Statistics of radiation due to nondegenerate Josephson parametric down-conversion

Arndt, Lisa; Hassler, Fabian

doi:10.1103/physrevb.100.014505

Cited by 13 publications

(21 citation statements)

References 31 publications

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“…12 (0) is never violated here. This is in contrast to a single resonance where photons are created in pairs with one in each of two modes 12,16,19 , thereby generating positive correlations.…”

Section: Mode Correlationsmentioning

confidence: 89%

“…The detection of a photon from one mode means that it is less likely that one will be found in the other. Such effects can be quantified using second order correlation function 3,16,20…”

Section: Mode Correlationsmentioning

confidence: 99%

“…Furthermore, the energy transferred by tunneling Cooper pairs into microwave modes can be tracked by monitoring either the resulting dc current or the microwaves leaking out of the circuit 1 . Recent experimental, [1][2][3][4][5][6] and theoretical work [7][8][9][10][11][12][13][14][15][16][17][18] has explored a wide range of ways in which JJ-cavity systems can be used to generate non-classical microwave states.…”

Section: Introductionmentioning

confidence: 99%

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Josephson photonics with simultaneous resonances

2021

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Inelastic Cooper pair tunneling across a voltage-biased Josephson junction in series with one or more microwave cavities can generate photons via resonant processes in which the energy lost by the Cooper pair matches that of the photon(s) produced. We generalise previous theoretical treatments of such systems to analyse cases where two or more different photon generation processes are resonant simultaneously. We also explore in detail a specific case where generation of a single photon in one cavity mode is simultaneously resonant with the generation of two photons in a second mode. We find that the coexistence of the two resonances leads to effective couplings between the modes which in turn generate entanglement.

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Section: Mode Correlationsmentioning

confidence: 89%

“…The detection of a photon from one mode means that it is less likely that one will be found in the other. Such effects can be quantified using second order correlation function 3,16,20…”

Section: Mode Correlationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Josephson photonics with simultaneous resonances

2021

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Section: Introductionmentioning

confidence: 99%

Josephson Photonics with Simultaneous Resonances

Wood,

Armour,

Lang

2021

Preprint

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Inelastic Cooper pair tunneling across a voltage-biased Josephson junction in series with one or more microwave cavities can generate photons via resonant processes in which the energy lost by the Cooper pair matches that of the photon(s) produced. We generalise previous theoretical treatments of such systems to analyse cases where two or more different photon generation processes are resonant simultaneously. We also explore in detail a specific case where generation of a single photon in one cavity mode is simultaneously resonant with the generation of two photons in a second mode. We find that the competition between the two resonances leads to entanglement of the modes.

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“…In this article we address these issues focussing on a specific cavity-coupled conductor, a JJ biased at sub-gap voltages, where the connection between the flow of an electrical current and the generation of photons is particularly simple and the coupled quantum dynamics especially rich [2,8,9,21,[28][29][30][31][32][33][34][35]. A dc current flows at resonances where the energy available to tunnelling Cooper pairs matches that required to generate one or more cavity photons so that all of the energy from the voltage source is converted into photons [2,16], unlike in other conductors [17,20].…”

Section: Introductionmentioning

confidence: 99%

Electronic and photonic counting statistics as probes of non-equilibrium quantum dynamics

2020

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We analyse the full counting statistics (FCS) of photons flowing in and out of a microwave cavity coupled to a voltage-biased Josephson junction. Tunnelling of Cooper pairs generates a coherent flow of photons into the cavity whilst at the same time photons can also leak out incoherently. We use a very general unitary transformation method to demonstrate that there is a simple connection between the FCS of the charges and the photons in the long time limit, revealing that all the cumulants of the coherent and the incoherent processes match in that limit. We also explore some of the interesting features in the counting statistics of the charges and photons which arise from the strongly nonlinear dynamics of the system. These include very narrow distributions associated with the emergence of coherent transport and regimes where counting of either an odd or an even number of photons leaving the cavity can result in strongly non-classical cat states within the cavity. where the renormalized Josephson energy is defined as = -D E E e J J 2 0 2 D  E E z J z e 4 J J B 1 2 0 1 0 2 0 2[ ( ) ] with z 1 ;1.841), though it rises abruptly at the bifurcation, before slowly dropping away again for even larger E J . In terms of the Figure 2. (a) Distributions for coherent photon transfer into the cavity, P N t ,( ), and incoherent emission from the cavity, P(N, t), at different times. (b) Behaviour of P(N, t) below and above the bifurcation at = E E J J B together with the corresponding Poissonian distributions (dashed); γt=80 (except for = E E 1.6 J J Bwhere γt=60 for clarity). (c) Large deviation functions (for γt=80); the Poissonian case is shown as a dashed line. Δ 0 =0.5 throughout. 7 If instead we use just the part of ρ(0) which is diagonal (in the number state basis) in equation (15) to define our moment generating function, then the counting distribution we obtain remains positive. This is because doing so amounts to defining a generating function for a counting distribution corresponding to two-point projective measurements of the photon number (see section II of [40]).

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Statistics of radiation due to nondegenerate Josephson parametric down-conversion

Cited by 13 publications

References 31 publications

Josephson photonics with simultaneous resonances

Josephson photonics with simultaneous resonances

Josephson Photonics with Simultaneous Resonances

Electronic and photonic counting statistics as probes of non-equilibrium quantum dynamics

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