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The impact of measurement backaction on many-body virtual transport - - PowerPoint PPT Presentation

Apr 04, 2024 108 likes •487 views

The impact of measurement backaction on many-body virtual transport OZ, A. Carmi, and A. Romito, D. Bischoff, M. Eich , OZ, C. Rssler, T. M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, OZ , and D. Zumb uhl, Phys. Rev. B 90 ,

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SLIDE 1

The impact of measurement backaction

  • n many-body virtual transport

OZ, A. Carmi, and A. Romito,

  • Phys. Rev. B 90, 205413 (2014);
  • Phys. Rev. B 99, 165422 (2019)
  • D. Bischoff, M. Eich, OZ, C. Rössler, T.

Ihn, K. Ensslin, Nano Lett. 15, 6003 (2015)

  • M. S. Ferguson, L. Camenzind, C. Mueller, B.

Braunecker, OZ, and D. Zumb

  • uhl,

in preparation

QUantum Engineered SysTems (QUEST) Oded Zilberberg

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SLIDE 2

Measurement postulate

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SLIDE 3

Virtual transport

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SLIDE 4

Can a particle collapse under a barrier?

See also

  • E. Condon and P. Morse, RMP 3, 43

(1931).

  • E. Wigner, PR 98, 145 (1955).
  • M. Büttiker and R. Landauer, PRL 49,

1739 1982).

  • M. Büttiker, PRB 27, 6178 (1983).
  • D. Sokolovski and L. M. Baskin, PRA

36, 4604 (1987).

  • A. M. Steinberg, PRL 74, 2405 (1995).
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SLIDE 5

Many-body virtual transport

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

cotunneling

𝜐 ≈ ℏ/Δ𝐹

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SLIDE 6

Many-body virtual transport 𝜐 ≈ ℏ/Δ𝐹

see also, Romito and Gefen, PRB 90, 085417 (2014) and talk by A. Steinberg

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

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SLIDE 7

Many-body detection of virtual transport

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

see also, Non-barking dogs reference in talk of M. Devoret

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SLIDE 8

Many-body detection of virtual transport

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

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SLIDE 9

Many-body detection of virtual transport

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

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SLIDE 10

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

Detailed calculation ahead

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SLIDE 11

Quantum point contact (microscopic approach)

Rate equation for a QPC:

I

  • S. A. Gurvitz, Phys. Rev.B 56, 15215 (1997)
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SLIDE 12

Quantum point contact (microscopic approach)

Rate equation for a QPC:

I

  • S. A. Gurvitz, Phys. Rev.B 56, 15215 (1997)

see also, works by A. Korotkov, D. Averin and

  • A. Jordan
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SLIDE 13

Microscopic description

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

Calculate the amplitudes for microscopic events

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SLIDE 14

Microscopic description

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

Calculate the amplitudes for microscopic events

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SLIDE 15

Microscopic description – toy model

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

Calculate the amplitudes for microscopic events Assumptions:

  • 1. T=0

2. 3.

      

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SLIDE 16

Microscopic description – backaction I

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

Calculate the amplitudes for microscopic events

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SLIDE 17

Microscopic description – backaction II

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

Calculate the amplitudes for microscopic events

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SLIDE 18

Backaction

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

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SLIDE 19

Cotunneling time

OZ, A. Carmi, and A. Romito, Phys. Rev. B 90, 205413 (2014)

≈ ℏ/Δ𝐹

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SLIDE 20

Mesoscopic drag + backaction

  • D. Bischoff, M. Eich, OZ, C. Rössler, T. Ihn, K. Ensslin, Nano Lett. 15, 6003 (2015)
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SLIDE 21

Mesoscopic drag + backaction

  • D. Bischoff, M. Eich, OZ, C. Rössler, T. Ihn, K. Ensslin, Nano Lett. 15, 6003 (2015)
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SLIDE 22

Mesoscopic drag + backaction

  • D. Bischoff, M. Eich, OZ, C. Rössler, T. Ihn, K. Ensslin, Nano Lett. 15, 6003 (2015)
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SLIDE 23

Mesoscopic drag + backaction

  • D. Bischoff, M. Eich, OZ, C. Rössler, T. Ihn, K. Ensslin, Nano Lett. 15, 6003 (2015)
  • R. Sanchez, R. Lopez, D. Sanchez, M. Buttiker,
  • Phys. Rev. Lett. 104, 076801 (2010).
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SLIDE 24

Mesoscopic drag + backaction

  • D. Bischoff, M. Eich, OZ, C. Rössler, T. Ihn, K. Ensslin, Nano Lett. 15, 6003 (2015)
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SLIDE 25

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation

Biesinger et al., PRL 115, 106804 (2015)

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SLIDE 26

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation

Biesinger et al., PRL 115, 106804 (2015)

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SLIDE 27

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation

Biesinger et al., PRL 115, 106804 (2015)

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SLIDE 28

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation

Biesinger et al., PRL 115, 106804 (2015)

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SLIDE 29

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation

Biesinger et al., PRL 115, 106804 (2015)

see also, talks by

  • M. Devoret, I. Pop,

and A. Jordan

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SLIDE 30

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation

see also, talks by

  • M. Devoret, I. Pop,

and A. Jordan

Biesinger et al., PRL 115, 106804 (2015)

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SLIDE 31

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation

Comapre with, Goldstein, Berkovits and Gefen, PRL 104, 226805 (2010)

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SLIDE 32

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation
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SLIDE 33

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation
slide-34
SLIDE 34

Backaction induced quantum phase transitions

  • M. S. Ferguson, L. Camenzind, C. Mueller, B. Braunecker, D. Zümbuhl, and OZ, in preparation
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SLIDE 35

Credits

Alessandro Romito Lancaster Assaf Carmi Consumer physics, Inc. Dominik Bischoff Axpo group Marius Eich ETH Clemens Rössler Infenion Thomas Ihn ETH Klaus Ensslin ETH Yuval Gefen Weizmann

Quantum measurements Measurement backaction Mesoscopic drag Population switching

Dominik Zümbuhl Basel Leon Camenzind Basel Clemens Mueller IBM Zurich Bernd Braunecker

  • St. Andrews

Michael S. Ferguson ETH

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SLIDE 36

Summary

Quantum measurements Measurement backaction Mesoscopic drag Population switching

OZ, A. Carmi, and A. Romito,

  • Phys. Rev. B 90, 205413 (2014);

OZ and A. Romito; Phys. Rev. B 99, 165422 (2019) OZ, B. Braunecker, and D. Loss, Phys. Rev. A 77, 012327 (2008); OZ, A. Romito, and Y. Gefen, Phys. Rev. Lett. 106, 080405 (2011); OZ, A. Romito, D. J. Starling, G. A. Howland, C. J. Broadbent, J. C. Howell, and Y. Gefen, Phys. Rev. Lett. 110, 170405 (2013); OZ, A. Romito, and Y. Gefen, Physica Scripta T151, 014014 (2012); OZ, A. Romito, and Y. Gefen, Phys. Rev. B 93, 115411 (2016);

  • D. Bischoff, M. Eich, OZ, C. Rössler, T. Ihn,
  • K. Ensslin, Nano Lett. 15, 6003 (2015)
  • M. S. Ferguson, L. Camenzind, C. Mueller, B.

Braunecker, D. Zümbuhl, and OZ, in preparation

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SLIDE 37

The QUEST continues

Thank you!