Laser Spectroscopy in ALPHA 

Introduction

One of the most fundamental questions in physics is whether there would be any way of determining whether one lives in an anti-matter universe or a matter universe. The question may sound absurd - but until now all evidence points to the conclusion that there is no such difference - i.e. anti-matter is a perfect mirror image of matter.

The ALPHA experiment plans to contribute to the clarification of this mystery by testing the behavior of neutral antimatter in the form of anti-hydrogen atoms. As all forces working between matter-matter, matter-antimatter and antimatter-antimatter are supposed to be the same, an anti-atom should be the perfect mirror image of its matter counterpart. I.e. the interaction between the anti-electron (positron) and the antiproton in antihydrogen should be indistinguishable from that between the electron and the proton in hydrogen.

This interaction can be probed using laser light with extremely high resolution - in principle down to one part in a million trillion. The antihydrogen atom could provide the best possible direct test of the difference between matter and anti-matter, as it is the only system so far available that allows precision tests of the interactions between anti-particles only.

Furthermore, since antihydrogen is a neutral system it offers the possibility of testing the influence of gravity on anti-matter. Theoretically this influence is expected to be the same as that for matter, but this postulate has never been investigated due to the non-availability of neutral anti-matter. If antimatter does not fall in a gravitational field, we will be able to detect such behavior easily, but in the more likely (depending on your feelings on the matter) situation where antimatter does fall, but perhaps with slightly different acceleration, lasers also offer powerful means for observing the behavior of the anti-atoms.

The (Anti)Hydrogen Spectrum

In 1913 Niels Bohr proposed his famous model for explaining the discrete spectrum of light emitted by atoms. The observation that needed explanation was that the visible light emitted by an excited (by heating for example) hydrogen gas was a discrete number of lines. The observation had been made by Balmer - and the series is therefore known as the Balmer series. The wavelengths emitted are 410 nm, 434 nm, 486 nm and 656 nm. In the spectra below they are indicated by lines.

balmer

The explanation that Bohr proposed to explain this was that the electron(s) that were known to be a part of the atom (Thomson's experiment) and were suspected to be distributed as a cloud around the atom due to Rutherford's discovery of the nucleus, were in fact only able to have certain distinct energies. The energy of the electron is quantized - hence the later name of quantum physics. The famous (and wrong) secondary school image of the atom was thus created with the electron(s) orbiting the nucleus like planets orbiting the sun.

bohr atom

Each line in the Balmer series was thus found to correspond to specific energy changes of the electron in the hydrogen atom. In an energy diagram we can view it as in the following figure

energy level diagram

The Balmer series corresponds to transitions between the level designated '2' and the levels 3,4,5 and 6. The energy difference from the ground level (n=1) to the first excited state (n=2) is also indicated and the corresponding wavelength is 121.5 nm - which is deep in the ultra-violet.

Anti-matter

Anti-matter was predicted by Dirac in 1933. The basic idea of Dirac was to incorporate the theory of relativity into the developing theory of quantum mechanics. The principle can in simple terms be explained if we take a look at the famous energy - matter relation of Einstein :

E=mc2

where 'E' is energy, 'm' is the mass and 'c' is the speed of light. This equation basically expresses that matter is a very concentrated form of energy. The equation express the amount of energy contained in a particle of mass 'm' at rest. If the particle moves the total energy of the particle can be expressed as

Epc2

where 'p' is the momentum (mass times velocity) of the particle. As this is a quadratic equation it has two solutions for the energy E: a positive and a negative one. Dirac decided that the negative ones must correspond to some physical reality and thus proposed that a negative energy solution corresponded to a positive energy anti-particle. Furthermore he proposed that, like an ocean, all the negative energy states are filled up to zero with particles. This would be invisible to a standard observer, as it is supposed to be a homogeneous background. However, as shown on the figure below, if enough energy is available it is possible to excite a particle from the negative energy state into a positive energy state, thus leaving a 'hole' behind in the sea of negative states. This hole is like a mirror image of the particle that we excited away. The hole can move around like a particle, and as it corresponds to the lack of a negative energy particle it behaves like a positive energy hole or anti-particle. This mechanism tells us how we can create anti-particles by having enough energy and suitable conditions for momentum conservation. It also predicts that anti-particles are always created in a pair with a particle.

antiparticle sea

This of course is the heart of the problem. The currently most accepted theory for theorigin of the universe is the Big Bang model, that starts - as the name indicates - with a Big Bang, i.e. with a huge energy density that slowly expands. As the universe expands it cools like an expanding gas. But all this energy eventually manifests itself as particles. However, we just learned that particles are always created together with a twin anti-particle. Today we should thus have half the universe filled with anti-matter. When matter and anti-matter meet the matter can 'fall' into the anti-matter 'hole' and the energy difference is released. This energy difference is given by Einsteins famous equation and is enormous. One gram of (anti)matter corresponds to the same amount of energy as released by fission of 1 kg of Uranium 235 or as 15 kTons of TNT (the size of the Hiroshima bomb). Thus if half the universe was anti-matter we would expect the sky to be illuminated by matter- anti-matter annihilations as they are called. No evidence for such behavior or indeed any significant amount of anti-matter in the universe as a whole has so far been observed. Thus on this account half the universe is missing or there is some subtle difference between matter and anti-matter that can account for the difference.

One of the goals of anti-matter science is thus to set limits for the differences between matter and anti-matter, and thus provide insight into the Universe as a whole as well as the physical laws governing it.

Spectroscopy of (Anti)Hydrogen

The term spectroscopy covers all kinds of energy measurements. As mentioned above our goal is to do precision spectroscopy of antihydrogen in order to compare it to hydrogen. One advantage of antihydrogen, apart from the fact that it is the easiest (if not the only) anti-atom to create, is that it is the simplest atom - consisting of the fewest components - and therefore is fairly easy to handle theoretically. Furthermore it has the advantage that one of the potential excited states from the ground state has a very long lifetime and therefore a very well defined energy (this can be understood from the famous Heisenberg uncertainty relation - which says that the energy state of something long-lived is well defined). In fact the transition has a line width of only 1.3 Hz which should be compared to the transition frequency of 2.5×1015 Hz.

This transition from the ground state of the atom (1s) to the first excited state (2s) may be bridged by two photons whose total energy matches the transition energy difference. This is a rather unlikely process and thus demands large numbers of photons (high light intensities), however it has the advantage that if we use to counter propagating laser beams of the same frequency (in our case the same beam retro-reflected on a mirror) the Doppler shift is compensated as the Doppler shift of one photon is exactly the opposite (to first order) of that of the other counter propagating photon. Recall that a photon source moving towards you is blue-shifted (towards higher frequencies). This is the same phenomenon as the sound emitted from a passing ambulance - when moving towards you the pitch is higher and when moving away lower.

Two photon

As the velocity of the atom thus exits the equation all atoms, independent of velocity, will be resonant with the laser when the laser frequency matches the transition. In this was the laser light may interact with the atom.
 
 

The ALPHA laser system

We mentioned above that we need laser light to excite the atoms and to excite the 1s-2s transition. The 1s-2s transition has a wavelength of 121.5 nm , which means that the two-photon transition discussed above implies photons of wavelength 243 nm (half the energy).  wiLaser lightth this wavelength is ultra-violet (the visible wavelength range is about 400 nm to 800 nm). Furthermore in order to do spectroscopy we need to be able to change the frequency over a short range in order to pinpoint the transition we are looking for. In order to do this we are building a three stage system consisting of an ion laser, a dye laser and a frequency doubling external resonator.

243nm laser chain

An Krypton Ion laser (called Innova Sabre) is a basic type of laser which uses a DC current to population invert ions in a gas (Krypton). The laser has been equipped to emit light at three wavelengths only : 406 nm, 413 nm and 416 nm. The laser emits between 3 and 4 watts of power. These wavelengths are defined by some fixed electronic transitions in the gas used in the laser and can not be changed. In order to introduce tunability in the system this laser is used to pump a so-called dye laser (Coherent 899). In the dye laser the gain medium is a dye dissolved in a suitable solvent (Ethylene Glycol). The dye used is called Coumarin 102 and emits light in the range 450 - 520 nm. The molecules of the dye are large and have many many states and thus when excited the light emitted is for all practical purposes continuous in the wavelength range of the dye, and the dye laser can thus be made to laser on any wavelength in the range of the dye. The wavelength used in our system is 486 nm. The bandwidth of the dye laser as supplied by the manufacturer is about 500 kHz - thus far from the transition linewidth of 1.3 Hz of the 1s-2s transition in (anti)-hydrogen. By adding a more stable reference the dye laser line width can "easily" be improved 1000 fold - or more. The 486 nm light has two times the wavelength of the light needed for the two photon transition. One may double the frequency of the light by shining it into a non-linear crystal. The processes in the crystal do, with some feeble efficiency, 'merge' two photons into one and thus creates light of double the frequency (half the wavelength). The process is proportional to the square of the intensity of the light and it is thus very beneficial to place this crystal in a re-circulator (resonator) such that the fundamental beam (486 nm) passes many times through the crystal. Out of this chain is created the 243 nm light needed for the 1s-2s spectroscopy. About 50 mW of laser light at 243 nm can be generated.

Trapping of neutral atoms

In order to obtain long interaction times it is desirable to have the sample of particles one is studying trapped in space in some fashion. Charged particles may easily be trapped by suitable electromagnetic fields but neutrals is another matter. Fortunately neutral particles can have a magnetic field - this is the case for Hydrogen, and it stems basically from the electron which has a spin and thus a magnetic dipole moment. Think of it as a small current ring or a small magnet. Magnets can be suspended and contained in suitable magnetic fields. In the case of neutral hydrogen the moment of the atom can have one of two directions and only one of them may be captured (the low-field seekers). This trap should of course be super-imposed on where the anti-hydrogen atoms are formed. One might imagine a configuration like the following where the arrows indicate the current direction.

Penning-Ioffe Trap

In reality people often use another (so-called cloverleaf) configuration which avoids the infinite wires and has the same field. The criterion on the field is that it has a minimum in the center of the trap. The typical depth of these kinds of traps is a few Kelvin. The anti-hydrogen thus has to be produced at low temperatures for anything to be captured by the trap.

The previous ATHENA setup did not include a trap for neutrals, which means that precision spectroscopy is still a bit into the future. Trapping of the neutral are, however, one of the main points of the new ALPHA Project. Still, many other potential experiments awaits with the setup as it is now. Amongst possible simple experiments is the ionization of anti-hydrogen in the ground state. As no-one has ever studied directly the interaction between two anti-particles such an experiment already offers interesting possibilities as well as being a precursor for more precise measurements.

References

For further reading we can refer to the following web sites, articles and books :

The Hydrogen Spectrum

The Bohr Atom

NASA's view on anti-matter

CERN's anti-matter web site
 
 

Comments to the pages on spectroscopy may be sent to Niels Madsen -Last  modified February 4, 2005