Lecturers |
Seminar speakers |
Participants |
Preface |
Fundamental aspects of electron correlations and quantum transport in one-dimensional systems / Dmitrii L. MaslovCourse 1: |
Introduction / 1: |
Non-Fermi liquid features of Fermi liquids: 1D physics in higher dimensions / 2: |
Long-range effective interaction / 2.1: |
1D kinematics in higher dimensions / 2.2: |
Infrared catastrophe / 2.3: |
Dzyaloshinskii-Larkin solution of the Tomonaga-Luttinger model / 3: |
Hamiltonian, anomalous commutators, and conservation laws / 3.1: |
Reducible and irreducible vertices / 3.2: |
Ward identities / 3.3: |
Effective interaction / 3.4: |
Dyson equation for the Green's function / 3.5: |
Solution for the case g[subscript 2] = g[subscript 4] / 3.6: |
Physical properties / 3.7: |
Renormalization group for interacting fermions / 4: |
Single impurity in a 1D system: scattering theory for interacting fermions / 5: |
First-order interaction correction to the transmission coefficient / 5.1: |
Renormalization group / 5.2: |
Electrons with spins / 5.3: |
Comparison of bulk and edge tunneling exponents / 5.4: |
Bosonization solution / 6: |
Spinless fermions / 6.1: |
Fermions with spin / 6.2: |
Transport in quantum wires / 7: |
Conductivity and conductance / 7.1: |
Dissipation in a contactless measurement / 7.2: |
Conductance of a wire attached to reservoirs / 7.3: |
Spin component of the conductance / 7.4: |
Thermal conductance: Fabry-Perrot resonances of plasmons / 7.5: |
Polarization bubble for small q in arbitrary dimensionality / Appendix A: |
Polarization bubble in 1D / Appendix B: |
Small q / Appendix B.1: |
q near 2k[subscript F] / Appendix B.2: |
Some details of bosonization procedure / Appendix C: |
Anomalous commutators / Appendix C.1: |
Bosonic operators / Appendix C.2: |
Problem with backscattering / Appendix C.3: |
References |
Impurity in the Tomonaga-Luttinger model: A functional integral approach / I.V. Lerner ; I.V. YurkevichSeminar 1: |
Functional integral representation |
The effective action for the Tomonaga-Luttinger Model |
The bosonized action for free electrons |
Gauging out the interaction |
Tunnelling density of states near a single impurity |
Jacobian of the gauge transformation |
Novel phenomena in double layer two-dimensional electron systems / J.P. EisensteinCourse 2: |
Overview of physics in the quantum hall regime |
Basics |
Quantized hall effects |
Double layer systems |
Coulomb drag between parallel 2D electron gases |
Basic concept |
Experimental |
Elementary theory of Coulomb drag |
Comparison between theory and experiment |
Tunneling between parallel two-dimensional electron gases |
Ideal 2D-2D tunneling / 4.1: |
Lifetime broadening / 4.2: |
2D-2D tunneling in a perpendicular magnetic field / 4.3: |
Strongly-coupled bilayer 2D electron systems and excitonic superfluidity |
Quantum hall ferromagnetism |
Tunneling and interlayer phase coherence at v[subscript T] = 1 |
Excitonic superfluidity at v[subscript T] = 1 |
Detecting excitonic superfluidity / 5.5: |
Conclusions |
Many-body theory of non-equilibrium systems / Alex KamenevCourse 3: |
Motivation and outline / 1.1: |
Closed time contour / 1.2: |
Free boson systems |
Partition function |
Green functions |
Keldysh rotation |
Keldysh action and causality / 2.4: |
Free bosonic fields / 2.5: |
Collisions and kinetic equation |
Interactions |
Saddle point equations |
Dyson equation |
Self-energy |
Kinetic term |
Collision integral |
Particle in contact with an environment |
Quantum dissipative action |
Saddle-point equation |
Classical limit |
Langevin equations / 4.4: |
Martin-Siggia-Rose / 4.5: |
Thermal activation / 4.6: |
Fokker-Planck equation / 4.7: |
From Matsubara to Keldysh / 4.8: |
Dissipative chains and membranes / 4.9: |
Fermions |
Free fermion Keldysh action |
External fields and sources |
Tunneling current |
Kinetic equation / 5.6: |
Disordered fermionic systems |
Disorder averaging |
Non-linear [sigma]-model |
Usadel equation / 6.3: |
Fluctuations / 6.4: |
Spectral statistics / 6.5: |
Gaussian integration |
Single particle quantum mechanics |
Non-linear quantum coherence effects in driven mesoscopic systems / V.E. KravtsovCourse 4: |
Weak Anderson localization in disordered systems |
Drude approximation |
Beyond Drude approximation |
Weak localization correction |
Non-linear response to a time-dependent perturbation |
General structure of nonlinear response function |
Approximation of single photon absorption/emission |
Quantum rectification by a mesoscopic ring |
Diffusion in the energy space |
Quantum correction to absorption rate |
Weak dynamic localization and no-dephasing points |
Conclusion and open questions / 8: |
Noise in mesoscopic physics / T. MartinCourse 5: |
Poissonian noise |
The wave packet approach |
Generalization to the multi-channel case |
Scattering approach based on operator averages |
Average current |
Noise and noise correlations |
Zero frequency noise in a two terminal conductor |
Noise reduction in various systems |
Noise correlations at zero frequency |
General considerations |
Noise correlations in a Y-shaped structure |
Finite frequency noise |
Which correlator is measured? |
Noise measurement scenarios |
Finite frequency noise in point contacts |
Noise in normal metal-superconducting junctions |
Bogolubov transformation and Andreev current / 8.1: |
Noise in normal metal-superconductor junctions / 8.2: |
Noise in a single NS junction / 8.3: |
Hanbury-Brown and Twiss experiment with a superconducting source of electrons / 8.4: |
Noise and entanglement / 9: |
Filtering spin/energy in superconducting forks / 9.1: |
Tunneling approach to entanglement / 9.2: |
Bell inequalities with electrons / 9.3: |
Noise in Luttinger liquids / 10: |
Edge states in the fractional quantum Hall effect / 10.1: |
Transport between two quantum Hall edges / 10.2: |
Keldysh digest for tunneling / 10.3: |
Backscattering current / 10.4: |
Poissonian noise in the quantum Hall effect / 10.5: |
Effective charges in quantum wires / 10.6: |
Higher moments of noise / Bertrand Reulet11: |
The probability distribution P(i) |
A simple model for a tunnel junction |
Noise in Fourier space |
Consequences |
Effect of the environment |
Imperfect voltage bias |
Imperfect thermalization |
Principle of the experiment |
Possible methods |
Experimental setup |
Experimental results |
Third moment vs. voltage and temperature |
Effect of the detection bandwidth |
Perspectives |
Quantum regime |
Noise thermal impedance |
Conclusion |
Electron subgap transport in hybrid systems combining superconductors with normal or ferromagnetic metals / F.W.J. HekkingCourse 6: |
NS junctions in the clean limit |
Single particle tunnelling in a tunnel junction |
Bogoliubov-de Gennes equations |
Disordered NIS junctions |
Perturbation theory for NIS junction |
Example: quasi-one-dimensional diffusive wire connected to a superconductor |
Subgap noise of a superconductor-normal-metal tunnel interface |
Tunnelling in a three-terminal system containing ferromagnetic metals |
Co-tunnelling and crossed Andreev tunnelling rates |
Discussion |
Low-temperature transport through a quantum dot / Leonid I. Glazman ; Michael PustilnikCourse 7: |
Model of a lateral quantum dot system |
Thermally-activated conduction |
Onset of Coulomb blockade oscillations |
Coulomb blockade peaks at low temperature |
Activationless transport through a blockaded quantum dot |
Inelastic co-tunneling |
Elastic co-tunneling |
Kondo regime in transport through a quantum dot |
Effective low-energy Hamiltonian |
Linear response |
Weak coupling regime: T[subscript K double less-than sign] T [double less-than sign delta]E |
Strong coupling regime: T [double less-than sign] T[subscript K] |
Beyond linear response |
Splitting of the Kondo peak in a magnetic field |
Kondo effect in quantum dots with large spin / 5.7: |
Concluding remarks |
Transport through quantum point contacts / Yigal MeirSeminar 3: |
Spin-density-functional calculations |
The Anderson model |
Results |
Current noise |
Transport at the atomic scale: Atomic and molecular contacts / A. Levy Yeyati ; J.M. van RuitenbeekCourse 8: |
Parity oscillations in atomic chains |
Superconducting quantum point contacts |
The Hamiltonian approach |
Comparison to experimental results |
Environmental effects |
Classical phase diffusion |
Dynamical Coulomb blockade |
Single-molecule junctions |
Solid State Quantum Bit Circuits / Daniel Esteve ; Denis VionCourse 9: |
Why solid state quantum bits? |
From quantum mechanics to quantum machines |
Quantum processors based on qubits |
Atom and ion versus solid state qubits / 1.3: |
Electronic qubits / 1.4: |
Qubits in semiconductor structures |
Kane's proposal: nuclear spins of P impurities in silicon |
Electron spins in quantum dots |
Charge states in quantum dots |
Flying qubits |
Superconducting qubit circuits |
Josephson qubits |
How to maintain quantum coherence? |
The quantronium circuit |
Relaxation and dephasing in the quantronium |
Readout |
Coherent control of the qubit |
Ultrafast 'DC' pulses versus resonant microwave pulses |
NMR-like control of a qubit |
Probing qubit coherence |
Relaxation |
Decoherence during free evolution |
Decoherence during driven evolution |
Qubit coupling schemes |
Tunable versus fixed couplings |
A tunable coupling element for Josephson qubits |
Fixed coupling Hamiltonian |
Control of the interaction mediated by a fixed Hamiltonian |
Running a simple quantum algorithm |
Conclusions and perspectives |
Abstracts of seminars presented at the School |