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Negative Full Counting Statistics Arise from Interference Effects

Hofer, Patrick P. LU orcid and Clerk, A. A. (2016) In Physical Review Letters 116(1).
Abstract

The Keldysh-ordered full counting statistics is a quasiprobability distribution describing the fluctuations of a time-integrated quantum observable. While it is well known that this distribution can fail to be positive, the interpretation and origin of this negativity has been somewhat unclear. Here, we show how the full counting statistics can be tied to trajectories through Hilbert space, and how this directly connects negative quasiprobabilities to an unusual interference effect. Our findings are illustrated with the example of energy fluctuations in a driven bosonic resonator; we discuss how negative quasiprobability here could be detected experimentally using superconducting microwave circuits.

Please use this url to cite or link to this publication:
author
and
publishing date
type
Contribution to journal
publication status
published
in
Physical Review Letters
volume
116
issue
1
article number
013603
publisher
American Physical Society
external identifiers
  • scopus:84954426406
ISSN
0031-9007
DOI
10.1103/PhysRevLett.116.013603
language
English
LU publication?
no
id
f1866b5d-9082-4e99-9f68-8b13eeb63a00
date added to LUP
2019-05-14 09:50:15
date last changed
2022-04-10 08:20:00
@article{f1866b5d-9082-4e99-9f68-8b13eeb63a00,
  abstract     = {{<p>The Keldysh-ordered full counting statistics is a quasiprobability distribution describing the fluctuations of a time-integrated quantum observable. While it is well known that this distribution can fail to be positive, the interpretation and origin of this negativity has been somewhat unclear. Here, we show how the full counting statistics can be tied to trajectories through Hilbert space, and how this directly connects negative quasiprobabilities to an unusual interference effect. Our findings are illustrated with the example of energy fluctuations in a driven bosonic resonator; we discuss how negative quasiprobability here could be detected experimentally using superconducting microwave circuits.</p>}},
  author       = {{Hofer, Patrick P. and Clerk, A. A.}},
  issn         = {{0031-9007}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{1}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Negative Full Counting Statistics Arise from Interference Effects}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.116.013603}},
  doi          = {{10.1103/PhysRevLett.116.013603}},
  volume       = {{116}},
  year         = {{2016}},
}