By Hélène Bouchiat, Yuval Gefen, Sophie Guéron Engineering Diploma 1993D.E.A. de Physique des Solides 1994Ph.D. Université Paris VI 1997, Gilles Montambaux Ph.D. Thesis 1985, Jean Dalibard Ph.D.
The advancements of nanofabrication long ago years have enabled the layout of digital structures that convey incredible signatures of quantum coherence. Nanofabricated quantum wires and dots containing a small variety of electrons are perfect experimental playgrounds for probing electron-electron interactions and their interaction with disease. happening to even smaller scales, molecules equivalent to carbon nanotubes, fullerenes or hydrogen molecules can now be inserted in nanocircuits. Measurements of shipping via a unmarried chain of atoms were played to boot. a lot growth has additionally been made within the layout and fabrication of superconducting and hybrid nanostructures, be they normal/superconductor or ferromagnetic/superconductor. Quantum coherence is then now not that of person digital states, yet really that of a superconducting wavefunction of a macroscopic variety of Cooper pairs condensed within the comparable quantum mechanical nation. past the learn of linear reaction regime, the physics of non-equilibrium shipping (including non-linear shipping, rectification of a excessive frequency electrical box in addition to shot noise) has bought a lot consciousness, with major experimental and theoretical insights. most of these amounts convey very particular signatures of the quantum nature of delivery, which can't be received from uncomplicated conductance measurements.
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Additional info for Nanophysics: Coherence and Transport
However, some non-perturbative features remain: for example, the spectral function exhibits a second peak away from the mass shell corresponding to the emission of the zero-sound waves by fermions. A two-peak structure of the spectral function is reminiscent of the spin-charge separation, although we do not really have a spin-charge separation here: in contrast to the 1D case, the spin-density collective mode lies within the continuum and is damped by the particle-hole pairs. 3. 1. Hamiltonian, anomalous commutators, and conservation laws In the Tomonaga-Luttinger model , one considers a system of 1D spin1/2 fermions with a linearized dispersion.
Parity oscillations in atomic chains 3. 1. 2. Comparison to experimental results 4. 1. 2. Dynamical Coulomb blockade 5. Single-molecule junctions 6. Concluding remarks References Course 9. Solid State Quantum Bit Circuits, by Daniel Estève and Denis Vion 1. Why solid state quantum bits? 1. 2. 3. 4. Electronic qubits 2. 1. 2. 3. 4. Flying qubits 3. 1. 1. 2. 3. 2. How to maintain quantum coherence? 1. 2. 3. 4. The optimal working point strategy 4. 1. 2. 1. 2. AC methods for QND readout 5. 1. 2. NMR-like control of a qubit 6.
8a does not have an additional factor of two as compared to Fig. 8c (but is still of opposite sign), so that the forward-scattering parts of these two diagrams cancel each other. As a result, there is no infrared catastrophe for spinless fermions. 2. 2D What we considered in the previous section sounds like an essentially 1D effect. However, a similar effect exists also in 2D (more generally, for 1 ≤ D ≤ 2). This emphasizes once again that the difference between D = 1 and D > 1 is not as dramatic as it seems.