Bose-Einstein Condensation of Photons

Lead Research Organisation: Imperial College London
Department Name: Physics

Abstract

This proposal is to make and study a novel, collective, quantum state of light by using a dye medium between two mirrors to bring photons to thermal equilibrium. The collective state emerges because of quantum interference.

Light is made of photons. Photons can be absorbed by a fluorescent dye, and bounced between two mirrors just 2 millionths of a metre apart, for one billionth of a second. That's more than long enough for the photons to come into thermal equilibrium with the dye, at room temperature. Quantum mechanics makes sure that identical photons interfere constructively, and so are very likely to be found together. This means that if we shine a bright enough light on our dye-between-mirrors, we will create a giant quantum wave, known as a Bose-Einstein condensate (BEC).

BECs have been seen in laser-cooled atoms in vacuum chambers, in cryogenic helium, and in semiconductor systems (exciton-polaritons) at low temperatures. In 2010, BEC was seen for the first time at room temperature in a dye-between-mirrors. This project will take that simple experimental idea and use it to study the properties of photon BECs.

The mirrors will be curved to confine the light: the shape of the mirrors gives an effective potential energy. Part of this project will be developing a machine and technique to make custom-shaped mirrors to confine photons so that they can only move in one dimension. Another part will be looking at the coherence of the photon BEC (how it shows interference). The photons in the dye medium interact with each other, unlike light beams in free space. I will study those photon interactions. I will also look at how the photon BEC behaves away from thermal equilibrium. The end result of this project will be an understanding of how photon BECs form, what are their properties, and their interactions, as well as the ability to make them in arbitrary sizes and shapes.

This is a fundamentally new way to manipulate light, so we can expect new optical devices will follow. It is hoped that this system of thermalised photons will improve the cost-efficiency of solar energy conversion, by transforming the frequency and spatial mode of the light that is pumped into the dye, making it possible to use optimised, cheap photovoltaics.

Planned Impact

This project will be working with a new and very unusual state of light, created by trapping photons and allowing them to come to thermal equilibrium in a fluorescent dye. In this Bose-Einstein condensate of photons, quantum mechanical effects are visible on human scales. Depending on the experimental results, we will know whether it is possible to use the device I will build to create a fixed photon-number state, and how to use it to improve the cost efficiency of solar energy harvesting. The device will be rather simple, and could straightforwardly be made robust which makes it ideal either for commercial applications or for demonstrations to the general public.

The main potential economic application of this work involves solar energy harvesting. Fluorescent solar collector technology can make cheaper solar cells than standard photovoltaic devices by taking sunlight from a large area and concentrating it around an edge, where smaller (cheaper) photovoltaics can be used for power generation. In this project, the dye plays the same fluorescence role, but the mirrors also spatially separate the different wavelengths of light. This means that an array of wavelength-optimised photovoltaics could be used, which would boost the efficiency of energy conversion. Thus, this project may well lead to more efficient solar cells, adding to the technologies available for renewable energy.

This work will show whether it is possible to created fixed-number states of light. These states can be used in quantum metrology to maximise the sensitivity of measurement when working with fragile objects (e.g. biological samples), using as few photons as possible.

Another integral part of this project is its outreach programme. The main apparatus of the experiment can be made very simple and robust. The observation of the system is done with a simple microscope and the photon Bose-Einstein condensate comes out as visible light. It may even be possible to see this quantum object directly with the human eye. This makes the apparatus ideal for public demonstration at exhibitions, science fairs and schools, showing non-scientific audience what cutting-edge science looks like.
 
Description The grant relates to Bose-Einstein condensation (BEC) of Photons in dye-filled microcavities. The first notable achievement is that we became only the second lab in the world to have created this non-equilibrium, many-body quantum state of light. The phenomenon of BEC of Photons has attracted a lot of published theoretical analysis. We have discovered experimentally that all of the early published theories published have a serious flaw. The steady-state properties of Photon BEC, such as threshold for condensation, shows a strong dependence on the geometry of the pumping light, e.g. beam size. We have also measured the coherence properties of photon condensates, above and below threshold. In doing so, we discovered a multimode-condensate regime. We have measured the momentum- and position-resolved spectra of thermalised and condensed photons in our microcavities, showing that both photon-photon and photon-dye interactions are weak.

We have initiated two collaborations with theorists. The first, with Marzena Szymanska (University College London) has already yielded a published article. It deals with the effects of interactions (optical non-linearities) in Photon BEC and a method to measure them. The second collaboration with Jonathan Keeling and Peter Kirton (St Andrews) has yielded an improved theoretical model, which in turn has given improved understanding of our experiments. The collaboration has also played a significant role in securing further funding for the study of BEC of light; an EPSRC fellowship for Peter Kirton (University of St Andrew) was awarded. Theory work within my team (in collaboration with Florian Mintert, also at Imperial College) has shed further light on the multimode condensation, exploring the surprisingly rich non-equilibrium phase diagram of optically pumped, dye-filled microcavities. More recently, we have also predicted an unusual variation on critical slowing down, which we call "non-critical slowing down" in certain parameter regions.

An experimental collaboration with Jason Smith (Oxford) has produced microfabricated mirrors, suitable for studying new physics. We have included the first generation of these mirrors in our apparatus for measurements, and found thermalisation and condensation of light. The photon BEC produced showed a phase transition, normally associate with macroscopic systems, with just 7 photons on average, making it probably the world's smallest BEC. The analysis of those results informs discussion around the distinctions between lasers and BEC. Those results are currently undergoing peer review. Most recently, the team have begun experiments on both the dynamics of condensation (in response to short pumping pulses) and the photon-photon correlations.
Exploitation Route The academic impact from the research has started: theory groups are modifying their models, and new experimental groups are starting up, following our lead. The Pathways to Impact statement for this grant called for a workshop conference on Photon BEC, which I organised, which happened in January 2016 and was successful enough that a second edition was held in 2018 (to be held in Bad Honnef, Germany) and a 3rd in 2020 (virtual, hosted by Utrecht University, Netherlands). These workshops have now become a series: a 4th is planned for 2022 in the Netherlands. We built a miniature version of the apparatus which would be suitable for public demonstrations and outreach but have not yet had time or occasion to display it. There are extensions and adaptations based on the project heading towards semiconductor devices and applications in sensing (especially of nanoparticles) and quantum simulation that have lead to 2 successful grant applications, including one as part of the EU consortium "PhoQuS" under the "Quantum Technologies" flagship programme.
Sectors Agriculture, Food and Drink,Chemicals,Digital/Communication/Information Technologies (including Software),Pharmaceuticals and Medical Biotechnology,Other

URL https://www.imperial.ac.uk/centre-for-cold-matter/research/photon-bec/
 
Description FET Flagship on Quantum Technologies
Amount € 2,999,757 (EUR)
Funding ID 820392 (PhoQuS) 
Organisation European Commission 
Sector Public
Country European Union (EU)
Start 10/2018 
End 09/2021
 
Description Near-equilibrium thermalised quantum light
Amount £767,529 (GBP)
Funding ID EP/S000755/1 
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start 07/2018 
End 01/2022
 
Title Absorption and Fluorescence data 
Description Fluorescence and absorption spectra of Rhodamine 6G, extending to longer wavelength than normal with higher dynamic range especially for absorption. The data is made public for use especially by theory groups modelling photon thermalisation and condensation. 
Type Of Material Database/Collection of data 
Year Produced 2017 
Provided To Others? Yes  
Impact The dataset as published on Zenodo has been cited by several published articles, including (1) Ryan I. Moodie, Peter Kirton, and Jonathan Keeling, Phys. Rev. A 96, 043844 (2017); (2) Henry J. Hesten, Robert A. Nyman, and Florian Mintert, Phys. Rev. Lett. 120, 040601 . The data is in further use by at least one other, non-connected research group. 
URL http://dx.doi.org/10.5281/zenodo.569817
 
Description FIB Microfabrication 
Organisation University of Oxford
Department Oxford Centre for Diabetes Endocrinology and Metabolism (OCDEM)
Country United Kingdom 
Sector Academic/University 
PI Contribution My team includes a PhD student (Benjamin Walker) who is joint supervised with Oxford, recruited through the Imperial College CDT in Controlled Quantum Dynamics. We have characterised the mirrors produced by the Oxford group and created thermalised and condensed light using them.
Collaborator Contribution The Oxford partner (Jason Smith's group ) have made high-quality mirror substrates for contoured optical microcavities for photon Bose-Einstein condensation. They have also trained Ben Walker in their techniques and machinery for focussed ion beam milling.
Impact We have several contoured mirrors (artifacts) from this collaboration.
Start Year 2016