INTERACTIONS BETWEEN SUPERCONDUCTING QUBITS MEDIATED BY TRAVELLING - - PowerPoint PPT Presentation

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INTERACTIONS BETWEEN SUPERCONDUCTING QUBITS MEDIATED BY TRAVELLING - - PowerPoint PPT Presentation

Oct 20, 2022 169 likes •1.17k views

INTERACTIONS BETWEEN SUPERCONDUCTING QUBITS MEDIATED BY TRAVELLING PHOTONS Kevin Lalumire 1 , B. C. Sanders 2 , A. F. van Loo 3 , A. Fedorov 3 , A. Wallraff 3 , and A. Blais 1 Phys. Rev. A 88 , 043806 Science, in press 1 Universit de

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SLIDE 1

INTERACTIONS BETWEEN SUPERCONDUCTING QUBITS MEDIATED BY TRAVELLING PHOTONS

Kevin Lalumière1, B. C. Sanders2, A. F. van Loo3, A. Fedorov3, A. Wallraff3, and

  • A. Blais1

1Université de Sherbrooke, Canada 2University of Calgary, Canada 3University of Zurich, Switzerland

  • Phys. Rev. A 88, 043806

Science, in press

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SLIDE 2

PLAN

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SLIDE 3

PLAN

What I do

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SLIDE 4

PLAN

What I do Physics primer: EM waves and electrical circuits

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SLIDE 5

PLAN

What I do Physics primer: EM waves and electrical circuits Waveguide QED

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SLIDE 6

PLAN

What I do Physics primer: EM waves and electrical circuits Waveguide QED Many qubits waveguide QED (our contribution)

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SLIDE 7

WHAT I DO

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SLIDE 8

WHAT I DO

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SLIDE 9

WHAT I DO

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SLIDE 10

PHYSICS PRIMER: ELECTRICAL CURRENT AND EM WAVES

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SLIDE 11

PHYSICS PRIMER: ELECTRICAL CURRENT AND EM WAVES

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SLIDE 12

PHYSICS PRIMER: ELECTRICAL CURRENT AND EM WAVES

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SLIDE 13

PHYSICS PRIMER: ELECTRICAL CURRENT AND EM WAVES

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SLIDE 14

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 15

Circuits element schematics

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 16

Circuits element schematics Wire

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 17

Circuits element schematics Wire Ground

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 18

Circuits element schematics Wire Ground Capacitor

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 19

Circuits element schematics Wire Ground Capacitor Voltage source

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 20

Circuits element schematics Wire Ground Capacitor Voltage source Oscilloscope (to measure)

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 21

Circuits element schematics Wire Ground Capacitor Voltage source Oscilloscope (to measure) Josephson junction

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 22

Circuits element schematics Wire Ground Capacitor Voltage source Oscilloscope (to measure) Josephson junction

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 23

Circuits element schematics Wire Ground Capacitor Voltage source Oscilloscope (to measure) Josephson junction

PHYSICS PRIMER: ELECTRICAL CIRCUITS

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SLIDE 24

WAVEGUIDE QED EXPERIMENT

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SLIDE 25

WAVEGUIDE QED EXPERIMENT

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SLIDE 26

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 27

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 28

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 29

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 30

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 31

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 32

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 33

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 34

WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 35

WAVEGUIDE QED LOW INTENSITY Vin(t)

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SLIDE 36

WAVEGUIDE QED LOW INTENSITY Vin(t)

  • 10
  • 5

5 10 0.0 0.2 0.4 0.6 0.8 1.0

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SLIDE 37

WAVEGUIDE QED LOW INTENSITY Vin(t)

  • 10
  • 5

5 10 0.0 0.2 0.4 0.6 0.8 1.0

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SLIDE 38

WAVEGUIDE QED HIGH INTENSITY Vin(t)

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SLIDE 39

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 40

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 41

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 42

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 43

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 44

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 45

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 46

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 47

WAVEGUIDE QED HIGH INTENSITY Vin(t)

  • 10
  • 5

5 10 0.2 0.4 0.6 0.8 1.0

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SLIDE 48

WAVEGUIDE QED HIGH INTENSITY V(t)

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
  • O. Astafiev et al. Science 327, 840 (2010)

I.-O. Hio et al. Phys. Rev. Lett. 107, 073601 (2011)

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SLIDE 49

WAVEGUIDE QED HIGH INTENSITY V(t)

Observed experimentally

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
  • O. Astafiev et al. Science 327, 840 (2010)

I.-O. Hio et al. Phys. Rev. Lett. 107, 073601 (2011)

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SLIDE 50

WAVEGUIDE QED HIGH INTENSITY V(t)

Observed experimentally Important experiment for physicists

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
  • O. Astafiev et al. Science 327, 840 (2010)

I.-O. Hio et al. Phys. Rev. Lett. 107, 073601 (2011)

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SLIDE 51

WAVEGUIDE QED HIGH INTENSITY V(t)

Observed experimentally Important experiment for physicists Usually, qubits (atoms) move

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
  • O. Astafiev et al. Science 327, 840 (2010)

I.-O. Hio et al. Phys. Rev. Lett. 107, 073601 (2011)

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SLIDE 52

WAVEGUIDE QED HIGH INTENSITY V(t)

Observed experimentally Important experiment for physicists Usually, qubits (atoms) move Hard to couple to drive signal

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
  • O. Astafiev et al. Science 327, 840 (2010)

I.-O. Hio et al. Phys. Rev. Lett. 107, 073601 (2011)

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SLIDE 53

WAVEGUIDE QED HIGH INTENSITY V(t)

Observed experimentally Important experiment for physicists Usually, qubits (atoms) move Hard to couple to drive signal Hard to read output signal

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
  • O. Astafiev et al. Science 327, 840 (2010)

I.-O. Hio et al. Phys. Rev. Lett. 107, 073601 (2011)

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SLIDE 54

NEW WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 55

NEW WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 56

NEW WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 57

NEW WAVEGUIDE QED EXPERIMENT

  • 273˚C
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SLIDE 58

NEW WAVEGUIDE QED EXPERIMENT

  • 273˚C

Phase acquired by EM wave between qubits

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SLIDE 59

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 60

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 61

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 62

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 63

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 64

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 65

Superradiance

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 66

Subradiance (not drive tone) Superradiance

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 67

First observation of this signature of subradiance Subradiance (not drive tone) Superradiance

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 68

First observation of this signature of subradiance Decoherence free subspace? Subradiance (not drive tone) Superradiance

φ=nπ SUPER- AND SUBRADIANCE

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SLIDE 69

φ=(2n+1)π/2 COHERENT INTERACTION

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SLIDE 70

φ=(2n+1)π/2 COHERENT INTERACTION

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SLIDE 71

φ=(2n+1)π/2 COHERENT INTERACTION

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SLIDE 72

φ=(2n+1)π/2 COHERENT INTERACTION

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SLIDE 73

φ=(2n+1)π/2 COHERENT INTERACTION

Vacuum fluctuations of EM waves

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SLIDE 74

φ=(2n+1)π/2 COHERENT INTERACTION

Because of symmetry, coherent interaction is 0 for φ=nπ Vacuum fluctuations of EM waves

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SLIDE 75

φ=(2n+1)π/2 COHERENT INTERACTION

Because of symmetry, coherent interaction is 0 for φ=nπ It is maximal around φ=(2n+1)π/2 Vacuum fluctuations of EM waves

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SLIDE 76

φ=(2n+1)π/2 COHERENT INTERACTION

Because of symmetry, coherent interaction is 0 for φ=nπ It is maximal around φ=(2n+1)π/2 Vacuum fluctuations of EM waves

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SLIDE 77

φ=(2n+1)π/2 COHERENT INTERACTION

Because of symmetry, coherent interaction is 0 for φ=nπ It is maximal around φ=(2n+1)π/2 Vacuum fluctuations of EM waves

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SLIDE 78

φ=(2n+1)π/2 COHERENT INTERACTION

Because of symmetry, coherent interaction is 0 for φ=nπ It is maximal around φ=(2n+1)π/2 Vacuum fluctuations of EM waves

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SLIDE 79

φ=(2n+1)π/2 COHERENT INTERACTION

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SLIDE 80

φ=(2n+1)π/2 COHERENT INTERACTION

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SLIDE 81

φ=(2n+1)π/2 COHERENT INTERACTION

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φ=(2n+1)π/2 COHERENT INTERACTION

First observation of signature

  • f exchange interaction in

these kind of systems.

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SLIDE 83

φ=(2n+1)π/2 COHERENT INTERACTION

First observation of signature

  • f exchange interaction in

these kind of systems. Two qubits gate

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SLIDE 84

φ=(2n+1)π/2 COHERENT INTERACTION

First observation of signature

  • f exchange interaction in

these kind of systems. Two qubits gate Quantum interaction of

  • bjects 2 cm appart!
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SLIDE 85

CONCLUSIONS

  • Phys. Rev. A 88, 043806

Science, in press

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SLIDE 86

Using cold electrical circuits and Josephson junctions

CONCLUSIONS

  • Phys. Rev. A 88, 043806

Science, in press

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SLIDE 87

Using cold electrical circuits and Josephson junctions We can build many-qubits quantum devices that exhibits interesting physical effects such as

CONCLUSIONS

  • Phys. Rev. A 88, 043806

Science, in press

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SLIDE 88

Using cold electrical circuits and Josephson junctions We can build many-qubits quantum devices that exhibits interesting physical effects such as Mollow triplets

CONCLUSIONS

  • Phys. Rev. A 88, 043806

Science, in press

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
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SLIDE 89

Using cold electrical circuits and Josephson junctions We can build many-qubits quantum devices that exhibits interesting physical effects such as Mollow triplets Subradiance

CONCLUSIONS

  • Phys. Rev. A 88, 043806

Science, in press

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
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SLIDE 90

Using cold electrical circuits and Josephson junctions We can build many-qubits quantum devices that exhibits interesting physical effects such as Mollow triplets Subradiance Quantum coherent interaction

CONCLUSIONS

  • Phys. Rev. A 88, 043806

Science, in press

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
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SLIDE 91

Using cold electrical circuits and Josephson junctions We can build many-qubits quantum devices that exhibits interesting physical effects such as Mollow triplets Subradiance Quantum coherent interaction

CONCLUSIONS

THANKS

  • Phys. Rev. A 88, 043806

Science, in press

  • 100
  • 50

50 100 1 2 3

A

/2 (MHz) 0 +

  • 0 –
  • S (10-24 W/Hz)
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SLIDE 92

Qubit-qubit interaction (4.8 GHz; 3λ/4)

  • Qubit-qubit interaction: emission of (virtual) photons at all ω ≠ ω01
  • Contribution to J from ω: g1 g2/(ω01 - ω)
  • Sum over all ω is finite because of sign changes around 3λ/4
  • J =0 at λ, λ/2...

g1 g2

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SLIDE 93

Qubit-qubit interaction (4.8 GHz; 3λ/4)

  • Qubit-qubit interaction: emission of (virtual) photons at all ω ≠ ω01
  • Contribution to J from ω: g1 g2/(ω01 - ω)
  • Sum over all ω is finite because of sign changes around 3λ/4
  • J =0 at λ, λ/2...

g1 g2

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SLIDE 94

Qubit-qubit interaction (4.8 GHz; 3λ/4)

  • Qubit-qubit interaction: emission of (virtual) photons at all ω ≠ ω01
  • Contribution to J from ω: g1 g2/(ω01 - ω)
  • Sum over all ω is finite because of sign changes around 3λ/4
  • J =0 at λ, λ/2...

g1 > 0, g2 > 0, ω01 - ω < 0 g1 g2

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SLIDE 95

Qubit-qubit interaction (4.8 GHz; 3λ/4)

  • Qubit-qubit interaction: emission of (virtual) photons at all ω ≠ ω01
  • Contribution to J from ω: g1 g2/(ω01 - ω)
  • Sum over all ω is finite because of sign changes around 3λ/4
  • J =0 at λ, λ/2...

g1 > 0, g2 > 0, ω01 - ω < 0 g1 g2 ⇒ -

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SLIDE 96

Qubit-qubit interaction (4.8 GHz; 3λ/4)

  • Qubit-qubit interaction: emission of (virtual) photons at all ω ≠ ω01
  • Contribution to J from ω: g1 g2/(ω01 - ω)
  • Sum over all ω is finite because of sign changes around 3λ/4
  • J =0 at λ, λ/2...

g1 > 0, g2 > 0, ω01 - ω < 0 g1 g2 ⇒ -

slide-97
SLIDE 97

Qubit-qubit interaction (4.8 GHz; 3λ/4)

  • Qubit-qubit interaction: emission of (virtual) photons at all ω ≠ ω01
  • Contribution to J from ω: g1 g2/(ω01 - ω)
  • Sum over all ω is finite because of sign changes around 3λ/4
  • J =0 at λ, λ/2...

g1 > 0, g2 > 0, ω01 - ω < 0 g1 g2 ⇒ - g1 > 0, g2 < 0, ω01 - ω > 0

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SLIDE 98

Qubit-qubit interaction (4.8 GHz; 3λ/4)

  • Qubit-qubit interaction: emission of (virtual) photons at all ω ≠ ω01
  • Contribution to J from ω: g1 g2/(ω01 - ω)
  • Sum over all ω is finite because of sign changes around 3λ/4
  • J =0 at λ, λ/2...

g1 > 0, g2 > 0, ω01 - ω < 0 g1 g2 ⇒ - g1 > 0, g2 < 0, ω01 - ω > 0 ⇒ -