When we say that two particles are quantumly entangled, we mean that the particles cannot be looked at independently even when separated by great distances. This means that if we measure one particle, we will automatically get the measurements of the other.

This concept is spooky, and can be useful in studying the nature of the universe. We can also use this as a form of instant communication. If we take a quantum-entangled photon pair and separate them, altering one would alter the other automatically. Hence we would be able to send information automatically.

To be able to use quantum entangled particles to help us communicate over large distances instantaneously,  we would need to first transfer these particles over large distances. The problem with doing so currently is that on the way, sometimes entanglement is lost!

 

To fix this issue, scientists have proposed the use of quantum repeaters. These are devices which accept an entangled photon, save its entanglement in a cluster of atoms, and then emit another photon which is now the new quantum-entangled photon. In a way, these are kind of like pit-stops for the quantum-entangled photons as they travel.

The way the entanglement of a photon can be saved onto a cluster of atoms is tricky: it can involve the photon mapping its phase (the current point in the wave of a light wave) onto atoms. The phase that is mapped onto the atom is called the geometric phase. This phase is very interesting as it stores information about the previous polarisation states — the different orientations of how the electric field in light vibrates — that the light has been through.

This is very peculiar and amazing! By saying that the light carries  geometric phase which saves information about the previous polarisation states the light has been through, we are saying that light knows about its history. For example, when you travel from Wooster to NYC and back, and when you travel from Wooster to Florida and back, you can distinguish both journeys. This is because they were both different paths, although your final start and end points were the same (Wooster). The geometric phase in light shows that even light stores the information needed to distinguish the different previous polarization paths. Additionally, with the geometric phase, we can determine if light has been through a path of polarisation states or not. For example we can distinguish between a person who has travelled from Wooster to NYC and back, and another person who has stayed in Wooster. All this information about the photon’s polarisation path history is given by the geometric phase!

 

For my Junior Independent Study, I studied how light can retain memory using geometrical phase. A previous Wooster Student, Drew King-Smith, began this study using a model with simple constraints. Working with Dr. Cody Leary, I expanded upon this model by considering factors which would make the model more applicable to our equipment in the laboratory. Through the model we were able to produce predictions for numerous interferograms (interference patterns of light), which tell us about the geometrical phase. These predictions can guide future experimental work in the verification of these interferograms. By doing so we would learn more about the physics of quantum memory!

 

 

 

 

 

Absorption spectroscopy is popular form of chemical identification and characterization. Typically, light is passed through a sample once and the intensity of the light after passing through the sample is measured. If light is absorbed by a sample, we expect the amount absorb to increase if the concentration of the solution or the thickness of the solution is increased. Absorbance is defined so that we expect the amount of light absorbed to have a linear dependence of thickness and concentration.

Sometimes samples do not absorb a lot of light, so measuring their weak absorbance is difficult. To solve this problem, cavity-enhanced absorption spectroscopy can be used. This method uses a set of mirrors placed around the sample to reflect light through the sample multiple times. This effectively increases the thickness of the sample, making the observed absorbance stronger and more easily measurable. However, this method has been seen to break the linear relation between absorbance and concentration. Instead of seeing a straight line when plotting absorbance versus concentration, they see a curve.

My junior independent study work was to investigate the absorbance dependence on thickness. I used a cavity-enhanced method and a typical single pass method to take absorbance measurements for varied sample thickness. I varied the thickness by using different sizes of sample container. From my experiments, I saw the predicted linear behavior for the single pass data. However, for my cavity-enhanced data I saw a curved trend like had been observed previously for varied concentration. This tells me that the amount that the cavity enhances the measurement depends on how much absorber or sample the light must pass through.

My name is Collin Hendershot. For my Junior Independent Study project I observed the effect of concavity on the aerodynamics of high speed automobiles. The two important aerodynamic characteristics of automobiles are downforce and drag. Downforce is the force of air pushing a car toward the road and drag is the force on the car from air opposing the forward motion of the car. Downforce increases a car’s stability and turning speed, and drag decreases a car’s top speed and fuel economy. An aerodynamically efficient car will have a high downforce to drag ratio. To increase a vehicles downforce designers often include a rear wing on the car. I designed 5 different rear wings with a leading edge defined by the function

which creates wings with increasing concavity as the value for a increases (Figure 1). The downforce and drag for each wing was recorded and then the downforce to drag ratio of each wing was calculated. The results are pictured in Figure 2 and the a = 2 wing design has the largest downforce to drag ratio, 3.8, therefore it is the most efficient wing design.

I have always thought that one of the most outdated technologies we currently employ in the large scale is propellers for ships. While this isn’t a critical fault in our world it does lead to a lot of inefficiencies. Modern trade ships and super-tankers use millions of tons of fuel annually. This does a great deal of damage to the environment. Air travel was also largely propeller based at its inception, but since then several new types of engine have been developed. Most notably the Scramjet engine ingests air and mixes it with fuel at supersonic speed, exhausting the combustion results to produce thrust. This is a highly effective method of producing thrust, one which has been able to produce speeds of Mach 12. For reference, at Mach 12 one could travel the entire distance of the equator in less than three hours. I believe that it is possible to take some of the principles of the Scramjet engine and develop a version for generating thrust underwater.

My project was to simulate this new kind of underwater propulsion system to determine whether or not it could feasibly operate. I did this by working with legacy code provided by another student that simulated air flowing through a channel. I modified the code to simulate water flowing through the channel, and also added a simple structure to represent a simple Scramjet style water propulsion device, shown above as the red boxes. The simulated Scramjet water propulsion system used heat as a fuel source, this is done by simulating the result of water boiling so quickly it evaporates with explosive force. This is shown with the gray boxes in the center, within each of these the simulated water gets “kicked” in a random direction and gains a high speed. The results of my simulation were inconclusive but I did show that the Scramjet Structure had an effect on the operation of the system. I believe with enough tweaking this simulation would show that such a system would operate in the real world.

Solar sails utilize the change in momentum of photons as a means of propulsion. This allows spacecraft with solar sails to significantly reduce their mass, since they do not have to carry onboard fuel (in comparison to traditional rocket-based spacecraft). This project aims at designing a program to display the dynamics of a solar-sail-based spacecraft in the presence the Sun and Earth.

Depending on the orientation of the sail, it is possible to sail towards or away from the Sun and achieve a variety of orbits. The video shown above displays the program, with the Sun in red, the Earth in blue, the sail in white, the sail’s previous position in purple, and the sail’s position with respect to the Sun in yellow.

This project uses an electronic circuit to demonstrate something called stochastic resonance. Stochastic resonance (SR) is present many places in nature–from dictating the timing of ice ages to aiding in fish hearing. So, what is it? SR is simply when a random noise signal serves to boost the strength of another, cleaner signal. Audio is a good way to think about this. Imagine you are listening to a song, but the volume is so low that you cannot hear it. Then you add another speaker playing random noise. You start to turn up the noise, and at a certain point, you start to hear the song. This is pretty strange, and quite counterintuitive. Usually adding noise drowns out other sound, so how could random noise serve to boost a sound? This project seeks to examine that question by observing stochastic resonance in a circuit. Every signal running through the wires I used could easily be sent to a speaker and played aloud, as all of the frequencies involved are within the auditory range.

The circuit used here is called a Schmitt trigger. Its purpose here is to allow a signal to pass through if it is strong enough, but block weaker signals. The point at which the signal is strong enough to pass through the Schmitt trigger is called the threshold voltage. One other side effect of the Schmitt trigger is that the output signal will be a square wave rather than a sine wave. I ran a strong signal through at first to confirm that the circuit was operating as it should, then I ran a weak signal through and saw that the output disappeared. At this point, we have a weak signal entering the circuit, but no output, just like when you were playing a song, but it was too weak of a signal for your ear to register. So, I then added random noise to my signal. The random noise makes the input sign wave cover a larger range of voltages, puncturing the threshold voltage, and once again allowing the circuit to output a square wave. This is stochastic resonance in a hysteretic circuit.

Using this circuit I was able to determine the best possible noise volume to cause SR in the given parameters. The circuit itself could be used to make a hearing aid that listens for cleaner weak signals and filters out excess noise. This circuit is also interesting as a metaphor for other things in nature, as it behaves similarly to the human neuron.