Quantum Optics experiments have become very popular investigations in physics teaching laboratories. A rich body of investigations has been developed such as the Grainger experiment, Single Photon interference and the Quantum Eraser to name a few [1-5]. These experiments allow students to learn about optics, interferometry, the fundamental nature of light, single photon detection, counting methods and quantum mechanics. In the course of working with single photon experiments, our students learn about different techniques for aligning optics and fiber optics as well as the fundamental optics. The increased interest in the single photon laboratories is, in part, the availability of lower cost Single Photon Avalanche Diode detectors (still quite expensive), lower cost coincidence detection, much more affordable laser systems (less than $100) and affordable down conversion crystals (BBO, ~$500).
There have been a number of different coincidence detectors developed of varying degrees of simplicity and cost. Notable are the several designs described in Branning et. al. [6, 7] which have involved both discrete logic elements and an FPGA with a cost of $300 or a more depending on how you do the configuration. Refs[8, 9] presents designs solely based on an FPGA with time stamp features and a cost of approximately $100. Ref  has several other designs.
Part of the process for us to learn about single photons is to develop our own apparatus. The focus of the present work is to describe the development of a lower cost and simpler coincidence detection system. Our design goals were to develop a relatively straightforward and simple system that required very little assembly but would be capable. What we came up with has quad inputs and six counters that are each capable of collecting up to four-fold coincidences and involves very little hardware work. Ultimately, our system costs approximately $40. It is based on a Cypress PSoC 5 microcontroller prototyping kit CY8CKIT-059.
WHAT IS A PSoC?
PSoC stands for Programmable System on a Chip. The PSoC 5 is a mixed signal microcontroller system. It comes with a 32 bit ARM Cortex M3 processor, a variety of analog components such as operational amplifiers, comparators, a 20 bit analog to digital converter, two 12 bit analog to digital converters, four digital to analog converters, a 24 bit digital filter system and 24 universal digital blocks (UDB). The UDB’s consist of a matrix of uncommitted Programmable Logic Devices (PLD’s) and a digital interconnect. The PLD may be configured to be any number of digital devices from simple logic elements to more complex digital devices such as counters, pulse width modulators and communication. Another interesting feature of the PSoC is that almost every pin is reconfigurable for analog or digital. Furthermore, Individual ports (a group of 8 pins) can be assigned to different input/output voltages such as 1.2 V allowing convenient level shifting. One of the great advantages of the PSoC is that you can combine analog and digital circuitry on a single chip combined with a relatively powerful processor which allows you to collect data and then do some processing on the data. Figure 1 shows a diagram of the PSoC 5.
The PSoC 5 is available in either the QFN or the TQFP packages which makes them somewhat difficult to prototype since you have to develop your own circuit board to effectively use the processor. Fortunately, Cypress has just released the CY8CKIT-059 prototyping kit which does make this easier.
The CY8CKIT-059 prototyping kit has simplified the process of using the PSoC 5. It consists of a small circuit board with breakout pins to allow you to access most of the GPIO ports of the PSoC5 and its capabilities. It also comes with an integrated USB programmer which makes it very convenient to use. The programmer can also be used to communicate serially with the computer through a virtual serial port. The board also has a micro USB port that can be used for communication. Figure 2 shows an image of the CY8CKIT-059 prototyping kit. On the left side is the programmer which plugs directly into a USB port (or preferably a USB extension cable). This is also used for serial communications. Once your device is completely programmed, the programmer may be removed.
Programming the PSoC involves using free and downloadable, but proprietary integrated development system from Cypress (for windows only)-PSoC Creator [X]. PSoC Creator allows you to graphically design the digital and analog components of the PSoC with drop and drag components (counters, PWM’s, OpAmps, A/D converters, Capacitive sensors, etc.) and a wiring tool. Coding is completed in the environment using “c”.
PSoC 5 COUNTER
The counter and coincidence detector that we developed has four, 50 ohm terminated input channels, six 24 bit counters, an adjustable window (0.1 s to 10s at present) and six outputs. The coincidence detection is programmable via capacitive buttons allowing any combination of inputs from single channels to four-fold coincidences to be counted. After each coincidence detection, the pulses are synchronized to the clock for counting. Each of the coincidence detectors also pass the pulses to each of six outputs which allow the counters to be to be combined to allow a greater number of inputs.
The coincidence detection is determined by the circuit shown in Figure 4. It consists of four OR gates to choose the inputs and an AND gate does the coincidence detection. The Control register is the interface between the processor and its firmware and the digital circuitry. If one of the control register bits is set high as one of the inputs for an OR gate, then the output of the OR gate will always be high and therefore that input will not matter. Our tests of the OR and AND gates indicate that they are very fast with very short propagation times (we measured differences in propagation times of less than 1 ns for 5 AND gates and 4 NOT gates). The largest propagation delays come from the input and output buffers. This is on the order of 35 ns (See Figure 3).
Similar to the design in Ref , we did not include pulse shaping into our system in part because our detectors generate 10 ns pulses and we felt that it was not necessary. However, this is something we can revisit at a later time.
We were able to use the counter by mounting the prototyping kit on an electronic breadboard. However, to make connections more secure we designed a simple two sided circuit board which was etched in the laboratory. The circuit board is shown in Figures 6A and 6B. The development kit plugs into this board. The board has the termination, and the BNC connectors for input and output. The board also has capacitive buttons for controls. It also mounts the LCD screen which provides feedback for the selection of what to count as well as showing the counts of the first four counters. It would also have been very simple and cheaper to assemble the entire counter on a perf-board. The cost of the entire counter is given in Table 1.
Table of costs for assembling the counter.
|CY8CKIT-059 PSoC5 prototyping kit||$10.00||http://cypress.com|
|4x20 serial LCD||$8.00||http://ebay.com|
|Double sided circuit board material||$6.99||http://circuitspecialists.com|
|BNC connectors (10)||$12.70||http://mouser.com|
|51 Ω Termination Resistors (4)||$0.40||http://mouser.com|
Choosing what combination of input channels will be counted is set using capacitive buttons which are etched on the circuit board as shown in Figure 6B and Figure 7B. The capacitive buttons have the advantage of being fairly easy to interface directly to the microcontroller and have no moving parts. All of the counts can be sent through the serial connection to the computer. We found when using our SPAD’s that the output is below TTL thresholds. We set the PSoC input to be LVTTL, which is functional. However, as a future alternative, we will actually set the input voltage level on the prototyping kit using VDDIO.
COUNTER AND COINCIDENCE TESTS.
To test the counter we initially used a pulse generator which allowed us to use pulses of 5 ns or longer. We used a 50MHz counter to compare the PSoC counter with measured counts. A 200 MHz oscilloscope was used to examine the pulses in and out of the PSoC counter. Figure 8 shows the counts for 10 ns pulses using the PSOC counter vs. the counts measured using the 50MHz counter as a function of input frequency. Exceeding 25 MHz, the PSoC counter is unable to keep up and starts to miss counts making it inaccurate. We do not consider it usable for more than 20MHz. We also found that for pulses shorter than 10 ns, the counter would also miss counts. Therefore, the limitations we place on the device are a minimum pulse length of 10 ns and a maximum count rate of 2 × 107 cps. Since we are using 24 bit counters, the window needs to be adjusted to match the count rate since the maximum counters for the 24 bit counter is 224 counts or 1.678 × 107 counts. For low count rates we can use longer windows.
As a preliminary test of the counter, we assembled a dual channel pseudo random sequence (PRS) generator on a second PSoC 5 prototyping kit so that we could examine the response of the system using random inputs. As in Ref 2 and 6, the coincidences in two random events has been shown to follow the form of C = τ × R1R2, where C is the number of coincidences and R1 is the counts on channel 1 and R2 is the counts on channel 2. τ is the detection window. The data is shown in Figure 9 and yields a detection window of approximately 21.5 ns which is consistent with the pulse duration from our PRS.
As a final test of this counter, we put it into our single photon system. Since this is our first foray into quantum optics we are showing several simple tests as presented in Ref 2. Our experimental system is similar to the one described by Mark Beck  with fiber coupled detectors and RG 780 filters in the path to protect the detectors.
In experiment 1, we use a small incandescent bulb (a random process) with ND filters and look at random coincidences between two detectors which allows us to determine the coincidence window. For the random thermal process we would expect the anticorrelation coefficient, to be 1 (just as it was for the pseudo random pulse generator). In this expression, RAB is the number of coincident counts per unit time, RA and RB are the counts per unit time of each of the detectors, and τ is the coincidence window. The 2d superscript indicates we are using two detectors as shown in Figure 10.
Finally, we performed a dual channel investigation using the nominally single photon source from a down conversion system. The experimental set up is shown in Figure 11. We would hope to measure the anti-correlation coefficient with a value much greater than 1. However, to date we have only measured it to be 1.2, which is only two standard deviations above 1 and is rather disappointing. We currently attribute this failing to the pump laser which has a horrible beam shape (doughnut) and are in the process of replacing it was a different system.
We have demonstrated a fairly simple counter which can be assembled for approximately $40. Tests indicate that it is functional. While it presently is limited to four-fold detections, we have the ability to expand the number of inputs and outputs. What we cannot do is expand the number of counters without decreasing counter resolution to 16 bit. This would then greatly reduce the counting windows.
There are improvements to be made to the system. A different circuit board design would place the capacitive buttons on the bottom of the circuit board and use the board as the lid to a box rather than an open frame system. It would also be helpful to utilize the onboard USB port rather than use the programmer for data communication. Data communication could be improved by better support software with graphical display – either through LabView or with a custom Python program. We also would like to add an SD card reader so that data can be stored directly on an SD card without the need for a computer.
At present we make little use of the processor on the microcontroller other than to read the counters, display the counts and then to send those to the computer. With a little effort we can have it collect statistics and report these.
Finally, we are considering developing our own circuit board, rather than depend on the prototyping kit because there are some advantages such as the ability to control the input levels of different ports. This would still be a one chip solution, however, the complexity of such a system would be quite a bit higher, requiring a more complex custom circuit board.
Thorn, J.J., Neel, M.S., Donato, V.W., Bergreen, G.S., Davies, R.E. and Beck, M.; “Observing the quantum behavior of light in an undergraduate laboratory”; Am. J. Phys., 72, 1210–1219 (2004).Google Scholar
B.J. Pearson and D. Jackson; “A hands-on introduction to single photons and quantum mechanics for undergraduates”; Am. J. Phys., 78, 471–484 (2010).Google Scholar
W. Rueckner and J. Peidle; Youngs double-slit experiment with single photons and quantum eraser”; Am. J. Phys., 81, 951–958 (2013).Google Scholar
D. Dehlinger and M.W. Mitchel; “Entangled photon apparatus for the undergraduate laboratory”; Am. J. Phys., 70, 898–902 (2002).Google Scholar
Beck, M., [Quantum Mechanics: Theory and Experiment], Oxford University Press, Oxford & New York, (2012).Google Scholar
Branning, D., S. Bhandari, and Beck, M.; “Low-cost coincidence-counting electronics for undergraduate quantum Optics”; Am. J. Phys., 77, 667–670 (2009).Google Scholar
Branning, D., Khanal, S., Shin, Y.H., Clary, B., and Beck, M.; “Note: Scalable multiphoton coincidence-counting electronics”, RSI, 882, 016102 (2011).Google Scholar
B. Gamari, D. Zhang, R.E. Buckman, P. Milas, J.S. Denker, H. Chen, H. Li, and L. Goldner; ”Inexpensive electronics and software for photon statistics and correlation spectroscopy”, Am. J. Phys., 82, 713–722 (2014)Google Scholar
Peters, J.K., Polyakov, S, Midgal, A. and Nam, S.W.; “Simple and Inexpensive FPGA-based Fast Multichannel Acquisition Board”; <http://www.nist.gov/pml/div684/grp03/multicoincidence.cfm> (January 2015)Google Scholar
Stummer, A; <http://www.physics.utoronto.ca/~astummer/pub/mirror/Projects/index.html> (2015).Google Scholar