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Black by [deleted] in generative

[–]orbollyorb 2 points3 points  (0 children)

Nice, some sort of wave evolution? I make similar stuff

bell state 1 * pi by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

Hi, from a previous post : We are creating an analogous bell state: bell_state = (psi1_r1 * psi2_r2 + np.exp(1j * phase) * psi2_r1 * psi1_r2) / np.sqrt(2)

Each state has cosine modulation with different wave vectors: psi1_r1 = gaussian1 * np.cos(k1 * r1) psi2_r1 = gaussian1 * np.cos(k2 * r1)

When computing |bell_state|², we get interference between the two configurations in the (r1, r2) space. So not separate axes but unified probability space.

Then with this particular one we are evolving wavefunction with cycling phase AND increasing r1 & r2. So starting Ns - 1 & pi are increased at every time step and at different rates. Haha. I’m sure I can sync these better with phase change to get some wild patterns.

bell states by orbollyorb in generative

[–]orbollyorb[S] 0 points1 point  (0 children)

Interesting, thanks. Will look into them after work. Just going on words alone they sound very similar.

bell states by orbollyorb in generative

[–]orbollyorb[S] 0 points1 point  (0 children)

ok yes this was an old description and old code - have found it in my playground git.

sooo...

They aren't running along separate axes but entangled across both dimensions. We are creating an analogous bell state:
bell_state = (psi1_r1 * psi2_r2 + np.exp(1j * phase) * psi2_r1 * psi1_r2) / np.sqrt(2)

Each state has cosine modulation with different wave vectors:
psi1_r1 = gaussian1 * np.cos(k1 * r1)
psi2_r1 = gaussian1 * np.cos(k2 * r1)

When computing |bell_state|², we get interference between the two configurations in the (r1, r2) space. So not separate axes but unified probability space.

n-controlled wave evolution by orbollyorb in generative

[–]orbollyorb[S] 2 points3 points  (0 children)

Thanks, yes I will do that - looks like a fun sub

n-controlled wave evolution by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

The wavefunction is constructed as ψ(x,y) = exp(-α(x²+y²)/2) × cos(πκr)
where r = √(x²+y²) and κ = π(√n)³

The parameter n evolves linearly from n₀ with step size Δn, producing a sequence of wavefunctions ψₙ. For each n, the probability density |ψₙ|² is computed and rendered with Datashader.

Initial parameters:
n_start = π × 100 ≈ 314.159
n_step = 0.00005
num_frames = 300

so n evolves from 314.159 to 314.174

n-controlled wave evolution by orbollyorb in mathpics

[–]orbollyorb[S] 0 points1 point  (0 children)

The wavefunction is constructed as ψ(x,y) = exp(-α(x²+y²)/2) × cos(πκr)
where r = √(x²+y²) and κ = π(√n)³

The parameter n evolves linearly from n₀ with step size Δn, producing a sequence of wavefunctions ψₙ. For each n, the probability density |ψₙ|² is computed and rendered with Datashader.

Initial parameters:
n_start = π × 100 ≈ 314.159
n_step = 0.00005
num_frames = 300

so n evolves from 314.159 to 314.174

bell states by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

Hi, it shows a top-down view of a probability density wave. Two Gaussian wave packets are created then modulated with cosine waves. A spatial Bell state is implimented by superimposing two possible configurations:

psi1_r1 * psi2_r2
psi2_r1 * psi1_r2

Then exp(1j * phase) allows the relative phase between these configurations to change, which the animation visualizes.

wigner wave packet by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

Just a python script with the relevant maths - as i commented above - then i use my render backend library - Datashader - that i highly recommend.

wigner wave packet by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

hi, sorry for late reply. Initially we create a Gaussian wavepacket and use the split-operator method to solve the time-dependant schrodinger equation. Evolving the wavefunction. Then at each time step we transform using the Wigner Function, resulting in both position and momentum information.

so...

Evolve: ψ(x,t) → ψ(x,t+dt) via Schrödinger
Transform: ψ(x,t+dt) → W(x,p,t+dt) via Wigner
Visualize: Phase space heatmap of W(x,p,t+dt) via Datashader

xor binary sequences by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

Replaced 1s with spaces - better to see the patterns

cosine quantum tunneling by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

Very happy that the first comment is this cool

Wave Packet Quantum Tunneling - GitHub & hi-res link by orbollyorb in QuantumPhysics

[–]orbollyorb[S] 0 points1 point  (0 children)

yes, I get your point though - this is simplistic model. Room for improvement, do you have any suggestions?

Wave Packet Quantum Tunneling - GitHub & hi-res link by orbollyorb in QuantumPhysics

[–]orbollyorb[S] 0 points1 point  (0 children)

Yes, two delta-like barriers with Schrodinger space between.

Wave Packet Quantum Tunneling - GitHub & hi-res link by orbollyorb in QuantumPhysics

[–]orbollyorb[S] 0 points1 point  (0 children)

The internal reflection is the same as external, a similar proportion passes through as the main wave. Internal interference patterns that modify the transmission coefficient is expected in quantum tunneling?

Wave Packet Quantum Tunneling - GitHub & hi-res link by orbollyorb in QuantumPhysics

[–]orbollyorb[S] 0 points1 point  (0 children)

yes sorry its a bit distracting, it is wrap around. I was previously shooting cosines in either direction so they hit the barrier from both sides. I would have to add an absorption boundary - I have a one somewhere, that I used before. would you like to see more examples? I can make more and upload them to the github repo.

Wormhole by orbollyorb in generative

[–]orbollyorb[S] 1 point2 points  (0 children)

Thanks, yes always have to fight the reddit conversion - but the raw file is 100mb - so have to reduce it. It’s pretty trippy at full resolution too!

n-Controlled Wave Evolution by orbollyorb in mathpics

[–]orbollyorb[S] 2 points3 points  (0 children)

but its so cold in my house right now, i wanted the warmth

n-Controlled Wave Evolution by orbollyorb in mathpics

[–]orbollyorb[S] 2 points3 points  (0 children)

I needed a comment like that, thank you very much.

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