Hey guys!
I'm Jon and WELCOME, to Respect Your Intellect!
Quantum Tunneling is one of the most important
phenomena of quantum mechanics because it
plays an important role in nature as well
as in our technology so in this video, we'll
cover everything that's important to know
about quantum tunneling.
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buttons and lllet's get started!
[Intro]
Let's start by talking about what Quantum
Tunneling is.
Remember in our introduction video to this
series, we talked about an example of throwing
a ball against the wall?
Well in classical mechanics and depending
on the ball, it could either bounce back to
you, which is known as reflection, penetrate
the wall and stop, which is known as absorption,
or go through the wall if it contains enough
potential energy to overcome the barrier.
In quantum mechanics though, this isn't necessarily
the case.
There's a phenomenon that allows particles
to sometimes go through a barrier.
The same example can be given with a ball
and a hill.
In classical physics, the ball would require
enough potential energy to roll over the hill
and get to the other side or it would otherwise
simply start rolling back down.
In quantum physics, particles are sometimes
able to simply go through the hill in the
same way as the previous example.
Quantum tunneling was discovered from the
study of radioactivity in the early 20th century
and became widely accepted about mid-century
as a general and widely-applicable phenomenon
of quantum mechanics.
The way that Quantum Tunneling works is again
due to the wave-particle duality of particles
in the quantum world.
One interpretation of this duality involves
the Heisenberg uncertainty principle that
defines a limit on how precisely the position
and momentum of a particle can be known at
the same time.
To put this in more simple terms, you can't
know the position or momentum with absolute
certainty because it would force the other
to infinity.
Because of this, you can't "definitely" prevent
a particle's wave function from appearing
on the other side of a barrier.
All you can do is decrease the probability
of tunneling to the other side by making the
barriers taller, wider, or thicker to the
point that tunneling simply doesn't happen
anymore.
This is precisely the reason why we can't
continue to make transistors smaller in our
computers because electrons would start tunneling
through them if they were any smaller.
In fact, tunneling is a source of the current
leakage that causes significant power drain
and heating effects that plague today's high-speed
and mobile technology.
On the other hand, tunneling can also be beneficial
in some areas like computer flash memory where
tunneling is a fundamental technique used
to program its floating gates; resulting in
one of the most significant inventions that
shaped consumer electronics in the last two
decades.
Just to show a little bit better how tunneling
works, let's add a bit of visuals.
Here's a short animation of an electron wavepacket
sent towards a barrier.
Now pay attention to the dim spot on the other
side of the barrier after the main wavepacket
is reflected.
This dim spot represents the electrons that
tunneled through the barrier and it's dim
because it was all based on a low probability
to tunnel through.
Here's another quick little example using
a graph.
Here the line at x0 represents a tall but
very narrow barrier.
Because the barrier is narrow, a significant
tunneling effect can be seen because the probability
of tunneling through is higher.
Lastly, let's take a quick look at this short
video that shows how tunneling works in practice.
Here we start with a thick barrier that makes
tunneling so improbable that we essentially
always get a bounce back.
Now as the thickness of the barrier decreases,
we see more tunneling happening; until the
barrier is so thin that tunneling happens
extremely frequently.
Now let's talk a bit about where we find quantum
tunneling in nature.
The first one worth mentioning is probably
the nuclear fusion of stars where the temperature
in the core is generally insufficient to allow
atomic nuclei to fuse together; if that was
the only factor in play.
There's something called the Coulomb barrier
that describes the electrostatic interaction
between two atomic nuclei that get near each
other which they have to overcome in order
to fuse together.
Quantum tunneling is what increases the likelihood
of overcoming this barrier since most stars
can't do that on their own.
This tunneling is what allows atoms to fuse
in the core of stars frequently enough to
be sustainable.
Though this tunneling is still something that
happens with low probability, the sheer amount
of nuclei in the core of stars is enough to
sustain nuclear reactions for even trillions
of years in some cases.
Another place we also find quantum tunneling
in nature is in the radioactive decay of atoms.
Radioactive decay is the process in which
atoms emit particles from their nucleus in
order to become more stable and the emission
of the particle out of the atomic nucleus
happens due to that particle tunneling outside
of the nucleus.
Quantum tunneling is also able to cause spontaneous
DNA mutations which can sometimes result in
cancer and could also be a factor in how we
age.
Now as far as technology goes, we already
covered some of the challenges and some of
the benefits that Quantum Tunneling presents.
One that we haven't yet talked about though
is the Scanning Tunneling Microscope.
This microscope operates by bringing an electrically
charged and very thin tip close to some atoms
in a material; like metal for example.
When the tip is close enough to the surface,
there's tunneling that happens between the
electrons of individual atoms and the tip
of the microscope.
This allows us to measure exactly where the
atoms are located so we can reconstruct it
on a chart or an image.
This is so precise that we can even use this
to move individual atoms to other locations.
Here is an image reconstruction of clean gold.
Here's a silicon crystal.
Here's a single-walled carbon nanotube.
And here's graphite.
Just for fun, here's what the scanning tunneling
microscope in the labs of the London Center
for Nanotechnology looks like.
So all in all, Quantum Tunneling is not that
complicated to grasp but it does have a very
significant impact on the universe.
In fact, the universe would be a very different
and dark place without Quantum Tunneling.
Our technology is also something that will
need to continue harvesting this phenomenon
and overcoming the challenges it poses.
As we get more skilled at working with extremely
small scales, quantum tunneling is definitely
something we'll hear more and more about in
the future.
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