Steady-State Generation of Wigner-Negative States in One-Dimensional Resonance Fluorescence

Quijandría, Fernando; Strandberg, Ingrid; Johansson, Göran

doi:10.1103/physrevlett.121.263603

Cited by 17 publications

(16 citation statements)

References 57 publications

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“…Nevertheless, a characterization of the radiation field in terms of the Wigner function had not been performed until recently. In a previous paper, we demonstrated numerically that for certain parameter regimes, the emission from the two-level system in front of a mirror is characterized by a nega-tive Wigner function [31]. Thus, this is a potential implementation for continually generating possible resource states for quantum computing.…”

Section: Introductionmentioning

confidence: 94%

“…It has the property W > 0 when the Wigner function W (x, p) has a negative part. In our previous article [31], we used the integrated negativity N = |W (x, p)| − W (x, p) dx dp, which is related to the WLN by W = log(N + 1). While it is also a monotone, the WLN has the advantage of being additive [41].…”

Section: A Quantum Phase Space and The Wigner Functionmentioning

confidence: 99%

“…For the results so far, we have simulated detection of the atomic emission only, i.e. ignored the reflected drive field since it only shifts the Wigner function in phase space without affecting the negativity (shown in [31]). In this section we include the drive, and also allow it to be complex by adding a phase: Ω = |Ω|e iϕ , such that with γ = 1 the Hamiltonian in Eq.…”

Section: Coherent Displacementmentioning

confidence: 99%

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Numerical study of Wigner negativity in one-dimensional steady-state resonance fluorescence

Strandberg

Quijandría

et al. 2019

Phys. Rev. A

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In a numerical study, we investigate the steady-state generation of nonclassical states of light from a coherently driven two-level atom in a one-dimensional waveguide. Specifically, we look for states with a negative Wigner function, since such nonclassical states are a resource for quantum information processing applications, including quantum computing. We find that a waveguide terminated by a mirror at the position of the atom can provide Wigner-negative states, while an infinite waveguide yields strictly positive Wigner functions. Moreover, our investigation reveals a connection between the purity of a quantum state and its Wigner negativity. We also analyze the effects of decoherence on the negativity of a state.

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Section: Introductionmentioning

confidence: 94%

Section: A Quantum Phase Space and The Wigner Functionmentioning

confidence: 99%

Section: Coherent Displacementmentioning

confidence: 99%

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Numerical study of Wigner negativity in one-dimensional steady-state resonance fluorescence

Strandberg

Quijandría

et al. 2019

Phys. Rev. A

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“…4e). For Ω γ, the nonlinear response of the twolevel systems leads to negativity in the WD and hence non-gaussianity of the emitted light [42,48], which grows with the number of atoms N (third row in Fig. 4e).…”

Section: Non-gaussian State Of the Guided Lightmentioning

confidence: 99%

Interaction signatures and non-Gaussian photon states from a strongly driven atomic ensemble coupled to a nanophotonic waveguide

et al. 2020

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We study theoretically a laser-driven one-dimensional chain of atoms interfaced with the guided optical modes of a nanophotonic waveguide. The period of the chain and the orientation of the laser field can be chosen such that emission occurs predominantly into a single guided mode. We find that the fluorescence excitation line shape changes as the number of atoms is increased, eventually undergoing a splitting that provides evidence for the waveguide-mediated all-to-all interactions. Remarkably, in the regime of strong driving the light emitted into the waveguide is non-classical with a significant negativity of the associated Wigner function. We show that both the emission properties and the non-Gaussian character of the light are robust against voids in the atom chain, enabling the experimental study of these effects with present-day technology. Our results offer a route towards novel types of fiber-coupled quantum light sources and an interesting perspective for probing the physics of interacting atomic ensembles through light.

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“…Away from the transmon, i.e., for x = 0, the equations of motion Eq. (5) and Eq. (6) are replaced by…”

Section: Circuit-qed Modelmentioning

confidence: 99%

Semiclassical analysis of dark-state transient dynamics in waveguide circuit QED

Wiegand¹,

Rousseaux

Johansson

2020

Phys. Rev. A

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The interaction between superconducting qubits and one-dimensional microwave transmission lines has been studied experimentally and theoretically in the past two decades. In this work, we investigate the spontaneous emission of an initially excited artificial atom which is capacitively coupled to a semi-infinite transmission line, shorted at one end. This configuration can be viewed as an atom in front of a mirror. The distance between the atom and the mirror introduces a time-delay in the system, which we take into account fully. When the delay time equals an integer number of atom oscillation periods, the atom converges into a dark state after an initial decay period. The dark state is an effect of destructive interference between the reflected part of the field and the part directly emitted by the atom. Based on circuit quantization, we derive linearized equations of motion for the system and use these for a semiclassical analysis of the transient dynamics. We also make a rigorous connection to the quantum optics system-reservoir approach and compare these two methods to describe the dynamics. We find that both approaches are equivalent for transmission lines with a low characteristic impedance, while they differ when this impedance is higher than the typical impedance of the superconducting artificial atom. arXiv:1909.05210v1 [quant-ph]

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Steady-State Generation of Wigner-Negative States in One-Dimensional Resonance Fluorescence

Cited by 17 publications

References 57 publications

Numerical study of Wigner negativity in one-dimensional steady-state resonance fluorescence

Numerical study of Wigner negativity in one-dimensional steady-state resonance fluorescence

Interaction signatures and non-Gaussian photon states from a strongly driven atomic ensemble coupled to a nanophotonic waveguide

Semiclassical analysis of dark-state transient dynamics in waveguide circuit QED

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