Signal-to-pump back action and self-oscillation in double-pump Josephson parametric amplifier

Kamal, Archana; Marblestone, Adam H.; Devoret, Michel

doi:10.1103/physrevb.79.184301

Cited by 59 publications

(63 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We now consider an alternative scheme with two current pumps of frequencies ω 1 and ω 2 that are chosen such that ω 1 + ω 2 ≈ 2ω 0 [34]. As shown in Fig.…”

Section: Bichromatic Current Pumpmentioning

confidence: 99%

“…We derive the corrections to the JPA Hamiltonian for the single-mode and single-port lumped-element JPA [7,25]. Using the formalism of quantum optics, we compare three frequently used pumping schemes of the JPA: monochromatic current pump [7,33], bichromatic current pump [34], and monochromatic flux pump [5,35,36]. We derive the leading higher-order corrections for each and study numerically their effect on gain, quantum efficiency, squeezing level and gaussianity of the output field.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

et al. 2017

View full text Add to dashboard Cite

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.

show abstract

“…We now consider an alternative scheme with two current pumps of frequencies ω 1 and ω 2 that are chosen such that ω 1 + ω 2 ≈ 2ω 0 [34]. As shown in Fig.…”

Section: Bichromatic Current Pumpmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Consequently, the optomechanical interaction in units of the squeezed-cavity-mode photons can be enhanced, e.g., into the single-photon strongcoupling regime, by tuning the intensity (or frequency) of the driving field that induce the squeezing. In addition, we show that the noise of the squeezed cavity mode can be suppressed by introducing a broadbandsqueezed vacuum [42,43] with a reference phase matching the phase of the driving field. Under these conditions of enhanced coupling strength and suppressed noise, it should be feasible to implement single-photon quantum processes even in an originally weakly-coupled OMS.…”

mentioning

confidence: 99%

Squeezed Optomechanics with Phase-Matched Amplification and Dissipation

et al. 2015

View full text Add to dashboard Cite

We investigate the nonlinear interaction between a squeezed cavity mode and a mechanical mode in an optomechanical system (OMS) that allows us to selectively obtain either a radiation-pressure coupling or a parametric-amplification process. The squeezing of the cavity mode can enhance the interaction strength into the single-photon strong-coupling regime, even when the OMS is originally in the weak-coupling regime. Moreover, the noise of the squeezed mode can be suppressed completely by introducing a broadband-squeezed vacuum environment that is phase-matched with the parametric amplification that squeezes the cavity mode. This proposal offers an alternative approach to control OMS using a squeezed cavity mode, which should allow single-photon quantum processes to be implemented with currently available optomechanical technology. Potential applications range from engineering single-photon sources to nonclassical phonon states. Cavity optomechanics has progressed enormously in recent years [1], with achievements including cooling of mechanical modes to their quantum ground states [2,3], demonstration of optomechanically-induced transparency [4,5], coherent state transfer between cavity and mechanical modes [6][7][8][9], and the realization of squeezed light [10][11][12]. In these experiments, a strong linearized optomechanical coupling is obtained under the condition of strong optical driving. However, the intrinsic nonlinearity of the radiation-pressure coupling in these OMSs is negligible [13][14][15][16][17][18][19].To explore the intrinsic nonlinearity of the optomechanical interaction, much theoretical research has recently focused on the single-photon strong-coupling regime, where the single-photon optomechanicalcoupling strength g 0 exceeds the cavity decay rate κ. In this regime, several interesting single-photon quantum processes are predicted, for both the optical and the mechanical modes. For example: photon blockade, the preparation of the nonclassical states of the optical and mechanical modes, multi-phonon sidebands, and quantum state reconstruction of the mechanical oscillator [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. However, these effects have not yet been realized experimentally due to the intrinsically weak radiation-pressure coupling in current OMSs, i.e., g 0 κ. To achieve g 0 ∼ κ, it has been proposed to use the collective mechanical modes in transmissive scatter arrays [35,36]. The ratio g 0 /κ may also be increased in superconducting circuits using the Josephson effect, but such devices are limited to electromechanical systems [37][38][39]. Moreover, postselected weak measurements [40] and optical coalescence [41] could also be used to increase the effective linear and quadratic optomechanical interactions, respectively.Here we present a method to reach the single-photon strong-coupling regime in an OMS, which is originally in the weak-coupling regime. In contrast to normal optomechanics, we focus on the nonlinear interaction between a parametric-amplification-squeezed ...

show abstract

“…The high frequency cavity, with ω m /2π = 8.174 GHz and a lifetime of 30 ns, serves only as a fast readout of the qubit state. In order to perform a high-fidelity single-shot dispersive readout of the qubit, we use a Josephson bifurcation amplifier (JBA) operating in a double-pumped mode [23][24][25] as the first stage of amplification. The low frequency cavity, with ω s /2π = 7.216 GHz and a lifetime of τ 0 = 55 µs, stores the photon states which are measured and manipulated.…”

mentioning

confidence: 99%

Tracking photon jumps with repeated quantum non-demolition parity measurements

Sun

Petrenko

Leghtas

et al. 2014

Nature

255

298

View full text Add to dashboard Cite

Quantum error correction (QEC) is required for a practical quantum computer because of the fragile nature of quantum information [1]. In QEC, information is redundantly stored in a large Hilbert space and one or more observables must be monitored to reveal the occurrence of an error, without disturbing the information encoded in an unknown quantum state. Such observables, typically multi-qubit parities such as σ , must correspond to a special symmetry property inherent to the encoding scheme. Measurements of these observables, or error syndromes, must also be performed in a quantum non-demolition (QND) way and faster than the rate at which errors occur. Previously, QND measurements of quantum jumps between energy eigenstates have been performed in systems such as trapped ions [2][3][4], electrons [5], cavity quantum electrodynamics (QED) [6, 7], nitrogen-vacancy (NV) centers [8,9], and superconducting qubits [10,11]. So far, however, no fast and repeated monitoring of an error syndrome has been realized. Here, we track the quantum jumps of a possible error syndrome, the photon number parity of a microwave cavity, by mapping this property onto an ancilla qubit. This quantity is just the error syndrome required in a recently proposed scheme for a hardware-efficient protected quantum memory using Schrödinger cat states in a harmonic oscillator [12]. We demonstrate the projective nature of this measurement onto a parity eigenspace by observing the collapse of a coherent state onto even or odd cat states. The measurement is fast compared to the cavity lifetime, has a high single-shot fidelity, and has a 99.8% probability per single measurement of leaving the parity unchanged. In combination with the deterministic encoding of * current address: Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing, P. R. China † current address: Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria; Institut für Quantenoptik und Quanteninformation,Österreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, A-6020 Innsbruck, Austria quantum information in cat states realized earlier [13,14], our demonstrated QND parity tracking represents a significant step towards implementing an active system that extends the lifetime of a quantum bit.Besides their necessity in quantum error correction and quantum information, QND measurements play a central role in quantum mechanics. The application of an ideal projective QND measurement yields a result corresponding to an eigenvalue of the measured operator, and projects the system onto the eigenstate associated with that eigenvalue. Moreover, the measurement must leave the system in that state, so that subsequent measure- Experimental device and parity measurement protocol (P) of a photon state. (a) Bottom half of the device containing a transmon qubit located in a trench and coupled to two waveguide cavities. The low frequency cavity, with ωs/2π = 7.216 GHz and a lifetime of τ0 = 5...

show abstract

Signal-to-pump back action and self-oscillation in double-pump Josephson parametric amplifier

Cited by 59 publications

References 42 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

Squeezed Optomechanics with Phase-Matched Amplification and Dissipation

Tracking photon jumps with repeated quantum non-demolition parity measurements

Contact Info

Product

Resources

About