2017
DOI: 10.1103/physrevd.96.025020
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All coherent field states entangle equally

Abstract: We analyze the interactions of particle detectors with coherent states of a free scalar field. We find that the eigenvalues of the post-interaction density matrices of i) a single detector, ii) two detectors, and iii) the partial transpose of the latter, are all independent of which coherent state the field was in. A consequence of these results is that a detector pair can harvest the same amount of entanglement from any coherent field state as from the vacuum.

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Cited by 24 publications
(33 citation statements)
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“…where γ a is defined in Eq. (36). Hence we see that π a |±α a is the sum of two terms, and in particular we find that if γ 2 a 0|π 2 a |0 then π a |±α a ≈ ±γ a |±α a .…”
Section: B Encoding a Qubit Into A Fieldmentioning
confidence: 55%
See 1 more Smart Citation
“…where γ a is defined in Eq. (36). Hence we see that π a |±α a is the sum of two terms, and in particular we find that if γ 2 a 0|π 2 a |0 then π a |±α a ≈ ±γ a |±α a .…”
Section: B Encoding a Qubit Into A Fieldmentioning
confidence: 55%
“…a single use of the channel can transmit at most one qubit), we thus conclude that in the limit λ φ /σ → ∞, the quantum channel capacity Q(Ξ) approaches its maximum value of 1. In other words, we have verified, without the use of any approximations, that the field-mediated quantum channel from Alice to Bob is indeed a perfect quantum channel if the conditions (35) and (36) are satisfied.…”
Section: A Gaussian Detector Smearingmentioning
confidence: 69%
“…We will then consider the case of squeezed coherent states [37], where, to the authors' knowledge, no previous literature exists. We will first prove that the statement "entanglement harvesting is independent of the field's coherent amplitude" is true not only for non-squeezed coherent states, as was shown in [34], but also for arbitrarily squeezed coherent states. On the other hand we will show that, unlike the coherent amplitude, the choice of field's squeezing amplitude ζ(k) does in fact affect the ability of UDW detectors to become entangled, and moreover the Fourier transform of ζ(k) directly gives the locations in space near which entanglement harvesting is optimal.…”
Section: Introductionmentioning
confidence: 79%
“…Furthermore, for harmonic oscillator detectors, this noise has been found to increase with field temperature, leading to detrimental effects on the amount of entanglement harvested [18] by oscillator pairs. Meanwhile, and perhaps surprisingly, for UDW detectors interacting with coherent states of the field, the presence of leading order local noise does not end up affecting the amount of entanglement that can be harvested from the field [34,35].…”
Section: Introductionmentioning
confidence: 99%
“…To see the form of this matrix in general when the onepoint function of (a single) field does not vanish one can check, e.g., equation (55) of [23].…”
Section: Analysis Of Pairs Of Detectorsmentioning
confidence: 99%