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Quantum mechanics: The mathematical description of the motion and interaction of subatomic particles in terms of quanta, incorporating the idea that particles can also be regarded as waves.
Double-slit
experiment
The double-slit experiment consists of letting light diffract through two slits,
which produces
fringes or wave-like interference patterns on a screen. These interference
patterns will result in
projected light and dark regions that correspond to where the light waves have
constructively
(added) and destructively (subtracted) interfered.
The experiment can also be performed with a beam of electrons or atoms, showing
similar
interference patterns; this is taken as evidence of the "wave-particle duality"
predicted by
quantum physics. Note, however, that a double-slit experiment can also be
performed with water
waves in a ripple tank; the explanation of the observed wave phenomena does not
require quantum
mechanics in any way. The phenomenon is quantum mechanical only when quantum
particles—such as
atoms, electrons, or photons—manifest as waves.
Although the double-slit experiment is now often referred to in the context of
quantum mechanics,
it was originally performed by the English scientist Thomas Young c.1801 in an
attempt to resolve
the question of whether light was composed of particles (the "corpuscular"
theory), or rather
consisted of waves traveling through some ether, just as sound waves travel in
air.
The interference patterns observed in the experiment seemed to discredit the
corpuscular theory,
and the wave theory of light remained well accepted until the early 20th
century, when evidence
began to accumulate which seemed instead to confirm the particle theory of
light.
The double-slit experiment, and its variations, then became a classic
Gedankenexperiment (thought
experiment) for its clarity in expressing the central puzzles of quantum
mechanics; although in
this form the experiment was not actually performed with anything other than
light until 1961, when
Claus Jonsson of the University of Tubingen performed it with electrons, and not
until 1974 in the
form of "one electron at a time", in a laboratory at the University of Milan, by
researchers led by
Pier Giorgio Merli, of LAMEL-CNR Bologna.
The results of the 1974 experiment were published and even made into a short
film, but did not
receive wide attention. The experiment was repeated in 1989 by Tonomura et al at
Hitachi in Japan.
Their equipment was better, reflecting 15 years of advances in electronics and a
dedicated
development effort by the Hitachi team. Their methodology was more precise and
elegant, and their
results agreed with the results of Merli's team. Although Tonomura asserted that
the Italian
experiment had not detected electrons one at a time—a key to demonstrating the
wave-particle
paradox—single electron detection is clearly visible in the photos and film
taken by Merli and his
group.
In September 2002, the double-slit experiment of Claus Jonsson was voted "the
most beautiful
experiment" by readers of Physics World.
By the 1920s, various other experiments (such as the photoelectric effect) had
demonstrated that
light interacts with matter only in discrete, "quantum"-sized packets called
photons.
If sunlight is replaced with a light source that is capable of producing just
one photon at a time,
and the screen is sensitive enough to detect a single photon, Young's experiment
can, in theory, be
performed one photon at a time—with identical results.
If either slit is covered, the individual photons hitting the screen, over time,
create a pattern
with a single peak. But if both slits are left open, the pattern of photons
hitting the screen,
over time, again becomes a series of light and dark fringes. This result seems
to both confirm and
contradict the wave theory. On the one hand, the interference pattern confirms
that light still
behaves much like a wave, even though we send it one particle at a time. On the
other hand, each
time a photon with a certain energy is emitted, the screen detects a photon with
the same energy.
Under the Copenhagen Interpretation of quantum theory, an individual photon is
seen as passing
through both slits at once, and interfering with itself, producing the
interference pattern.
A remarkable result follows from a variation of the double-slit experiment, in
which detectors are
placed in each of the two slits, in an attempt to determine which slit the
photon passes through on
its way to the screen. Placing a detector even in just one of the slits will
result in the
disappearance of the interference pattern. The detection of a photon involves a
physical
interaction between the photon and the detector of the sort that physically
changes the detector.
(If nothing changed in the detector, it would not detect anything.) If two
photons of the same
frequency were emitted at the same time they would be coherent. If they went
through two
unobstructed slits then they would remain coherent and arriving at the screen at
the same time but
laterally displaced from each other they would exhibit interference. However, if
one or both of
them were to encounter a detector, then they would fall out of step with each
other, that is, they
would decohere. They would then arrive at the screen at slightly different times
and could not
interfere because the first to arrive would have already interacted with the
screen before the
second got there. If only one photon is involved, it must be detected at one or
the other detector,
and its continued path goes forward only from the slit where it was detected.
The Copenhagen interpretation posits the existence of probability waves which
describe the
likelihood of finding the particle at a given location. Until the particle is
detected at any
location along this probability wave, it effectively exists at every point.
Thus, when the particle
could be passing through either of the two slits, it will actually pass through
both, and so an
interference pattern results. But if the particle is detected at one of the two
slits, then it can
no longer be passing through both - its presence must become manifested at one or
the other, and so
no interference pattern appears.
This is similar to the path integral formulation of quantum mechanics provided
by Richard Feynman.
(Feynman stresses that this is merely a mathematical description, not an attempt
to describe some
"real" process that we cannot see.) In the path integral formulation, a particle
such as a photon
takes every possible path through space-time to get from point A to point B. In
the double-slit
experiment, point A might be the emitter, and point B the screen upon which the
interference
pattern appears, and a particle takes every possible path — through both slits
at once — to get
from A to B. When a detector is placed at one of the slits, the situation
changes, and we now have
a different point B. Point B is now at the detector, and a new path procedes
from the detector to
the screen. In this eventuality there is only empty space between (B =) A' and
the new terminus B',
no double slit in the way, and so an interference pattern no longer appears.
Regardless of whether it is an electron, a proton, or something else on that
scale, where it will
arrive at the screen is highly determinate (in that quantum mechanics predicts
accurately the
probability that it will arrive at any point on the screen) but in what sequence
members of a
series of singly emitted things (e.g., electrons) will arrive is completely
unpredictable. The
experimental facts are so highly reproducible that there is virtually no
argument about them, but
the appearance of there being an uncaused event (because of the unpredictability
of the sequencing)
has aroused a great deal of cognitive dissonance and attempts to account for the
sequencing by
reference to supposed "additional variables".
For example, when electrons are fired at the target screen in bursts, it is easy
to account for the
interference pattern that results by assuming that electrons that travel in
pairs are interfering
with each other because they arrive at the screen at the same time, but when
laboratory apparatus
was developed that could reliably fire single electrons at the screen the
emergence of an
interference pattern indicated that each electron was interfering with itself
and therefore in some
sense the electron had to be going through both slits. For something that most
people continue to
imagine to be an unimaginably small particle to be able to interfere with itself
would suggest that
this "sub-atomic particle" was in two places at once, but that idea is strongly
at odds with the
truism, "You cannot be two places at once." It was easier to conceptualize the
electron as a wave,
and that evasion of awareness of the dual or complementary wave-particle duality
may have made the
experiment more palatable for those who otherwise would have been deeply
disturbed by it.
When the double-slit experiment is performed one electron at a time with
sensitive apparatus the
same interference pattern emerges that would be seen if multiple electrons were
fired
simultaneously as had always been done with the cruder previously available
apparatus. So the
appearance of an orderly and consistent universe was maintained, albeit one in
which everything
with atomic dimensions had to be conceived as having some sort of wave nature.
However, when one electron (proton, photon, or whatever) is fired at a time, it
also becomes
possible to detect the point on the screen at which it arrives—and another
result was demonstrated
that could not easily be squared with experience of the macro world, the world
of everyday
experience.
In everyday experience we are accustomed to a seemingly analogous result. If one
tests a firearm by
locking it in a gun mount and firing several rounds at a target, a scatter
pattern of bullet holes
will appear in the target. We know from long experience that a badly made gun
firing badly made
ammunition will scatter shots fairly widely. We can learn and understand how
flight path deviations
are caused; more exacting construction of both firearms and ammunition leads to
tighter and tighter
patterns of bullet holes. But that is not what happens in the new double-slit
experiment.
Returning again to electrons, when electrons are fired one at a time through a
double-slit
apparatus they do not cluster around a single point diametrically opposite the
emitter but instead
one by one fill in the same old interference pattern with which we have now
become quite familiar.
However, they do not arrive at the screen in any predictable order. In other
words, knowing where
the last electron appeared on the screen tells us nothing about where the next
electron will hit.
The electrons (and the same applies to photons and to anything of atomic
dimensions used) arrive at
the screen in an unpredictable and arguably causeless random sequence, and the
appearance of a
causeless selection event in a highly orderly and predictable formulation of the
by now familiar
interference pattern has caused many people to try to find additional
determinants in the system
which, were they too become known, would account for why each impact with the
target appears.
When scientists observed which slit the electrons were passing through, and
separately mark the
spot where each strikes the target, the separately tracked electrons behave like
bits of matter
instead of a wave of potentials: they create two lines of hits with no
interference pattern, just
would be expected if electrons were like tiny marbles.
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