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Transcript of Cavity Quantum Electrodynamics · PDF file Cavity Quantum Electrodynamics Filippo G. Cosi 29....

  • Cavity Quantum Electrodynamics

    Filippo G. Cosi

    29. Mai 2013

  • Motivation

    What is cavity Quantum Electrodynamics?

    I.Schuster, MPQ, Garching

  • Contents

    Introduction

    Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System

    Nonlinear spectroscopy of photons bound to one atom

    Photon blockade

    Summary

  • The Jaynes-Cummings Model

    · Atom + Cavity

    6

    ωa

    g

    e

    Atom

    `̀̀ 6

    6

    ωc

    ωc

    |0〉

    |1〉

    |2〉

    |n〉

    Cavity field |0〉

    |1,−〉−g |1,+〉+g

    |2,−〉− √

    2g

    |2,+〉+ √

    2g `̀̀ |n,−〉−

    √ ng

    |n,+〉+ √

    ng

    6

    6

    ω0

    ω0

    Atom + Cavity

  • The Jaynes-Cummings Model

    · Atom + Cavity

    6

    ωa

    g

    e

    Atom

    `̀̀ 6

    6

    ωc

    ωc

    |0〉

    |1〉

    |2〉

    |n〉

    Cavity field |0〉

    |1,−〉−g |1,+〉+g

    |2,−〉− √

    2g

    |2,+〉+ √

    2g `̀̀ |n,−〉−

    √ ng

    |n,+〉+ √

    ng

    6

    6

    ω0

    ω0

    Atom + Cavity

  • The Jaynes-Cummings Model

    · Atom + Cavity

    6

    ωa

    g

    e

    Atom

    `̀̀ 6

    6

    ωc

    ωc

    |0〉

    |1〉

    |2〉

    |n〉

    Cavity field

    |0〉

    |1,−〉−g |1,+〉+g

    |2,−〉− √

    2g

    |2,+〉+ √

    2g `̀̀ |n,−〉−

    √ ng

    |n,+〉+ √

    ng

    6

    6

    ω0

    ω0

    Atom + Cavity

  • The Jaynes-Cummings Model

    · Atom + Cavity

    6

    ωa

    g

    e

    Atom

    `̀̀ 6

    6

    ωc

    ωc

    |0〉

    |1〉

    |2〉

    |n〉

    Cavity field |0〉

    |1,−〉−g |1,+〉+g

    |2,−〉− √

    2g

    |2,+〉+ √

    2g `̀̀ |n,−〉−

    √ ng

    |n,+〉+ √

    ng

    6

    6

    ω0

    ω0

    Atom + Cavity

  • The Jaynes-Cummings Model

    · Atom + Cavity

    6

    ωa

    g

    e

    Atom

    `̀̀ 6

    6

    ωc

    ωc

    |0〉

    |1〉

    |2〉

    |n〉

    Cavity field |0〉

    |1,−〉−g |1,+〉+g

    |2,−〉− √

    2g

    |2,+〉+ √

    2g `̀̀ |n,−〉−

    √ ng

    |n,+〉+ √

    ng

    6

    6

    ω0

    ω0

    Atom + Cavity

  • The Jaynes-Cummings Model

    · Atom + Cavity

    ωn+1,± = nωc + 1 2 (ωa + ωc)

    ± 12 √

    4g2(n + 1) + (ωa − ωc)2

    6

    ωa

    e

    g

    Atom

    `̀̀ 6

    6

    ωc

    ωc

    |0〉

    |1〉

    |2〉

    |n〉

    Cavity field |0〉

    |1,−〉−g |1,+〉+g

    |2,−〉− √

    2g

    |2,+〉+ √

    2g `̀̀ |n,−〉−

    √ ng

    |n,+〉+ √

    ng

    6

    6

    ω0

    ω0

    Atom + Cavity

  • The Jaynes-Cummings Model

    · Atom + Cavity

    ωn+1,± = nωc + 1 2 (ωa + ωc)

    ± 12 √

    4g2(n + 1) + (ωa − ωc)2

    6

    ωa

    e

    g

    Atom

    `̀̀ 6

    6

    ωc

    ωc

    |0〉

    |1〉

    |2〉

    |n〉

    Cavity field |0〉

    |1,−〉−g |1,+〉+g

    |2,−〉− √

    2g

    |2,+〉+ √

    2g `̀̀ |n,−〉−

    √ ng

    |n,+〉+ √

    ng

    6

    6

    ω0

    ω0

    Atom + Cavity

  • Introduction

    Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System

    Nonlinear spectroscopy of photons bound to one atom

    Photon blockade

    Summary

  • Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System Experimental setup and Theory

    P.Maunz, MPQ, Garching

    I. Schuster, MPQ, Garching

  • Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System Experimental setup and Theory

    P.Maunz, MPQ, Garching

    I. Schuster, MPQ, Garching

  • Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System Experimental setup and Theory

    P.Maunz, MPQ, Garching

    I. Schuster, MPQ, Garching

  • Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System Results

    · Stark shift ⇒ asymmetric normal modes · P = 280nW no atom-cavity

    detuning

    P.Maunz, MPQ, Garching

    |1,+〉

    P.Maunz, MPQ, Garching

    -� 2g

  • Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System Results

    · Stark shift ⇒ asymmetric normal modes · P = 280nW no atom-cavity

    detuning

    P.Maunz, MPQ, Garching

    |1,+〉

    P.Maunz, MPQ, Garching

    -� 2g

  • Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System Results

    · Stark shift ⇒ asymmetric normal modes · P = 280nW no atom-cavity

    detuning

    P.Maunz, MPQ, Garching

    |1,+〉

    P.Maunz, MPQ, Garching

    -� 2g

  • Introduction

    Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System

    Nonlinear spectroscopy of photons bound to one atom

    Photon blockade

    Summary

  • Nonlinear spectroscopy of photons bound to one atom

    I. Schuster, MPQ, Garching

    · Idea: adressing higher excited states. · two exciting photons needed

    I. Schuster, MPQ, Garching

    · Two different detuning axis

  • Nonlinear spectroscopy of photons bound to one atom Results 1

    · |2,−〉 level small resonance in the transmition spectrum · red-dashed line: single photon transition

    I. Schuster, MPQ, Garching

  • Nonlinear spectroscopy of photons bound to one atom Results 2

    I. Schuster, MPQ, Garching

    · Only |2,−〉 and |3,−〉 levels · red-dashed line: single

    photon transition

    I. Schuster, MPQ, Garching

  • Introduction

    Normal-mode spectroscopy of a Single-Bound-Atom-Cavity System

    Nonlinear spectroscopy of photons bound to one atom

    Photon blockade

    Summary

  • Photon blockade in an optical cavity with one trapped atom Theory

    |0〉

    �� |1,+〉

    @@ |1,−〉

    � �

    |2,+〉

    A A |2,−〉

    6ωp

    6ωp

    6

    ω0

    6

    ω0

    ?g

    ?

    √ 2g

    Atom-cavity level diagram

    · Idea: using the |1,−〉 level

    · subpoissonian photon statistic · Photon blockade (anti-bunching)

    K. M. Birnbaum, California Institute of Technology, USA

  • Photon blockade in an optical cavity with one trapped atom Theory

    |0〉

    �� |1,+〉

    @@ |1,−〉

    � �

    |2,+〉

    A A |2,−〉

    6ωp

    6ωp

    6

    ω0

    6

    ω0

    ?g

    ?

    √ 2g

    Atom-cavity level diagram

    · Idea: using the |1,−〉 level · subpoissonian photon statistic · Photon blockade (anti-bunching)

    K. M. Birnbaum, California Institute of Technology, USA

  • Photon blockade in an optical cavity with one trapped atom Theory

    |0〉

    �� |1,+〉

    @@ |1,−〉

    � �

    |2,+〉

    A A |2,−〉

    6ωp

    6ωp

    6

    ω0

    6

    ω0

    ?g

    ?

    √ 2g

    Atom-cavity level diagram

    · Idea: using the |1,−〉 level · subpoissonian photon statistic · Photon blockade (anti-bunching)

    K. M. Birnbaum, California Institute of Technology, USA

  • Photon blockade in an optical cavity with one trapped atom Results

    K. M. Birnbaum, California Institute of Technology, USA

    · anti-bunching, g(2)(0) ' 0.13 · Photon-photon interaction · relaxation time: τ ' 45 ns.

  • Summary

    · Spectroscopy of the normal modes of a single atom in a cavity

    · Multi-photon nonlinear spectroscopy of an atom coupled to a cavity

    · Photon blockade with one single atom in an optical cavity

  • Summary

    · Spectroscopy of the normal modes of a single atom in a cavity

    · Multi-photon nonlinear spectroscopy of an atom coupled to a cavity

    · Photon blockade with one single atom in an optical cavity

  • Summary

    · Spectroscopy of the normal modes of a single atom in a cavity

    · Multi-photon nonlinear spectroscopy of an atom coupled to a cavity

    · Photon blockade with one single atom in an optical cavity

  • Summary

    · Spectroscopy of the normal modes of a single atom in a cavity

    · Multi-photon nonlinear spectroscopy of an atom coupled to a cavity

    · Photon blockade with one single atom in an optical cavity

  • Summary

    · Spectroscopy of the normal modes of a single atom in a cavity

    · Multi-photon nonlinear spectroscopy of an atom coupled to a cavity

    · Photon blockade with one single atom in an opti