Observation of 4.2-K equilibrium-noise squeezing via a Josephson-parametric amplifier

Yurke, Bernard; Kaminsky, P. G.; Miller, Ronald E.; Whittaker, Edward A.; Smith, A. D.; Silver, A. H.; Simon, Robert R.

doi:10.1103/physrevlett.60.764

Cited by 227 publications

(170 citation statements)

References 22 publications

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“…To reconstruct the output field, we first deconvolve D [|0 0|] (S) with Q vacuum to obtain 1 Gc P HEMT and then deconvolve D [ρ] (S) with 1 Gc P HEMT to obtain Q JPA . Both deconvolutions are performed in Matlab using the LucyRichardson method [78].…”

Section: Discussionmentioning

confidence: 99%

“…1(b), the lumped-element JPA is simply a capacitively shunted Josephson junction coupled to a transmission line [1,7]. The Hamiltonian of this standard circuit iŝ…”

Section: A Jpa Circuitmentioning

confidence: 99%

“…Following the path of Yurke's et al work in the late 1980s [1][2][3], several designs of Josephson junction-based parametric amplifiers (JPAs) have been introduced [4][5][6][7][8][9][10][11]. In addition to high-fidelity superconducting qubit readout leading to the observation of quantum jumps [12,13], this new generation of near quantumlimited amplifiers have opened up new experimental possibilities such as the creation and tomography of squeezed microwave light [14][15][16], and detailed weak measurement experiments [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Effect of Higher-Order Nonlinearities on Amplification and Squeezing in Josephson Parametric Amplifiers

et al. 2017

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Single-mode Josephson junction-based parametric amplifiers are often modeled as perfect amplifiers and squeezers. We show that, in practice, the gain, quantum efficiency, and output field squeezing of these devices are limited by usually neglected higher-order corrections to the idealized model. To arrive at this result, we derive the leading corrections to the lumped-element Josephson parametric amplifier of three common pumping schemes: monochromatic current pump, bichromatic current pump, and monochromatic flux pump. We show that the leading correction for the last two schemes is a single Kerr-type quartic term, while the first scheme contains additional cubic terms. In all cases, we find that the corrections are detrimental to squeezing. In addition, we show that the Kerr correction leads to a strongly phase-dependent reduction of the quantum efficiency of a phase-sensitive measurement. Finally, we quantify the departure from ideal Gaussian character of the filtered output field from numerical calculation of third and fourth order cumulants. Our results show that, while a Gaussian output field is expected for an ideal Josephson parametric amplifier, higher-order corrections lead to non-Gaussian effects which increase with both gain and nonlinearity strength. This theoretical study is complemented by experimental characterization of the output field of a flux-driven Josephson parametric amplifier. In addition to a measurement of the squeezing level of the filtered output field, the Husimi Q-function of the output field is imaged by the use of a deconvolution technique and compared to numerical results. This work establishes nonlinear corrections to the standard degenerate parametric amplifier model as an important contribution to Josephson parametric amplifier's squeezing and noise performance.

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Section: Discussionmentioning

confidence: 99%

“…1(b), the lumped-element JPA is simply a capacitively shunted Josephson junction coupled to a transmission line [1,7]. The Hamiltonian of this standard circuit iŝ…”

Section: A Jpa Circuitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of Higher-Order Nonlinearities on Amplification and Squeezing in Josephson Parametric Amplifiers

et al. 2017

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“…Nevertheless, the considered qubit constitutes an open system. Our choice of a finite bosonic environment is motivated by recent progress in quantum engineering of non-classical electromagnetic fields which can be prepared in various states, both in the optical [22] and in the microwave [23] energetic regimes. As an example, we consider a single boson mode.…”

Section: Model B: Qubit Coupled To a Finite Environmentmentioning

confidence: 99%

Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study

2011

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The time evolution of the trace distance between two states of an open quantum system may increase due to initial system-environment correlations, thus exhibiting a breakdown of distance contractivity of the reduced dynamics. We analyze how the time evolution of the distance depends on the chosen distance measure. Here we elucidate the behavior of the trace distance, the HilbertSchmidt distance, the Bures distance, the Hellinger distance and the quantum Jensen-Shannon divergence for two system-environment setups, namely a qubit bi-linearly coupled to an infinite and a finite size environment with the latter composed of harmonic oscillators.

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“…The next step in this line of research is to consider nonclassical electromagnetic fields [15,16] which are carefully prepared in a particular quantum state, and study their effect on quantum interference [9,10]. In this case it is shown that the quantum noise in the electromagnetic field destroys partly the electron interference fringes.…”

Section: Introductionmentioning

confidence: 99%

Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields

Tsomokos

Chong

Vourdas

2005

J. Opt. B: Quantum Semiclass. Opt.

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Abstract. The interaction of mesoscopic interference devices with nonclassical electromagnetic fields is studied. The external quantum fields induce a phase factor on the electric charges. This phase factor, which is a generalization of the standard Aharonov-Bohm phase factor, is in the case of nonclassical electromagnetic fields a quantum mechanical operator. Its expectation value depends on the density matrix describing the nonclassical photons and determines the interference. Several examples are discussed, which show that the quantum noise of the nonclassical photons destroys slightly the electron interference fringes. An interesting application arises in the context of distant electron interference devices, irradiated with entangled photons. In this case the interfering electrons in the two devices become entangled. The same ideas are applied in the context of SQUID rings irradiated with nonclassical electromagnetic fields. It is shown that the statistics of the Cooper pairs tunneling through the Josephson junction depend on the statistics of the photons.

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Observation of 4.2-K equilibrium-noise squeezing via a Josephson-parametric amplifier

Cited by 227 publications

References 22 publications

Effect of Higher-Order Nonlinearities on Amplification and Squeezing in Josephson Parametric Amplifiers

Effect of Higher-Order Nonlinearities on Amplification and Squeezing in Josephson Parametric Amplifiers

Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study

Electron interference in mesoscopic devices in the presence of nonclassical electromagnetic fields

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