Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime

Quesada, N.; Helt, L. G.; Menotti, M.; Liscidini, M.; Sipe, J. E.

doi:10.48550/arxiv.2110.04340

Cited by 4 publications

(11 citation statements)

References 125 publications

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“…In the limit that the modes are lossless, our formalism reproduces the results for a multimode squeezed vacuum state given by N. Quesada et al [16]. Also, in the case of only one or two lossy modes, our multimode formalism reproduces the results of previous work [17][18][19].…”

Section: Introductionsupporting

confidence: 83%

“…The first limit is when the modes are all lossless, such that the imaginary part of every quasimode is equal to zero (γ m = 0). In this limit we show that our theory gives a multimode squeezed vacuum state, and show that the squeezing parameter and squeezing phase we obtain agree with other work [16]. The second limit we consider is when there is only a single lossy mode that holds the squeezed light.…”

Section: Limiting Cases and Comparison To Other Worksupporting

confidence: 77%

“…We note that this state has the same form one obtains in the weak pump limit (i.e. α 1) by keeping only the first-order terms in the Dyson or Magnus expansion of the evolution operator, a result that is also noted by Quesada N. et al [16]. For lossless modes the expectation values of Eq.…”

Section: A Lossless Modessupporting

confidence: 74%

“…( 237) -(238) in Ref. [16]). We note that this state has the same form one obtains in the weak pump limit (i.e.…”

Section: A Lossless Modesmentioning

confidence: 99%

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A simple way to incorporate loss when modelling multimode entangled state generation

Vendromin,

Dignam

2021

Preprint

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We show that the light generated via spontaneous four-wave mixing or parametric down conversion in multiple, coupled, lossy cavities is a multimode squeezed thermal state. Requiring this state to be the solution of the Lindblad master equation results in a set of coupled first-order differential equations for the time-dependent squeezing parameters and thermal photon numbers of the state. The benefit of this semi-analytic approach is that the number of coupled equations scales linearly with the number of modes but is independent of the number of photons generated. With this analytic form of the state, correlation variances are easily expressed as analytic functions of the timedependent mode parameters. Thus, our solution makes it computationally tractable and relatively straight forward to calculate the generation and evolution of multimode entangled states in multiple coupled, lossy cavities, even when there are a large number of modes and/or photons.

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Section: Introductionsupporting

confidence: 83%

Section: Limiting Cases and Comparison To Other Worksupporting

confidence: 77%

Section: A Lossless Modessupporting

confidence: 74%

“…( 237) -(238) in Ref. [16]). We note that this state has the same form one obtains in the weak pump limit (i.e.…”

Section: A Lossless Modesmentioning

confidence: 99%

See 2 more Smart Citations

A simple way to incorporate loss when modelling multimode entangled state generation

Vendromin,

Dignam

2021

Preprint

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show abstract

“…( 12), and separates the linear terms from the ones generated by the nonlinear polarization. This standard procedure can be found, e.g., in [42], hence we will only report the final result.…”

Section: Mentummentioning

confidence: 99%

Mitigating indistinguishability issues in photon pair sources by delayed-pump Intermodal Four Wave Mixing

Borghi,

Pavesi

2022

Preprint

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Large arrays of independent, pure and identical heralded single photon sources are ubiquitous in today's Noise Intermediate Scale Quantum devices (NISQ). In the race towards the development of increasingly ideal sources, delayed-pump Intermodal Four Wave Mixing (IFWM) in multimode waveguides has recently demonstrated record performances in all these metrics, becoming a benchmark for spontaneous sources in integrated optics. Despite this, fabrication imperfections still spoil the spectral indistinguishability of photon pairs from independent sources. Here we show that by tapering the width of the waveguide and by controlling the delay between the pump pulses, we add spectral tunability to the source while still inheriting all the record metrics of the IFWM scheme. This feature is used to recover spectral indistinuishability in presence of fabrication errors. Under realistic tolerances on the waveguide dimensions, we predict > 99.5% indistinguishability between independent sources on the same chip, and a maximum degradation of the Heralded Hong Ou Mandel visibility < 0.35%.

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Modeling nonlinear optics in lossy microring systems: two strategies

Banic,

Zatti,

Liscidini

et al. 2021

Preprint

Self Cite

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We present two complementary strategies for modeling nonlinear quantum optics in realistic resonant integrated optical devices, where scattering loss is present. In the first strategy, we model scattering loss as an effective absorption; in the second, we employ a Hamiltonian treatment, with the loss modelled as a coupling to a 'phantom' channel. As an example, we use these two approaches to model spontaneous four-wave mixing in (i) a ring-channel system and (ii) an add-drop system. We present the rates of photon pairs, broken pairs, and lost pairs for both systems, as well as the full biphoton wavefunction (BWF) including the effects of scattering. We find that for a high-finesse resonator coupled to an arbitrary number of channels, the full BWF can be extracted from the BWF associated with photon pairs in an experimentally accessible output channel.

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Beyond photon pairs: Nonlinear quantum photonics in the high-gain regime

Cited by 4 publications

References 125 publications

A simple way to incorporate loss when modelling multimode entangled state generation

A simple way to incorporate loss when modelling multimode entangled state generation

Mitigating indistinguishability issues in photon pair sources by delayed-pump Intermodal Four Wave Mixing

Modeling nonlinear optics in lossy microring systems: two strategies

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