Quote:
Originally Posted by Jay-qu  All this said and done I dont see how that you can 'teleport' a BEC. Yes the quantum effects become macroscopic, but that does not make the BEC like an EM wave that can be easily transmitted and recieved.. |
Although I’m skeptical that it can, even in principle, be done, I’ll make an attempt to suggest how tinkering with de Broglie wavelengths, as occurs when making Bose-Einstein condensates, could be used in the way described in the original post.
For low velocities
, the dBw
, where
is Planck’s constant, and
is the mass of the fundamental or composite particle. Thus, if we can make
very small, such as by laser cooling a particle, we can make
very large.
The wave function associated with
gives the probability of the particle being located within a particular volume of space. So, if
is very large, the probability of the particle being in an small volume of space is very small.
Wrestle around with the equations, and some much more daunting, somewhat epistemological problems involving quantum coherence, and we can assure that the probability of the particle being in a volume such as, say, Earth or the solar system, is nearly zero. In short, we can pull off a quantum vanishing trick.
A quick plugging of numbers for a single rubidium atom cooled to Cornell, Wieman Ketterle’s prize-winning temperature of 1.7e-7 K into the
equation for temperature of a gas and de Broglie’s equation gives
= 6.599e-5 m. So, to teleport our atom off Earth (about 1e8 m), it must be much cooler, about 1.3e-18 K. To teleport it more than a light-year, the temperature must be on the order of 1e-33 K.
That’s some pretty mind-boggling coldness!
Where BECs come into this, I think, is that, being much more massive than their constituent subatomic particles, but still being a single particle quantum mechanically, they should be easier to nudge around to reach mind-bogglingly low temperatures. So while their greater mass results in a shorter
, their lower speed could more than counter that, allowing wave effects on a mind-boggling scale.
Where things start getting difficult (cooling things 30 orders of magnitude more than Nobel-prize winning efforts have achieved is the easy part!
) is when you stop focusing on assuring the to-be-teleported stuff is no longer on or near Earth, and start trying to assure it's in the catch-tank/receiver of the target spaceship. With much hand waving, this basically requires that you set up some sort of
interference pattern with multiple particles, barrier-lenses, etc. so that there’s a region of constructive interference exactly where the target receiver is. I’ve not even started to consider how this could be done, but suspect it may be impossible.
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So, if you have a problem with oxygen atoms "disappearing" in a BEC chamber on the ground and "appearing" in one on the spaceship, just chalk it up to quantum tunneling. They never really "disappeared" at all, it's just that the two BEC chambers are quantum tuned to be one and the same chamber. The oxygen atom has a 50-50 chance of being in either!
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