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T. H. A. van der Reep

Publications and source records attributed to T. H. A. van der Reep.

6 recordsLinked to original sources

Alignment conditions of the human eye for few-photon vision experiments

In experiments probing human vision at the few-photon level, precise alignment of the eye is necessary such that stimuli reach the most sensitive region of the retina. However, in literature there seems to be no consensus on the optimal eye alignment for such experiments. Typically, experiments are performed by presenting stimuli nasally or temporally, but the angle under which the few-photon pulses are presented varies between 7 deg and 23 deg. Here we combine a 3-dimensional eye model with retinal rod density measurements from literature in a ray tracing simulation to study the optimal eye alignment conditions and necessary alignment precision. We find that stimuli, directed at the eye's nodal point, may be best presented under an inferior angle of 12.6 deg with respect to the visual axis. Defining a target area on the retina with a radius of 0.5 mm around the optimum location, we find the horizontal and vertical angular precision should be better than 0.90 deg given a horizontal and vertical translational precision of $\pm$ 1 mm and a depth translational precision of $\pm$ 5 mm.

physics.optics↗

Mesoscopic Hamiltonian for Josephson travelling-wave parametric amplifiers

We present a theory describing parametric amplification in a Josephson junction embedded transmission line. We will focus on the process of four-wave mixing under the assumption of an undepleted pump. However, the approach taken is quite general, such that a different parametric process or the process under different assumptions is easily derived. First the classical theory of the coupled-mode equations as presented by O'Brien et al. [Phys. Rev. Lett. $\mathbf{113}:157001$] is shortly reviewed. Then a derivation of the full quantum theory is given using mesoscopic quantisation techniques in terms of discrete mode operators. This results in a Hamiltonian that describes the process of parametric amplification. We show that the coupled-mode equations can be derived from this Hamiltonian in the classical limit and elaborate on the validity of the theory.

quant-ph↗

Direct measurement of darkness using a standard single-photon avalanche photodiode

In experiments requiring extreme darkness, such as experiments probing the limits of human vision, assessment of the background photon flux is essential. However, direct measurement thereof with standard single photon detectors is challenged by dark counts and their fluctuations. Here we report an experiment and detailed statistical analysis of a direct measurement of darkness in a dedicated dark chamber suitable for human vision experiments, only using a standard single photon detector and a mechanical shutter. From a Bayesian analysis of $616$ h of data, we find substantial to decisive evidence for absolute darkness (depending on choice of prior distribution) based on the Savage-Dickey ratio, and a light level $<0.039$ cnt/s (posterior $0.95$-highest density interval).

quant-ph↗

Quantum detector tomography applied to the human visual system: a feasibility study

We show that quantum detector tomography can be applied to the human visual system to explore human perception of photon number states. In detector tomography, instead of using very hard to produce photon number states, the response of a detector to light pulses with known photon statistics of varying intensity is recorded, and a model is fitted to the experimental outcomes thereby inferring the detector's photon number state response. Generally, light pulses containing a Poisson-distributed number of photons are utilised, which are very easy to produce in the lab. This technique has not been explored to study the human visual system before, because it usually requires a very large number of repetitions not suitable for experiments on humans. Yet, in the present study we show that detector tomography is feasible for human experiments. Assuming a simple model for this accuracy, the results of our simulations show that detector tomography is able to reconstruct the model using Bayesian inference with as little as $5000$ trials. We then optimize the experimental parameters in order to maximise the probability of showing that the single-photon accuracy is above chance. As such, our study opens the road to study human perception on quantum level.

quant-ph↗

An experimental proposal to study collapse of the wave function in travelling-wave parametric amplifiers

The read-out of a microwave qubit state occurs using an amplification chain that enlarges the quantum state to a signal detectable with a classical measurement apparatus. However, at what point in this process is the quantum state really 'measured'? In order to investigate whether the `measurement' takes place in the amplification chain, in which a parametric amplifier is often chosen as the first amplifier, it is proposed to construct a microwave interferometer that has such an amplifier added to each of its arms. Feeding the interferometer with single photons, the interference visibility depends on the gain of the amplifiers and whether a measurement collapse has taken place during the amplification process. The visibility as given by standard quantum mechanics is calculated as a function of gain, insertion loss and temperature. We find a visibility of 1/3 in the limit of large gain without taking into account losses, which is reduced to 0.26 in case the insertion loss of the amplifiers is 2.2 dB at a temperature of 50 mK. It is shown that if the wave function collapses within the interferometer, the measured visibility is reduced compared to its magnitude predicted by standard quantum mechanics once this collapse process sets in.

quant-ph↗

Measurement of the transmission secondary electron yield of nanometer-thick films in a prototype Timed Photon Counter

We measure the transmission secondary electron yield of nanometer-thick Al$_2$O$_3$/TiN/Al$_2$O$_3$ films using a prototype version of a Timed Photon Counter (TiPC). We discuss the method to measure the yield extensively. The yield is then measured as a function of landing energy between $1.2$ and $1.8$ keV and found to be in the range of $0.1$ ($1.2$ keV) to $0.9$ ($1.8$ keV). These results are in agreement to data obtained by a different, independent method. We therefore conclude that the prototype TiPC is able to characterise the thin films in terms of transmission secondary electron yield. Additionally, observed features which are unrelated to the yield determination are interpreted.

physics.ins-det↗