Quantum Leaps, Long Assumed to Be Instantaneous, Take Time
quantamagazine.org
quantamagazine.org
What's news here is that this transition, which has always been predicted by theory, has been experimentally observed for the first time.
"a smooth transition between being in one energy state to
being in a superposition of two energy states to being
entirely in the second energy state."
At the terminus of this transition, is the particle no longer in a superposition? IE there is now a 100% chance it's in the second state and 0% chance that it's in the original state?If so, does that imply that the function of the particle's state (with respect to time) is discontinuous? Since there's a point at which it goes from being a superposition to exactly 0%.
The first answer is that a system is never 100% in any particular state because that would violate the uncertainty principle. When we speak of a system "definitely" being in a particular state that's an approximation/simplification. It actually means that the system is in a superposition of some range of states that for all intents and purposes we can treat as being the same, and the probability of it being in a state that cannot be treated the same for all intents and purposes is so close to zero we can ignore that.
The second answer is that whether or not a system is in a superposition depends on your point of view. A system can only ever be in a "single state" (according to the above approximation) with respect to some observable, and if it is in a single state with respect to that observable then it is necessarily in a superposition with respect to the complementary observable, e.g. a particle that is in a definite state with respect to position is necessarily in a superposition with respect to velocity.
So the whole process is everywhere and always continuous.
I was extremely confused by the proposition because yes, it's known that energy states are quantized but I've never heard of any popular literature before suggesting the transition itself was quantized. Intuitively it doesn't even make sense that it could be quantized.
Was this a popular scientific opinion?
But instead, while you still don't know when exactly, you do know there will be a wind up for the pitch before the ball is thrown, and we can see this windup, and we can time things to hit the ball, or shoot the pitcher with a blowdart and keep the pitch from happening.
So if there are systems in certain configurations to which this property is applicable to, and if we needed to keep things in that configuration until a time of our choosing, for instance if a state change occurs it would have cascading effects, we can do so.
Having said that, the random chance of a transition occurring must be a probability over time. So if there is a fundamental probability, we can ask what is the unit of time over which that probability is expressed? I’m not sure that question makes sense, but maybe it’s the time it takes for the transition to occur, if that is fixed for a given transition?
I’m not sure. There must be some factor that causes one quantum transition to occur more or less frequently than another. That factor isn’t really hidden because we can measure the frequency of transitions, but as far as I know, we don’t understand it’s nature. That factor, whatever it is, may determine the time it takes for the transition to occur but it’s not necessarily like a memory, but more like a trajectory. Clearly something in the quantum state is changing, so it is a system of some sort.
— Neil Gaiman and Terry Pratchett, Good Omens: The Nice and Accurate Prophecies of Agnes Nutter, Witch.
Quantum leaps being instantaneous would be a (possibly common) misconception.
The leap in a quantum leap is describing the notion of a discrete jump in measurement outcomes.
My understanding of QM is that a quantum's system's state is suddenly and discontinuously changed by a measurement.
My understanding of this article is a bit confused, and I think that there are two possible things we could be seeing: 1. Quantum collapses of superpositions actually do take time ("This Changes Everything") 2. This particular quantum system is not actually being measured, but is oscillating in superposition in some odd way. ("Just a Particular System")
Which case is it?
What's done in such an experiment is that we initialize a quantum state in a particular state (that this is possible is not actually obvious, but let's assume it's true) and then we make a lot of repeated measurements after different amounts of times.
So we're not talking about a single system, but instead about statistics about a set of measurements with systems that have been set up in the same initial state. (Each system only being measured once after a certain time after it's being set up).
Nothing is new. This experiment is simply confirming a prediction of standard QM. All the talk about "quantum jumps" and how something has supposedly changed about the way we understand them is just pop science reporters misunderstanding the actual science.
https://www.penguinrandomhouse.com/books/316818/einsteins-un...
How is this in any way consistent with the rest of quantum mechanics?
Edit: I don't mean to sound snide, I am genuinely confused about what this experiment means.
Also remember that quantum mechanics is a way to make statistical predictions of outcomes of certain experiments; it does not claim to explain what is actually happening underneath.
Bell's inequality places a strong constraint on what sort of physical theories can explain quantum phenomena. If you believe in locality (the universe has no global variables, and information propagates outwards through local interactions), then the wavefunction is a real thing, and the actual state of the universe.
https://en.m.wikipedia.org/wiki/Interpretations_of_quantum_m...
(Aside: Bell’s theorem additionally requires one to dismiss the possibility of superdeterminism.)
I'm highly partial to the Many Worlds Interpretation, as I think it's the only interpretation that takes quantum mechanics seriously. If you assume that quantum mechanics describes both the system you're studying and the measurement apparatus (including the scientist taking the measurements, and the rest of the universe), then you're led inexorably to the Many Worlds Interpretation.
There is a way to escape the inference of superluminal speeds and spooky action at a distance. But it involves absolute determinism in the universe, the complete absence of free will. Suppose the world is super-deterministic, with not just inanimate nature running on behind-the-scenes clockwork, but with our behavior, including our belief that we are free to choose to do one experiment rather than another, absolutely predetermined, including the "decision" by the experimenter to carry out one set of measurements rather than another, the difficulty disappears. There is no need for a faster than light signal to tell particle A what measurement has been carried out on particle B, because the universe, including particle A, already "knows" what that measurement, and its outcome, will be.
https://en.m.wikipedia.org/wiki/Superdeterminism
I think it’s useful to be clear about the dividing line between demonstrated scientific results and our scientific intuitions, even when those intuitions are driven by observed patterns that have been reliable in the past. Intuitions are excellent drivers for formulating new theories and experiments, but it is epistemically dangerous to conflate beliefs and knowledge in our minds.
You see, I think Bell is kind of obfuscating here: this is just normal determinism and it seems to me like Lagrange would have been perfectly fine with this. Causality only, even for the atoms that happen to reside in a human brain.
Edit: what do you mean with your last paragraph? Because I interpret it like this: the belief that interferes is that we have free will and can choose and basically change the past (counterfactuals). But I have a hunch that you mean it like: QM is weird, be careful.
Last paragraph I mean what you interpret — our everyday experience of “free will” may blind us to certain possibilities that we have no strong evidence for or against, just as our everyday experience of a classical world makes QM seem “weird” and unintuitive, even when the experimental evidence is well-established.
There’s a particular curiosity when the possibility of a world without free will calls into question the extent of the power of science itself. Are there other techniques that can provide satisfying arguments about the potential nature of reality in a world where we cannot rely on the power of experiment to reveal this nature?
Edit:
This is a relevant theorem, that nicely complements Bell:
In what sense? It has a <z>=0, meaning there's a statistically 50%/50% chance of measuring 1 or 0 but the system is in principle coherent.
This means that half way through the jump, if you rotated it 90 degrees, you'd measure a _definite_ z value of -1 or 1, or you'd measure a bit value of 0 or 1, depending on whether you twisted it clockwise or counterclockwise.
In the sister comment thread, two photon excitation seems to indicate that this intermediate state (0.5 in your coin example) is not invalid. Can you help me understand better?
Edit: Also, I think your coin "in transition" implicitly assumes that the system has more degrees of freedom than 1 bit (You can only flip a coin in 3 dimensions).
If I understand it correctly, what this seems to imply is that it's not so much a (discontinuous) jump but rather a continuous(-ish) transition from one state to another.
[0] https://en.wikipedia.org/wiki/Two-photon_absorption
[1] https://en.wikipedia.org/wiki/Two-photon_excitation_microsco...
H = omega*planckbar(N + 0.5)
where N is the state counter (number operator).
As a direct reply to your links: So did the fact that two photon excitation works then not make this entire paper not that interesting or novel?
https://www.reddit.com/r/slatestarcodex/comments/bwlhh9/anyo...
https://www.amazon.com/Thinking-Physics-Understandable-Pract... is not free, but also excellent and gentler.
It's about gravity, not quantum field theory, but it's still very sound, very intuitive and explains the principles of the LIGO gravity wave detector. Also contains a bit of speculation about the culture and psychology of scientific creativity which I thought was great.
If you find a similar book on quantum phenomena, please post it!
You should submit this to the main page.
Of course I'm not interested in doing calculations but to appreciate quantum physics you have to know what the formalism behind are about and physicists are unable to explain it in simple terms for reasons I think I make out but can't properly formulate.
As an alternative path, Quantum Models of Cognition and Decision [1], may offer a less steep learning curve for the fact "you are the quantum system" and as such get to have actual experience with phenomena discussed in this book. To clear up the new-age vibe introduced in the last sentence, I think studying the maths through a phenomenon whose ambiguity is not questioned as a metaphysical abyss but is accepted as just being here in its mundane simplicity (semantic ambiguity in daily language use, that kind of thing) alleviates a lot of trouble in grasping what the maths mean in a physics course. Also the book is written for people coming from the fields related to psychology so it's a lot more approachable.
[1] http://bacon.umcs.lublin.pl/~lukasik/wp-content/uploads/2010...
In any event check out "The Mathematics of Quantum Mechanics" by Martin Laforest [1]. Free PDF online, totally readable and easy to follow with typical High School math background.
[1] https://uwaterloo.ca/institute-for-quantum-computing/sites/c...
I'm sure other books like Stephen Hawking's "A Brief history of Time" would be a good starting place too, but I can't speak to that one personally yet.
I spent a couple months going through its backdated articles and it was a great read
> "The strategy reveals that quantum measurement is not about the physical perturbation induced by the probe but about what you know (and what you leave unknown) as a result. “Absence of an event can bring as much information as its presence,” said Devoret."
There isn't actually an energy-time version of the uncertainty principle, at least not the simple one you're assuming here, although many pop science presentations talk as if there is. A good article discussing this is here:
http://www.math.ucr.edu/home/baez/uncertainty.html
For a quantum system transitioning between states, the probability of transition in general will vary as a function of time; how it varies depends on the specific state of the system. There is no general rule that relates the expected transition time to the change in energy. (Note also that not all transitions are between energy eigenstates.)
There seems to be some sort of "hidden variable" there... can anyone explain it?
What the experiment seems to have found is only that the probability of an event occurring changes smoothly over time from 0 to 1, not that there is some underlying exact cause for what the probability is at a given point in time.
They were able to detect this "something", and even prevent the state change.
In my mind, that "something" represents a hidden state or something like it within the synthetic atom.
By which frame of reference? I never understood the language around "instantaneous". Isn't simultaneity relative? So that where one frame of reference says two events are simultaneous, there or others that say they are not?
And while observers disagree on their personal measurements of duration, they will always agree about what a clock sitting at the location will measure.
https://motls.blogspot.com/2019/06/experimenters-and-especia...
[1]: https://en.wikipedia.org/wiki/Many-worlds_interpretation
Only prominent QM scientists. Amateur pundits always knew that they don't magically jump.
There's also 1000 times more stories of crackpots "knowing" everything, from how to do cold fusion, to perpetual machines, to why Relativity or QM is wrong, etc. They even have the diagrams and math to show you they're right.
And yes, some of them even "knew" things verified later - if you have random unsupported opinions some of those will also be legit.
Unless the parent had some actual proof for their insight before the verification, the phrase "This was always pretty clear to anyone who put some serious thought into it" (as if physicists who didn't regard this didn't) is as good as someone saying the same about a coin toss ("hey, it turned out to be heads, anyone could see that").
Were you really unaware that theories are often mistaken? Or perhaps you were making a joke.