Squeezed thermal states: the result of parametric down conversion in lossy cavities

Seifoory, Hossein; Doutre, Sean; Dignam, Marc M.; Sipe, J. E.

doi:10.1364/josab.34.001587

Cited by 24 publications

(18 citation statements)

References 36 publications

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“…The second limit we consider is when there is only a single lossy mode that holds the squeezed light. We show that in this limit our multimode theory gives a single-mode squeezed state in agreement with previous work [18]. In the third limit we allow two lossy modes for the squeezed light and show that our theory gives a two-mode squeezed thermal state in agreement with our previous work [19].…”

Section: Limiting Cases and Comparison To Other Worksupporting

confidence: 90%

“…In this section we show that for a single lossy mode the coupled differential equations Eqs. ( 73) -(75) give a squeezing amplitude, squeezing phase, and thermal photon number that agrees with previous work on singlemode squeezed thermal states [18]. In this case, the Takagi factorization of the nonlinear parameter is trivial since there is only one mode.…”

Section: B Lossy Single-mode Squeezed Statessupporting

confidence: 87%

“…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: 82%

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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: Limiting Cases and Comparison To Other Worksupporting

confidence: 90%

Section: B Lossy Single-mode Squeezed Statessupporting

confidence: 87%

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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 provided a detailed analysis in a trapped-ion setup, giving the control laser amplitude, relative phase, and dephasing strength suited to generate a target squeezed state in arbitrary time. The general formalism could also capture, e.g., photonic thermal states squeezed by parametric downconversion in a lossy cavity [84] and is thus adaptable to other experimental platforms. Among possible applications, the generated squeezed states can be used for trapped-ion transport [85], which is relevant to quantum computing architectures.…”

Section: Discussionmentioning

confidence: 99%

Shortcuts to Squeezed Thermal States

Dupays

Chenu

2021

Quantum

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Squeezed state in harmonic systems can be generated through a variety of techniques, including varying the oscillator frequency or using nonlinear two-photon Raman interaction. We focus on these two techniques to drive an initial thermal state into a final squeezed thermal state with controlled squeezing parameters – amplitude and phase – in arbitrary time. The protocols are designed through reverse engineering for both unitary and open dynamics. Control of the dissipation is achieved using stochastic processes, readily implementable via, e.g., continuous quantum measurements. Importantly, this allows controlling the state entropy and can be used for fast thermalization. The developed protocols are thus suited to generate squeezed thermal states at controlled temperature in arbitrary time.

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“…By adjusting the nature of the cavities and the coupling be- tween them, the dispersive properties of the propagating modes can be controlled [18]. Loss, which can destroy the nonclassical properties of light [19][20][21][22][23], can also be controlled to some extent, allowing at least a partial optimization for particular applications. CROW structures have been shown to have potential in generating CV entangled states between two side cavities coupled to the CROW, and as well between spatially separated sites [13].…”

Section: Introductionmentioning

confidence: 99%

Counterpropagating continuous-variable entangled states in lossy coupled-cavity optical waveguides

et al. 2019

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We present an integrated source of counterpropagating entangled states based on a coupled resonator optical waveguide that is pumped by a classical pulsed source incident from above the waveguide. We investigate theoretically the generation and propagation of continuous variable entangled states in this coupled-cavity system in the presence of intrinsic loss. Using a tight-binding approximation, we derive analytic time-dependent expressions for the number of photons in each cavity, as well as for the correlation variance between the photons in different pairs of cavities, to evaluate the degree of quantum entanglement. We also derive simple approximate expressions for these quantities that can be used to guide the design of such systems, and discuss how pumping configurations and physical properties of the system affect the photon statistics and the degree of quantum correlation. * hossein.seifoory@queensu.ca

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Squeezed thermal states: the result of parametric down conversion in lossy cavities

Cited by 24 publications

References 36 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

Shortcuts to Squeezed Thermal States

Counterpropagating continuous-variable entangled states in lossy coupled-cavity optical waveguides

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