Anandan et al. reply

Jeeva Anandan, Eric Sjöqvist, Arun K. Pati, Artur Ekert, Marie Ericsson, Daniel K.L. Oi, Vlatko Vedral

Research output: Contribution to journalLetter

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Abstract

We agree with Bhandari [1] that our mixed state phase Φ = argTr(Uiρ0) = 0 is undefined in the special cases,
Tr(Uiρ0) = 0
However, for the example in our paper [2] that Bhandari criticizes Tr(Uiρ0) = -1 ≠ 0. In this example of interferometry with unpolarized neutrons, where one beam is given a rotation of 2π radians, our mixed state phase shift is π (modulo 2π), in agreement with the experiments. But Bhandari claims that this phase shift is ‘‘indeterminate’’ because it could be π or -π; but these two phases differ by 2π. So, the only difference between Bhandari’s viewpoint and ours is that our phase is defined modulo 2π, whereas Bhandari argues that two phases that differ by 2πn, n integer, may be distinguished experimentally in a history-dependent manner.
Original languageEnglish
Article number268902
Number of pages1
JournalPhysical Review Letters
Volume89
Issue number26
DOIs
Publication statusPublished - 12 Dec 2002

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phase shift
integers
interferometry
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Keywords

  • letter
  • interferometry
  • unpolarized neutrons
  • phase shift

Cite this

Anandan, J., Sjöqvist, E., Pati, A. K., Ekert, A., Ericsson, M., Oi, D. K. L., & Vedral, V. (2002). Anandan et al. reply. Physical Review Letters, 89(26), [268902]. https://doi.org/10.1103/PhysRevLett.89.268902
Anandan, Jeeva ; Sjöqvist, Eric ; Pati, Arun K. ; Ekert, Artur ; Ericsson, Marie ; Oi, Daniel K.L. ; Vedral, Vlatko. / Anandan et al. reply. In: Physical Review Letters. 2002 ; Vol. 89, No. 26.
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abstract = "We agree with Bhandari [1] that our mixed state phase Φ = argTr(Uiρ0) = 0 is undefined in the special cases,Tr(Uiρ0) = 0However, for the example in our paper [2] that Bhandari criticizes Tr(Uiρ0) = -1 ≠ 0. In this example of interferometry with unpolarized neutrons, where one beam is given a rotation of 2π radians, our mixed state phase shift is π (modulo 2π), in agreement with the experiments. But Bhandari claims that this phase shift is ‘‘indeterminate’’ because it could be π or -π; but these two phases differ by 2π. So, the only difference between Bhandari’s viewpoint and ours is that our phase is defined modulo 2π, whereas Bhandari argues that two phases that differ by 2πn, n integer, may be distinguished experimentally in a history-dependent manner.",
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Anandan, J, Sjöqvist, E, Pati, AK, Ekert, A, Ericsson, M, Oi, DKL & Vedral, V 2002, 'Anandan et al. reply', Physical Review Letters, vol. 89, no. 26, 268902. https://doi.org/10.1103/PhysRevLett.89.268902

Anandan et al. reply. / Anandan, Jeeva; Sjöqvist, Eric; Pati, Arun K.; Ekert, Artur; Ericsson, Marie; Oi, Daniel K.L.; Vedral, Vlatko.

In: Physical Review Letters, Vol. 89, No. 26, 268902, 12.12.2002.

Research output: Contribution to journalLetter

TY - JOUR

T1 - Anandan et al. reply

AU - Anandan, Jeeva

AU - Sjöqvist, Eric

AU - Pati, Arun K.

AU - Ekert, Artur

AU - Ericsson, Marie

AU - Oi, Daniel K.L.

AU - Vedral, Vlatko

PY - 2002/12/12

Y1 - 2002/12/12

N2 - We agree with Bhandari [1] that our mixed state phase Φ = argTr(Uiρ0) = 0 is undefined in the special cases,Tr(Uiρ0) = 0However, for the example in our paper [2] that Bhandari criticizes Tr(Uiρ0) = -1 ≠ 0. In this example of interferometry with unpolarized neutrons, where one beam is given a rotation of 2π radians, our mixed state phase shift is π (modulo 2π), in agreement with the experiments. But Bhandari claims that this phase shift is ‘‘indeterminate’’ because it could be π or -π; but these two phases differ by 2π. So, the only difference between Bhandari’s viewpoint and ours is that our phase is defined modulo 2π, whereas Bhandari argues that two phases that differ by 2πn, n integer, may be distinguished experimentally in a history-dependent manner.

AB - We agree with Bhandari [1] that our mixed state phase Φ = argTr(Uiρ0) = 0 is undefined in the special cases,Tr(Uiρ0) = 0However, for the example in our paper [2] that Bhandari criticizes Tr(Uiρ0) = -1 ≠ 0. In this example of interferometry with unpolarized neutrons, where one beam is given a rotation of 2π radians, our mixed state phase shift is π (modulo 2π), in agreement with the experiments. But Bhandari claims that this phase shift is ‘‘indeterminate’’ because it could be π or -π; but these two phases differ by 2π. So, the only difference between Bhandari’s viewpoint and ours is that our phase is defined modulo 2π, whereas Bhandari argues that two phases that differ by 2πn, n integer, may be distinguished experimentally in a history-dependent manner.

KW - letter

KW - interferometry

KW - unpolarized neutrons

KW - phase shift

UR - https://journals.aps.org/prl/

U2 - 10.1103/PhysRevLett.89.268902

DO - 10.1103/PhysRevLett.89.268902

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ER -

Anandan J, Sjöqvist E, Pati AK, Ekert A, Ericsson M, Oi DKL et al. Anandan et al. reply. Physical Review Letters. 2002 Dec 12;89(26). 268902. https://doi.org/10.1103/PhysRevLett.89.268902