The world's smallest double slit experiment

The world's smallest double slit experiment
To perform the experiment, a supersonic jet of hydrogen (source at bottom) is ionized by a beam of x-rays from the Advanced Light Source (not shown). The doubly photoionized molecule blows apart, and the protons (red) strike the detector at left while the electrons (blue), trapped in a magnetic field, strike the detector at right. The energy of all the particles and the original orientation of the molecule can be determined from the measured results.

The big world of classical physics mostly seems sensible: waves are waves and particles are particles, and the moon rises whether anyone watches or not. The tiny quantum world is different: particles are waves (and vice versa), and quantum systems remain in a state of multiple possibilities until they are measured -- which amounts to an intrusion by an observer from the big world -- and forced to choose: the exact position or momentum of an electron, say.

On what scale do the quantum world and the classical world begin to cross into each other? How big does an "observer" have to be? It's a long-argued question of fundamental scientific interest and practical importance as well, with significant implications for attempts to build solid-state quantum computers.

The world's smallest double slit experiment
The traditional double slit experiment uses a single light source and two slits in an opaque screen (top). Compare to a double slit experiment using double photoionization of the hydrogen molecule (lower panels): when an x-ray photon ejects both the molecule's electrons, the two proton nuclei act as slits, causing scattered electron waves to produce interference patterns. The waveform of the fast electron is shown at bottom. Credit: LBL

Researchers at the Department of Energy's Lawrence Berkeley National Laboratory and their collaborators at the University of Frankfurt, Germany; Kansas State University; and Auburn University have now established that quantum particles start behaving in a classical way on a scale as small as a single hydrogen molecule. They reached this conclusion after performing what they call the world's simplest -- and certainly its smallest -- double slit experiment, using as their two "slits" the two proton nuclei of a hydrogen molecule, only 1.4 atomic units apart (a few ten-billionths of a meter). Their results appear in the November 9, 2007 issue of Science.

The double slit experiment

"One of the most powerful ways to explore the quantum world is the double slit experiment," says Ali Belkacem of Berkeley Lab's Chemical Sciences Division, one of the research leaders. In its familiar form, the double slit experiment uses a single light source shining through two slits, side by side in an opaque screen; the light that passes through falls on a screen.

If either of the two slits is closed, the light going through the other slit forms a bright bar on the screen, striking the screen like a stream of BBs or Ping-Pong balls or other solid particles. But if both slits are open, the beams overlap to form interference fringes, just as waves in water do, with bright bands where the wavecrests reinforce one another and dark bands where they cancel.

So is light particles or waves? The ambiguous results of early double slit experiments (the first on record was in 1801) were not resolved until well into the 20th century, when it became clear from both experiment and the theory of quantum mechanics that light is both waves and particles -- moreover, that particles, including electrons, also have a wave nature.

"It's the wave nature of electrons that allows them to act in a correlated way in a hydrogen molecule," says Thorsten Weber of the Chemical Sciences Division, another of the experiment's leading researchers. "When two particles are part of the same quantum system, their interactions are not restricted to electromagnetism, for example, or gravity. They also possess quantum coherence -- they share information about their states nonlocally, even when separated by arbitrary distances."

Correlation between its two electrons is actually what makes double photoionization possible with a hydrogen molecule. Photoionization means that an energetic photon, in this case an x-ray, knocks an electron out of an atom or molecule, leaving the system with net charge (ionized); in double photoionization a single photon triggers the emission of two electrons.

"The photon hits only one electron, but because they are correlated, because they cohere in the quantum sense, the electron that's hit flies off in one direction with a certain momentum, and the other electron also flies off at a specific angle to it with a different momentum," Weber explains.

The experimental set-up used by Belkacem and Weber and their colleagues, being movable, was employed on both beamlines 4.0 and 11.0 of Berkeley Lab's Advanced Light Source (ALS). In the apparatus a stream of hydrogen gas is sent through an interaction region, where some of the molecules are struck by an x-ray beam from the ALS. When the two negatively charged electrons are knocked out of a molecule, the two positively charged protons (the nuclei of the hydrogen atoms) blow themselves apart by mutual repulsion. An electric field in the experiment's interaction region separates the positively and negatively charged particles, sending the protons to one detector and the electrons to a detector in the opposite direction.

"It's what's called a kinematically complete experiment," Belkacem says, "one in which every particle is accounted for. We can determine the momentum of all the particles, the initial orientation and distance between the protons, and the momentum of the electrons."

What the simplest double slit experiment reveals

"At the high photon energies we used for photoionization, most of the time we observed one fast electron and one slow electron," says Weber. "What we were interested in was the interference patterns."

Considered as particles, the electrons fly off at an angle to one another that depends on their energy and how they scatter from the two hydrogen nuclei (the "double slit"). Considered as waves, an electron makes an interference pattern that can be seen by calculating the probability that the electron will be found at a given position relative to the orientation of the two nuclei.

The wave nature of the electron means that in a double slit experiment even a single electron is capable of interfering with itself. Double slit experiments with photoionized hydrogen molecules at first showed only the self-interference patterns of the fast electrons, their waves bouncing off both protons, with little action from the slow electrons.

"From these patterns, it might look like the slow electron is not important, that double photoionization is pretty unspectacular," says Weber. The fast electrons' energies were 185 to 190 eV (electron volts), while the slow electrons had energies of 5 eV or less. But what happens if the slow electron is given just a bit more energy, say somewhere between 5 and 25 eV? As Weber puts it, "What if we make the slow electron a little more active? What if we turn it into an 'observer?'"

As long as both electrons are isolated from their surroundings, quantum coherence prevails, as revealed by the fast electron's wavelike interference pattern. But this interference pattern disappears when the slow electron is made into an observer of the fast one, a stand-in for the larger environment: the quantum system of the fast electron now interacts with the wider world (e.g., its next neighboring particle, the slow electron) and begins to decohere. The system has entered the realm of classical physics.

Not completely, however. And here is what Belkacem calls "the meat of the experiment": "Even when the interference pattern has disappeared, we can see that coherence is still there, hidden in the entanglement between the two electrons."

Although one electron has become entangled with its environment, the two electrons are still entangled with each other in a way that allows interference between them to be reconstructed, simply by graphing their correlated momenta from the angles at which the electrons were ejected. Two waveforms appear in the graph, either of which can be projected to show an interference pattern. But the two waveforms are out of phase with each other: viewed simultaneously, interference vanishes.

If the two-electron system is split into its subsytems and one (the "observer") is thought of as the environment of the other, it becomes evident that classical properties such as loss of coherence can emerge even when only four particles (two electrons, two protons) are involved. Yet because the two electron subsystems are entangled in a tractable way, their quantum coherence can be reconstructed. What Weber calls "the which-way information exchanged between the particles" persists.

Says Belkacem, "For researchers who are trying to build solid-state quantum computers this is both good news and bad news. The bad news is that decoherence and loss of information occur on the very tiny scale of a single hydrogen molecule. The good news is that, theoretically, the information isn't necessarily lost or at least not completely."

Citation: "The Simplest Double Slit: Interference and Entanglement in Double Photoionization of H2," by D. Akoury, K. Kreidi, T. Jahnke, Th. Weber, A. Staudte, M. Schöffler, N. Neumann, J. Titze, L. Ph. H. Schmidt, A. Czasch, O. Jagutzki, R. A. Costa Fraga, R. E. Grisenti, R. Díez Muiño, N. A. Cherepkov, S. K. Semenov, P. Ranitovic, C. L. Cocke, T. Osipov, H. Adaniya, J. C. Thompson, M. H. Prior, A. Belkacem, A. L. Landers, H. Schmidt-Böcking, and R. Dörner, appears in the 9 November issue of Science and is available online to subscribers at .

Source: Lawrence Berkeley National Laboratory

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User comments

Nov 09, 2007
"theoretically, the information isn't necessarily lost or at least not completely."

I think that's the most important statement of the article.

We hear it so often, it's kind of glazed over, but this relates back to the conservation of energy. "Enter cannot be created or destroyed." Along the same lines, neither can the information... Just transferred into different forms.

The description of the second slower electron function as the environment is almost a dead-on description of the first law of thermodynamics...

It would be interesting to better understand the function and dynamics of information transfer. As universal as it appears, one simple equation should be able to describe the behavior on all scales.

Nov 09, 2007
OK where's the slits?

Nov 09, 2007
The Hydrogen atoms.

Nov 12, 2007
Hydrogen, does it not have ONE electron?

Nov 14, 2007
Molecules! They're talking Hydrogen Molecules: two protons, two electrons.

I still don't understand how particles can be slits!? What comprises the "opaque screen" in this experiment? And how can the proton nuclei be considered slits? I might be too much caught up in macroscopic thinking, but this honestly confounds me.

Nov 19, 2007
There is a credible explanation for the non-local wave particle behaviour of atoms and subatomic particles that is consistent with this experiment and others. Paradoxically it is associated with an opinion expressed by Einstein late in life: I consider it quite possible that physics cannot be based on the field concept, that is, on continuous structures. Then nothing remains of my entire castle in the sky, including the theory of gravitation, but also nothing of the rest of modern physics.(In a letter to a friend in 1954, the year before he died.)

The only alternative is a discontinuous universe in which each particular atom is independently yet synchronously projected everywhere at once, like a series of very rapid still space frames in a cosmic movie. Light (EM radiation) is the only action within each space frame. It derives from within atoms and thus has a universal relationship c to each atom. Light itself defines space in relation to each atomic space frame. Both space and time are quantized. And light links all atoms up to provide us with the integrated fabric of space-time that we perceive as continuity, even though Plancks constant clearly indicates that light travels as a discrete series of pulses. The synchronous projection of discrete matter is what quantizes light. An absence of light is a black hole in space. All relative particulate motion is a series of quantum jumps between relative atomic space frames.

Between each space frame atoms transform to their quantum energy equivalents which are timeless and formless and collectively constitute a spatially indeterminate field of balanced photonic energy called the Void. Being timeless this field spans and integrates space and time. It is orthogonal to the integrated fabric of space-time that we perceive in the world around us. So the space frames close ranks. Collectively they give the appearance of space-time continuity but there are discontinuities in it. Each space frame defines a primary interval of time relative to light frequency and Planck%u2019s constant. In classical unit of time it is 1.519X10 to the minus 16 seconds, consistent with zero angular momentum in the first electron orbit of the primary hydrogen atom.

The oscillations between the Void and successive space frames are synchronously regulated by a single universal set of archetypal energy interfaces self-similar to electron, proton and photon. They are confined within and define the universal identity of electron, proton and photon, much like quarks are conceived to do. Because they are confined on the space frame side of the equation they are not subject to constraints in the integrated fabric of space- time. They tunnel through to intimately link up the electron, proton and photon within each independent atom. The unique universal set defines each particular atom as a separate entity, and it does it for all atoms everywhere at once.

In this view it is clear that atoms and their constituent particles are both waves and particles at the same time. They synchronously appear then timelessly disappear only to keep reappearing as a continuous sequence of occurrences. The wave character of matter only becomes apparent with relative motions. Light can not fully bridge the relative quantum jumps in position from space frame to space frame which introduces distortions in the synchronous projection of matter. Gaps open up in the relative projection of atomic matter. The space frames of the observer become swallowed or skipped in the relative space frames of the moving particle. This can be shown to be fully consistent with the Lorentz Transformations of special relativity. A new quantum-relativity emerges with many implications to physics and cosmology.

The way the experiment is described here, this means the two electrons get out of synch with their relatively stationary proton partners, but they are still linked by the universal energy set that must span successive space frames to link them up. This can create interference patterns based on probabilities that they can be accurately positioned synchronous with the protons, because some of the proton space frames are intermittently skipped relative to the electron. This is much more significant with the fast electron, because it introduces more space frame skipping.

If the slower moving electron gets an energy boost it still has a portion of its space frames skipped with respect to the faster moving electron and a greater portion of proton space frames are skipped relative to it. Nevertheless if the two electrons are taken together the interference appears to vanish because both electrons are still synchronous in the space frames that mutually coincide relative to the whole observing apparatus. They still remain coherent with one another and with their proton partners even though there is still a relative skipping of space frames involved. They are still coherently linked by the common universal set. This is consistent with the experimental result. Based on the brief description given this may be an oversimplification but the correspondence to a discontinuous universe should be clear enough.

This interpretation is also fully consistent with de Broglie%u2019s derivation of his wave equation for a moving particle and the assumptions that he implicitly based his derivation on. The de Broglie wave length is synonymous with each quantum jump in position of the moving particle relative to stationary space frames skipped in the inertial field of the observer. There is much more on my website at www_cosmic-mindreach_com. (Exchange underscores for dots.)


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