Quantum Dynamics of a Few-Photon Parametric Oscillator

Wang, Zhaoyou; Pechal, Marek; Wollack, E. Alex; Arrangoiz-Arriola, Patricio; Gao, Maodong; Lee, Nathan R.; Safavi-Naeini, Amir H.

doi:10.1103/physrevx.9.021049

Cited by 102 publications

(94 citation statements)

References 38 publications

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“…Recently, a two-photon driven dissipative process based on superconducting circuits has been used to generate cat-like states in a microwave cavity [27,28]. Following the proposal by Mirrahimi et al [9], this demonstrates confinement of a state to a manifold mostly spanned by two coherent states with opposite phases.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of transient cat states in degenerate parametric oscillation with and without nonlinear Kerr interactions

et al. 2020

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A cat-state is formed as the steady-state solution for the signal mode of an ideal, degenerate parametric oscillator, in the limit of negligible single-photon signal loss. In the presence of the signal loss, this is no longer true over timescales much longer than the damping time. However, for sufficient parametric nonlinearity, a cat-state can exist as a transient state. In this paper, we study the dynamics of the creation and decoherence of cat-states in degenerate parametric oscillation, both with and without the effect of a Kerr nonlinearity that applies to recent superconductingcircuit experiments generating cat-states in microwave cavities. We determine the time of formation and the lifetime of a cat-state in terms of three dimensionless parameters λ, g and χ. These relate to the driving strength, the parametric nonlinearity relative to signal damping, and the Kerr nonlinearity, respectively. We find that the Kerr nonlinearity has little effect on the threshold parametric nonlinearity (g > 1) required for the formation of cat-states, and does not significantly alter the decoherence time of the cat-state, but can reduce the time of formation. The quality of the cat-state increases with the value g, and can also improved by the Kerr nonlinearity. To verify the existence and quality of the cat-state, we consider several signatures, including interference fringes and negativity, and show how they can be computed. We simulate a superconducting-circuit experiment using published experimental parameters and found good agreement with experimental results, indicating that a nonclassical cat-like state with a small Wigner negativity is generated in the experiment. A stronger nonlinearity would lead to a cat-state with convincing cat-state signatures. Finally, we explore the feasibility of creating large cat-states with a coherent amplitude of 20, corresponding to 400 photons.

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Section: Introductionmentioning

confidence: 99%

Dynamics of transient cat states in degenerate parametric oscillation with and without nonlinear Kerr interactions

et al. 2020

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“…This is typically obtained in pyrochlore spin ices 112 and in honeycombs lattices 113 . Recent studies have further shown the possiblity of toggling the chirality of edge modes by tuning the DMI to exchange interaction ratio 114 or by inducing DMI by time-dependent interactions, or Floquet engineering 114,115 . The recently investigated kagome ice with nanoislands with varying anisotropies 57 could be a starting point to explore the onset of topological bands by pattering the structure on a heavy metal or by studying the next-nearest-neighbors interactions between the nanoislands.…”

Section: E Modellingmentioning

confidence: 99%

Dynamics of reconfigurable artificial spin ice: Toward magnonic functional materials

2020

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Over the past few years, the study of magnetization dynamics in artificial spin ices has become a vibrant field of study. Artificial spin ices are ensembles of geometrically arranged, interacting magnetic nanoislands, which display frustration by design. These were initially created to mimic the behavior in rare earth pyrochlore materials and to study emergent behavior and frustration using two-dimensional magnetic measurement methods. Recently, it has become clear that it is possible to create artificial spin ices, which can potentially be used as functional materials. In this Perspective, we review the resonant behavior of spin ices (which is in the GHz frequency range), focusing on their potential application as magnonic crystals. In magnonic crystals, spin waves are functionalized for logic applications by means of band structure engineering. While it has been established that artificial spin ices can possess rich mode spectra, the applicability of spin ices to create magnonic crystals hinges upon their reconfigurability. Consequently, we describe recent work aiming to develop techniques and create geometries allowing full reconfigurability of the spin ice magnetic state. We also discuss experimental, theoretical, and numerical methods for determining the spectral response of artificial spin ices, and give an outlook on new directions for reconfigurable spin ices. arXiv:1912.07280v1 [cond-mat.mes-hall]

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“…F2 accounts for the π-periodic component of the relative phase distribution and its sign determines the position of the peaks; F4 is the next largest, though it is much less important than F2, except for the region in which F2 passes through zero. The corresponding π 2 -periodic P (φ) distribution for the case where F2 is zero is shown in the inset; the peak-to-peak height is 10 −4 in units of (J/κ2) 4 .…”

Section: Synchronization Of Coupled Oscillatorsmentioning

confidence: 99%

Phase synchronization in coupled bistable oscillators

Jessop

Armour

2020

Phys. Rev. Research

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We introduce a simple model system to study synchronization theoretically in quantum oscillators that are not just in limit-cycle states, but rather display a more complex bistable dynamics. Our oscillator model is purely dissipative, with a two-photon gain balanced by single-and three-photon loss processes. When the gain rate is low, loss processes dominate and the oscillator has a very low photon occupation number. In contrast, for large gain rates, the oscillator is driven into a limit-cycle state where photon numbers can become large. The bistability emerges between these limiting cases with a region of coexistence of limit-cycle and low-occupation states. Although an individual oscillator has no preferred phase, when two of them are coupled together a relative phase preference is generated which can indicate synchronization of the dynamics. We find that the form and strength of the relative phase preference varies widely depending on the dynamical states of the oscillators. In the limit-cycle regime, the phase distribution is π-periodic with peaks at 0 and π, whilst in the low-occupation regime π-periodic phase distributions can be produced with peaks at π/2 and 3π/2. Tuning the coupled system between these two regimes reveals a region where the relative phase distribution has π/2-periodicity. I.arXiv:1906.07603v2 [quant-ph]

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Quantum Dynamics of a Few-Photon Parametric Oscillator

Cited by 102 publications

References 38 publications

Dynamics of transient cat states in degenerate parametric oscillation with and without nonlinear Kerr interactions

Dynamics of transient cat states in degenerate parametric oscillation with and without nonlinear Kerr interactions

Dynamics of reconfigurable artificial spin ice: Toward magnonic functional materials

Phase synchronization in coupled bistable oscillators

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