How to quantize a system in cubic well

  • Thread starter Thread starter jianli
  • Start date Start date
  • Tags Tags
    Cubic System
jianli
Messages
3
Reaction score
0
Hi, all,
I'm studying the superconducting qubit based on current-biased josephson junction. The system can be considered as a particle in a washboard well, or a cubic well. The two states |0> and |1> are the ground and the first excited ones. But How to quantize the cubic well.
Could anyone give me some hint or suggestion?
Thanks.
 
Physics news on Phys.org
jianli said:
But How to quantize the cubic well.
Could anyone give me some hint or suggestion?
Thanks.

I would naively think that separation of variables gives you 3 times a one-dimensional well, no ?

cheers,
Patrick.
 
It will indeed separate so then you just have to be careful about counting modes, etc. and degeneracies. If it is truly cubic (the lengths of each side are the same), then there there are 3 degenerate modes for the first excited state.
 
Thanks to Vanesch and David. I'll try it.
 

Thread 'Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
View full post »

Thread 'Quantum behaviour of an electron around a positively charged sphere'

If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
View full post »

Thread 'Does a qubit break interference in the double slit experiment?'

According to recent podcast between Jacob Barandes and Sean Carroll, Barandes claims that putting a sensitive qubit near one of the slits of a double slit interference experiment is sufficient to break the interference pattern. Here are his words from the official transcript: Is that true? Caveats I see: The qubit is a quantum object, so if the particle was in a superposition of up and down, the qubit can be in a superposition too. Measuring the qubit in an orthogonal direction might...
View full post »

Similar threads

A Can anyone give me the details of creating a cat state in Circuit QED?
Replies
16
Views
3K
I How can there be an Uncertain Momentum at a Specific Energy?
Replies
13
Views
2K
I Representing Quantum Gates in Tensor Product Space
Replies
1
Views
2K
Proving Orthogonality by Induction in Second Quantization for Bosonic Systems
Replies
2
Views
1K
B Is spacetime a quantum error correcting code?
Replies
2
Views
3K
A Overlap of Ground States in Quantum Field Theory
Replies
5
Views
2K
Quantum anharmonic (cubic) oscillator.
Replies
2
Views
6K
I Understanding the scalar field quantization
Replies
5
Views
3K
A Quantization isn't fundamental
4
Replies
163
Views
26K
Visualising Potential Wells in Two Body Systems
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top