Quantum-optical phenomena in nanophysics

Prof. Dr. Florian Marquardt
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These lectures deal with the modern topic of quantum optical phenomena in nanophysics. During the past decade, a variety of solid state nanosystems have been realized which can be described using the concepts of quantum optics.

  1. Quantum-optical phenomena in nanophysics - 01: Introduction

    EPISODE 1 · VIDEO

    Quantum-optical phenomena in nanophysics - 01: Introduction

    From ensembles to individual quantum systems, artificial quantum systems in nanophysics, field-matter interaction is based on oscillators (field) and two-level systems (atoms) T1. Basics of the harmonic oscillator: ladder operators, coherent states, coupling two oscillators, rotating wave approximation.

    1h 27m
  2. Quantum-optical phenomena in nanophysics - 02: Basics of the two-level system

    EPISODE 2 · VIDEO

    Quantum-optical phenomena in nanophysics - 02: Basics of the two-level system

    Many coupled oscillators and normal modes, T2. Basics of the two-level system: Pauli matrices, Bloch vector, free precession, avoided crossing in the energy spectrum, time-dependent driving (Rabi-oscillations)

    1h 35m
  3. Quantum-optical phenomena in nanophysics - 03: The superconducting charge qubit

    EPISODE 3 · VIDEO

    Quantum-optical phenomena in nanophysics - 03: The superconducting charge qubit

    Quantum electrodynamics in superconducting circuits 2.1 Some basics about superconductivity: zero resistance, Meissner-Ochsenfeld effect, critical magnetic field, Cooper pairs, the BCS gap 2.2 The Cooper pair box: tunneling between two islands, the charging energy, the tunneling term, external control via a gate charge [erratum: near the end of the lecture, the arrow for the dipole moment of the Cooper pair box was drawn in the wrong direction. It should point from the negative to the positive charge, as always.]

    1h 28m
  4. Quantum-optical phenomena in nanophysics - 04: Classical waves in a transmission line

    EPISODE 4 · VIDEO

    Quantum-optical phenomena in nanophysics - 04: Classical waves in a transmission line

    (2.2 continued) Energy level spectrum of the Cooper pair box, approximation as a two-level system 2.3 The microwave transmission line resonator: Cavities (optical, 3D microwave), waveguides, transmission lines, discretized circuit description of a transmission line, LC oscillator, wave equation, passage to continuum limit.

    1h 27m
  5. Quantum-optical phenomena in nanophysics - 05: Quantized electromagnetic field in the transmission line

    EPISODE 5 · VIDEO

    Quantum-optical phenomena in nanophysics - 05: Quantized electromagnetic field in the transmission line

    (2.3 continued) Quantizing the transmission line with periodic boundary conditions. Quantizing the transmission line resonator. Coupling to a Cooper-pair box.

    1h 31m
  6. Quantum-optical phenomena in nanophysics - 06: Transmission line resonator

    EPISODE 6 · VIDEO

    Quantum-optical phenomena in nanophysics - 06: Transmission line resonator

    (2.3 continued) Quantizing the transmission line with periodic boundary conditions. Quantizing the transmission line resonator. Coupling to a Cooper-pair box.

    1h 24m
  7. Quantum-optical phenomena in nanophysics - 07: The Jaynes-Cummings model

    EPISODE 7 · VIDEO

    Quantum-optical phenomena in nanophysics - 07: The Jaynes-Cummings model

    2.4 The Jaynes-Cummings model - examples. T3. The Jaynes-Cummings model: solution. Level scheme. Resonant case.

    1h 26m
  8. Quantum-optical phenomena in nanophysics - 08: Jaynes-Cummings model spectroscopy and dispersive qubit readout

    EPISODE 8 · VIDEO

    Quantum-optical phenomena in nanophysics - 08: Jaynes-Cummings model spectroscopy and dispersive qubit readout

    Continued Jaynes-Cummings model. 2.5 Jaynes-Cummings model in circuit QED. Transmission spectroscopy and avoided crossing in the strong coupling regime. Dispersive regime for non-destructive qubit readout.

    1h 22m
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These lectures deal with the modern topic of quantum optical phenomena in nanophysics. During the past decade, a variety of solid state nanosystems have been realized which can be described using the concepts of quantum optics.

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