Universal transformation of displacement operators and its application to homodyne tomography in differing relativistic reference frames

Onoe, Sho; Ralph, T. C.

doi:10.1103/physrevd.99.116001

Cited by 6 publications

(9 citation statements)

References 64 publications

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“…The aims of this paper have been threefold. Firstly, we proposed a new teleportation model for the mode-selective mirror, which is widely used in quantum information and communication [4][5][6], relativistic QFT [9][10][11][12][13][14] and experimental applications in quantum optics [15][16][17][18].…”

Section: Discussionmentioning

confidence: 99%

“…Mode-selective mirrors and beamsplitters have been identified as key tools in future communications and metrology applications [4][5][6][7][8]. Other mode-discriminating interactions such as phase-shifters, displacements and squeezers have been studied in the context of relativistic quantum communication protocols [9][10][11][12][13][14] describing interactions between quantum fields and observers in relativistic reference frames.…”

Section: Introductionmentioning

confidence: 99%

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Telefilters, telemirrors, and causality

Foo,

Onoe,

Zych

et al. 2021

Preprint

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We present new theoretical models for quantum optical mode-selective filters and mirrors using continuousvariable teleportation. We call these devices telefilters and telemirrors respectively. Both devices act as the identity channel on a mode of interest from an input multi-mode field while filtering or reflecting all the orthogonal modes. We utilise these models to analyse a causality problem in relativistic quantum optics, specifically the apparently acausal transmission and propagation of temporally delocalised wavepackets through mode-selective mirrors. Firstly, we show how telemirrors -and thus mode-selective operations generally -enact a fundamental time-delay on such wavepackets, which is necessary in order to prevent violations of causality. In an attempt to circumvent this delay, we next consider teleporting the independent temporal components of the input field separately and continuously, that is, performing operations 'on-the-run'. In this scenario, the telemirror transmits the mode of interest as well as orthogonal modes which carry with them uncorrelated noise. In this scenario, the device may be considered mode-discriminating but not mode-selective.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Telefilters, telemirrors, and causality

Foo,

Onoe,

Zych

et al. 2021

Preprint

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“…Following the description of [35][36][37][38], we introduce a complete orthonormal set of discrete (nonmonochromatic) bosonic operators {â i , âj , ...}:…”

Section: B Discrete Decomposition Of Scalar and Conjugate Fieldsmentioning

confidence: 99%

“…The scalar and conjugatefield operators can be expanded in terms of the operators in this discrete basis set with the aid of the decomposition [38]…”

Section: B Discrete Decomposition Of Scalar and Conjugate Fieldsmentioning

confidence: 99%

Realizing an Unruh-DeWitt detector through electro-optic sampling of the electromagnetic vacuum

Onoe,

Guedes,

Moskalenko

et al. 2021

Preprint

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A new theoretical framework to describe the experimental advances in electro-optic detection of broadband quantum states, specifically the quantum vacuum, is devised. By making use of fundamental concepts from quantum field theory on spacetime metrics, the nonlinear interaction behind the electro-optic effect can be reformulated in terms of an Unruh-DeWitt detector coupled to a conjugate field during a very short time interval. When the coupling lasts for a time interval comparable to the oscillation periods of the detected field mode (i.e. the subcycle regime), virtual particles inhabiting the field vacuum are transferred to the detector in the form of real excitations. We demonstrate that this behavior can be rigorously translated to the scenario of electro-optic sampling of the quantum vacuum, in which the (spectrally filtered) probe works as an Unruh-DeWitt detector, with its interaction-generated photons arising from virtual particles inhabiting the electromagnetic vacuum. We discuss the specific working regime of such processes, and the consequences through characterization of the quantum light involved in the detection.

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“…When a two‐mode bosonic state passes through an amplitude decay channel, the evolution of the density operator in the interaction picture can be governed by the master equation [ 28 ]

\frac{d ρ (t)}{d t} = (L_{a} + L_{b}) ρ (t)

where

L_{i} ρ false(t false) = κ false[2 i ρ (t) i^{†} - i^{†} i ρ (t) - ρ (t) i^{†} i false]

(i = a, b)

, [ 82–84 ] both modes a and b have the same dissipative rate κ. Using the CV entangled state representation, that is,

{| η ⟩}_{i} = D_{i} false(η false) {| η = 0 ⟩}_{i}

, where

D_{i} false(η false)

is the displaced operator [ 85 ] and

{| η = 0 ⟩}_{i} = \exp false(i^{†}

^{†} false) false| 0, \tilde{0} false⟩

, ĩ † is photon creation operator of the fictitious mode accompanying the real mode

i^{†}

, one finally analytically obtain the operator‐sum representation for the evolved density operator

ρ_{i} false(t false)

of mode i , that is,

ρ_{i} false(t false) = \sum_{k = 0}^{\infty} {boldM}_{k}^{i} ρ_{i} false(0 false) ({boldM}_{k}^{i})

…”

Section: Wigner‐function Negativity For Amplitude Decaymentioning

confidence: 99%

Continuous‐Variable Entanglement and Wigner‐Function Negativity via Adding or Subtracting Photons

Meng

Wang

et al. 2020

Annalen der Physik

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The performance of adding or subtracting photons on two-mode squeezed thermal states via examining the Einstein-Podolsky-Rosen (EPR) correlation, the Hillery-Zubairy (HZ) correlation, the fidelity of teleportation, and the negativity of Wigner function is theoretically investigated. The normalization factors and the teleportation fidelity are related to Jacobi polynomials, and the (evolved) Wigner functions are simply associated with two-variable Hermite polynomials. Compared with the original squeezed thermal states, the EPR correlation and the teleportation fidelity can be enhanced by photon subtraction and basically weakened by photon addition symmetric operations, but they cannot be enhanced for both photon addition and subtraction asymmetric cases. Also, HZ correlation can provide a better option relative to the EPR correlation in detecting the entanglement, and the fidelity for teleporting a squeezed state with a large squeezing can also be enhanced via photon addition symmetric operations, in contrast to teleporting a coherent state. Additionally, the nonclassicality is discussed in terms of the negativity of the (evolved) Wigner functions, which shows that photon addition and subtraction and the squeezing cannot restrain the deteriorate of nonclassicality, and the evolved Wigner functions become Gaussian (corresponding to vacuum) with long decay times as a result of amplitude decay.

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Universal transformation of displacement operators and its application to homodyne tomography in differing relativistic reference frames

Cited by 6 publications

References 64 publications

Telefilters, telemirrors, and causality

Telefilters, telemirrors, and causality

Realizing an Unruh-DeWitt detector through electro-optic sampling of the electromagnetic vacuum

Continuous‐Variable Entanglement and Wigner‐Function Negativity via Adding or Subtracting Photons

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