Quantum optical coherence: From linear to nonlinear interferometers

Luo, Kai‐Hong; Santandrea, Matteo; Stefszky, Michael; Sperling, Jan; Massaro, Marcello; Ferreri, Alessandro; Sharapova, Polina R.; Herrmann, Harald; Silberhorn, Christine

doi:10.1103/physreva.104.043707

Cited by 16 publications

(5 citation statements)

References 47 publications

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“…Coherently, such values correspond to the maximal value of the oscillation amplitude and the arrest of the oscillating wall respectively, see Equation (26). Since the DCE as a squeezing phenomenon stimulates the creation of photon pairs, and the above-described modulation of N 0 involves both photons at the same time, by scanning the phase θ we can reproduce the interference pattern expected by a SU(1,1) interferometer characterized by two optical parametric amplifiers in the low gain regime [58][59][60][61]. We leave the study of this aspect to future work.…”

Section: A Considerationsmentioning

confidence: 82%

Interplay between optomechanics and the dynamical Casimir effect

Ferreri¹,

Pfeifer²,

Wilhelm³

et al. 2022

Preprint

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We develop a model of a quantum field confined within a cavity with a movable wall where the position of the wall is quantized. We obtain a full description of the dynamics of both the quantum field and the confining wall depending on the initial state of the whole system. Both the reaction and backreaction of the field on the wall, and the wall on the field, can be taken into account, as well as external driving forces on both the cavity and the wall. The model exactly reproduces the resonant cavity mode stimulation due to the periodic motion of the mirror (dynamical Casimir effect), as well as the standard radiation pressure effects on the quantized wall (optomechanics). The model also accounts for the interplay of the two scenarios. In addition, modulated drive of the wall can be used to induce specific single-and two-mode quantum gates on selected modes of the field. Finally, the time evolution of the radiation force shows the interplay between static and dynamical Casimir effect.

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Section: A Considerationsmentioning

confidence: 82%

Interplay between optomechanics and the dynamical Casimir effect

Ferreri¹,

Pfeifer²,

Wilhelm³

et al. 2022

Preprint

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“…On the other hand, if we measure an exclusive single-photon event, we know that the photon must have been generated in the first stage because internal losses can only affect the pairs generated in the first stage. Knowing which stage generated the photon pair breaks the coherence of the system [23] and thus destroys the interference between the two stages-often referred to as which-crystal interference [43,44]. This is analogous to what happens in Young's double slit experiment, where knowledge of which path the photon has taken erases the interference pattern on the screen.…”

Section: Perfect Detection Efficiencymentioning

confidence: 89%

Lossy SU(1,1) interferometers in the single-photon-pair regime

Santandrea

Luo

Stefszky

et al. 2023

Quantum Sci. Technol.

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The success of quantum technologies is intimately connected to the possibility of using them in real-world applications. This requires the system to be comprehensively modeled including various relevant experimental parameters. To this aim, in this paper, we study the performance of lossy SU(1,1) interferometers in the single-photon pair regime, posing particular attention to the different amount of information contained in the measurement of single counts and of coincidences at the output of the interferometer. To this aim, we derive the classical Fisher information of both single and coincidence events, and study it as a function of the internal and external losses of the system.Our analysis shows that, in the absence of external losses, the Fisher information of the coincidence events is always higher or equal than the one of single events. On the other hand, in the presence of external losses, the Fisher information of the singles can increase above the one of the coincidences. Moreover, our analysis shows that coincidence measurement can be exploited to partially mitigate the effect of internal losses in the absence of external losses. Finally, comparing SU(1,1) and classical SU(2) interferometers, we find that the former can outperform the classical systems when the internal losses are above 50%.

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“…III. In general, the transition from a linear to nonlinear interferometry offers coherence features which are distinctively different from their linear counterparts [73].…”

Section: B a Nonlinear Coin: From Classical To Quantum Interferencementioning

confidence: 99%

Driven Gaussian quantum walks

Held,

Engelkemeier,

et al. 2021

Preprint

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Quantum walks function as essential means to implement quantum simulators, allowing one to study complex and often directly inaccessible quantum processes in controllable systems. In this contribution, the new notion of a driven Gaussian quantum walk is introduced. In contrast to typically considered quantum walks in optical settings, we describe the operation of the walk in terms of a nonlinear map rather than a unitary operation, e.g., by replacing a beam-splitter-type coin with a two-mode squeezer, being a process that is controlled and driven by a pump field. This opens previously unattainable possibilities for kinds of quantum walks that include nonlinear elements as core components of their operation, vastly extending the range of applications of quantum simulators. A full framework for driven Gaussian quantum walks is developed, including methods to characterize nonlinear, quantum, and quantum-nonlinear effects in measurements. Moreover, driven Gaussian quantum walks are compared with their classically interfering and linear counterparts, which are based on classical coherence of light rather than quantum superpositions of states. In particular, the generation and amplification of highly multimode entanglement, squeezing, and other quantum effects are studied over the duration of the nonlinear walk. Importantly, we prove the quantumness of the dynamics itself, regardless of the input state. Furthermore, nonlinear properties of driven Gaussian quantum walks are explored, such as amplification that leads to an ever increasing number of correlated quantum particles, constituting a source of new walkers during a walk. Therefore, the concept for quantum walks is proposed that leads to directly accessible quantum phenomena and renders the quantum simulation of nonlinear processes possible.

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Quantum optical coherence: From linear to nonlinear interferometers

Cited by 16 publications

References 47 publications

Interplay between optomechanics and the dynamical Casimir effect

Interplay between optomechanics and the dynamical Casimir effect

Lossy SU(1,1) interferometers in the single-photon-pair regime

Driven Gaussian quantum walks

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