"Exotic Quantum States in Circuit QED Systems"
Nov 1--2, 2012
Hogil Kim Memorial Building Room 512, POSTECH, Pohang, Korea
Recently, there have been strong activities in the field of quantum states of circuit QED system. Supposedly, the circuit QED system is one of the two most promising candidates for the solid-state based quantum information processing -- the other is the diamond NV center. At this workshop we will see why.
Lectures
Nation, Paul D. (Korea Univ)
The Superconducting Circuit Warm Up (Lecture Note)
Why superconducting circuits?
The quantized LC-oscillator.
The need for nonlinearities.
The Josephson effect.
The JJ as a lumped inductor.
Qubits: Charge, Flux, and Phase.
The dc-SQUID as a flux tunable inductor.
Coupling HO’s and Qubits: The Jaynes-Cumming model and nonlinearities.
Controlling the state of a HO with a qubit.
Strong coupling in circuit-QED.
Hybrid quantum systems with circuit-QED elements.
Recent experiments with circuit-QED
Ashhab, Sahel (RIKEN, Japan)
Cavity QED in the ultrastrong-coupling regime (Lecture Note)
Why do we study cavity QED in the ultrastrong coupling regime?
What theoretical tools and approximations can we use?
What interesting properties does this system have?
How can these interesting properties be observed in experiment?
A few ideas and experiments on preparing interesting states in a superconducting resonator coupled to a qubit (Lecture Note)
Extracting a Schrödinger-cat state in a cavity from a qubit- resonator entangled state.
Preparing Schrödinger-cat states with the help of dispersive frequency shifts (implemented recently by Yale group).
Preparing an arbitrary cavity state using the Law-Eberly protocol (implemented by Hofheinz et al., UCSB).
State manipulation via measurement (with some paradoxes).
Single-artificial-atom using a voltage-biased superconducting charge qubit (Lecture Note)
System and a rough description of lasing mechanism.
Simplified two-level model
Realistic three-level model
Using superconducting qubit circuits for quantum simulation (Lecture Note)
Johansson, Robert (RIKEN, Japan)
Dynamical Casimir effect in superconducting circuits (Lecture Note)
Frequency-tunable microwave resonators
Vacuum amplification and nonadiabatic photon creation
Dynamical Casimir effect in superconducting circuits
Review of experiments
QuTiP: Quantum Toolbox in Python with case studies in Circuit-QED (Lecture Note)
Introduction to QuTiP
Open quantum system simulations with master equations and Monte-Carlo methods
Case studies: numerical simulations of circuit-QED systems
Jaynes-Cummings-like models
Qubit gates
The Dicke model
Parametric amplifier
Correlation functions and nonclassicality tests
Schmidt, Sebastian (ETZ Zurich, Switzerland)
Single Cavity Physics (Lecture Note)
Jaynes-Cummings model
Photon blockade under coherent excitation
Photon blockade under incoherent excitation
Comparison to Coulomb blockade
Two-coupled cavity systems (Lecture Note)
Unconventional Photon blockade due to quantum interference
Self-trapping of photons
Large arrays: The Jaynes Cummings Hubbard model (Lecture Note)
Quasi-equilibrium: Superfluid-Mott insulator transition
Quench Dynamics
Non-equilibrium steady states
Semba, Kouichi (National Institute of Informatics, Japan)
Superconductivity and Josephson circuit QED
Essence of superconductivity revisited
Spontaneous symmetry breaking
Nambu-Goldstone mode & Anderson-Higgs Mechanism
Josephson quantum circuit as an artificial atom : qubit
Cavity-QED : From atomic system to Josephson circuit
Hybrid Quantum Systems
Superconducting qubit as a macroscopic quantum system
Merit of coupling to the atomic system
Appealing NV-diamond, not just by its color
How to prepare NV centers and the strong coupling ?
Exchange single energy quantum between two different macroscopic quantum systems
Summary & Prospects
====================================================================
Nov 1--2, 2012
Hogil Kim Memorial Building Room 512, POSTECH, Pohang, Korea
Recently, there have been strong activities in the field of quantum states of circuit QED system. Supposedly, the circuit QED system is one of the two most promising candidates for the solid-state based quantum information processing -- the other is the diamond NV center. At this workshop we will see why.
Lectures
Nation, Paul D. (Korea Univ)
The Superconducting Circuit Warm Up (Lecture Note)
Why superconducting circuits?
The quantized LC-oscillator.
The need for nonlinearities.
The Josephson effect.
The JJ as a lumped inductor.
Qubits: Charge, Flux, and Phase.
The dc-SQUID as a flux tunable inductor.
Coupling HO’s and Qubits: The Jaynes-Cumming model and nonlinearities.
Controlling the state of a HO with a qubit.
Strong coupling in circuit-QED.
Hybrid quantum systems with circuit-QED elements.
Recent experiments with circuit-QED
Ashhab, Sahel (RIKEN, Japan)
Cavity QED in the ultrastrong-coupling regime (Lecture Note)
Why do we study cavity QED in the ultrastrong coupling regime?
What theoretical tools and approximations can we use?
What interesting properties does this system have?
How can these interesting properties be observed in experiment?
A few ideas and experiments on preparing interesting states in a superconducting resonator coupled to a qubit (Lecture Note)
Extracting a Schrödinger-cat state in a cavity from a qubit- resonator entangled state.
Preparing Schrödinger-cat states with the help of dispersive frequency shifts (implemented recently by Yale group).
Preparing an arbitrary cavity state using the Law-Eberly protocol (implemented by Hofheinz et al., UCSB).
State manipulation via measurement (with some paradoxes).
Single-artificial-atom using a voltage-biased superconducting charge qubit (Lecture Note)
System and a rough description of lasing mechanism.
Simplified two-level model
Realistic three-level model
Using superconducting qubit circuits for quantum simulation (Lecture Note)
Johansson, Robert (RIKEN, Japan)
Dynamical Casimir effect in superconducting circuits (Lecture Note)
Frequency-tunable microwave resonators
Vacuum amplification and nonadiabatic photon creation
Dynamical Casimir effect in superconducting circuits
Review of experiments
QuTiP: Quantum Toolbox in Python with case studies in Circuit-QED (Lecture Note)
Introduction to QuTiP
Open quantum system simulations with master equations and Monte-Carlo methods
Case studies: numerical simulations of circuit-QED systems
Jaynes-Cummings-like models
Qubit gates
The Dicke model
Parametric amplifier
Correlation functions and nonclassicality tests
Schmidt, Sebastian (ETZ Zurich, Switzerland)
Single Cavity Physics (Lecture Note)
Jaynes-Cummings model
Photon blockade under coherent excitation
Photon blockade under incoherent excitation
Comparison to Coulomb blockade
Two-coupled cavity systems (Lecture Note)
Unconventional Photon blockade due to quantum interference
Self-trapping of photons
Large arrays: The Jaynes Cummings Hubbard model (Lecture Note)
Quasi-equilibrium: Superfluid-Mott insulator transition
Quench Dynamics
Non-equilibrium steady states
Semba, Kouichi (National Institute of Informatics, Japan)
Superconductivity and Josephson circuit QED
Essence of superconductivity revisited
Spontaneous symmetry breaking
Nambu-Goldstone mode & Anderson-Higgs Mechanism
Josephson quantum circuit as an artificial atom : qubit
Cavity-QED : From atomic system to Josephson circuit
Hybrid Quantum Systems
Superconducting qubit as a macroscopic quantum system
Merit of coupling to the atomic system
Appealing NV-diamond, not just by its color
How to prepare NV centers and the strong coupling ?
Exchange single energy quantum between two different macroscopic quantum systems
Summary & Prospects
====================================================================
