic structure of the metal-insulator transition in two dimensions.
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Electron transport in quantum wires -- Introduction -- The Tomonaga-Luttinger model -- The Tomonaga-Luttinger Hamiltonian -- Potential barriers -- Inhomogeneous interaction energy -- Charge and spin currents -- The effective action -- Dissipative kernels -- Charge and spin addition energies -- The spectral densities -- Current transport -- Conditions for linear and non-linear transport -- Quantum rates -- Results -- Linear conductance of an ideal quantum wire -- Linear conductance of the dot in the presence of inhomogeneity -- Non-linear transport spectra for homogeneous interaction -- The control of the spin -- Conclusion -- MODELS FOR ELECTRONS WITH INTERACTION AND DISORDER -- Nonlinear sigma model for normal and superconducting systems: A pedestrian approach -- Introduction -- From the TOE model to a functional integral -- Introducing Green's functions -- From Gaussian to functional integrals -- Green's function as a functional integral -- Fermions do it like bosons -- Averaging over disorder -- The NL sigma M functional -- Hubbard-Stratonovich decoupling -- Gradient expansion -- Mesoscopic fluctuations within the NL sigma M -- Coulomb and pairing interactions in the sigma model -- Hubbard-Stratonovich decoupling -- Ginzburg-Landau Functional -- Electronic glasses -- Introduction -- Basic description -- Elastic description -- Consequences for pure system -- Disorder -- Basic description and preconceived ideas -- Relevance of disorder and basic length scales -- Conventional wisdom and dynamics -- Methods -- Variational method -- Functional renormalization group -- Bragg glass and disordered Wigner crystal -- Elastic model and experiments -- Defects -- Further steps and unsolved questions -- Enhancement of superconductivity by strong correlations: A model study -- Introduction -- A model for alkali-doped fullerenes -- Dynamical mean-field results.
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Fermi-liquid theory of the model -- Conclusions -- Chiral anomaly, polarizability and field effect in carbon nanotubes -- Introduction -- Dirac fermions in 2D carbon -- Electrons in a nanotube -- Field effect -- Screening and chiral anomaly -- Energy anomaly for 1D dirac fermions -- Conclusions -- Interaction among particles with fractionalized quantum numbers in one-dimensional samples -- Introduction -- The Haldane-Shastry model of a one-dimensional antiferromagnet and its elementary excitations -- Ground state of H HS -- One- and two-spinon states of the Haldane-Shastry model -- Spinon dynamics in the Haldane-Shastry model -- The Kuramoto-Yokoyama model of a one-dimensional insulator and its elementary excitations -- One-holon and one-holon one-spinon states of the KY model -- One-spinon one-holon dynamics in the Kuramoto-Yokoyama model -- Physical consequences of the interaction between spinons and holons -- Conclusion -- Appendix A. Norms and probability enhancements -- Composite Fermions with spin at nu = 1/2 -- Introduction -- Introduction to Composite Fermion theory -- The Aharonov-Bohm effect -- Attaching fluxes to Fermions -- The mean-field approximation -- The fractional quantum Hall effect -- The Chern-Simons transformation with spin -- The propagator of the gauge field fluctuations -- The propagator of the Composite Fermions -- Solution of the Dyson equation -- The energy gap -- Conclusion -- Projected BCS wave functions for low-dimensional frustrated spin systems -- Spin-1 chains in a staggered magnetic field -- Introduction -- The Haldane chain in a staggered field -- Calculations of physical quantities -- Continuum in the spectrum of CsNiCl 3 -- Elenco dei partecipanti.
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