How to Measure Berry Phase in a Magnetic Field?

Click For Summary
SUMMARY

This discussion focuses on measuring Berry phase in a magnetic field, specifically when a spin-1/2 particle is subjected to an external magnetic field that traces a loop on a sphere. Key methods mentioned include splitting a particle beam, allowing one part to pass through an adiabatically changing potential, and then recombining the beams to analyze the resultant wave function. Additionally, a double slit interference experiment utilizing a current-carrying solenoid is proposed, which introduces a phase difference affecting the interference pattern. References to D. J. Griffiths' "Introduction to Quantum Mechanics" and the Feynman Lectures are provided for further reading.

PREREQUISITES
  • Understanding of Berry phase in quantum mechanics
  • Familiarity with spin-1/2 particles and magnetic fields
  • Knowledge of adiabatic processes in quantum systems
  • Experience with interference experiments in quantum mechanics
NEXT STEPS
  • Study the measurement techniques for Berry phase in quantum systems
  • Explore the implications of adiabatic changes in potential on particle behavior
  • Research double slit experiments with magnetic fields and phase shifts
  • Read D. J. Griffiths' "Introduction to Quantum Mechanics" for foundational concepts
USEFUL FOR

Quantum physicists, experimental physicists, and students of quantum mechanics interested in the practical measurement of Berry phase and its implications in quantum systems.

wdlang
Messages
306
Reaction score
0
i have no idea of how to measure a berry phase

take a 1/2 spin in an external magnetic field

it is well known that this system can exhibit berry phase if the external magnetic field B takes a loop on the sphere.

but how to measure the berry phase?

how to separate the berry phase from the dynamical phase?

anyone have any idea?
 
Physics news on Phys.org
I'm looking at D. J. Griffiths' intro to QM. I regards to Berry's phase he says one could split a particle beam into two, have one part go through an adiabatically changing potential, and recombine the beams and measure the new wave function (definitely open-ended).

According to the Feynman lectures, you could do a double slit interference experiment with a current-carrying solenoid between the slits and screen. The solenoid will cause a phase difference in the particles, causing the interference pattern to shift on the screen.

Check out the Feynman Lectures Vol II 15-12. I'm not a great experimentalist, so the details are up to you.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 22 ·
Replies
22
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 15 ·
Replies
15
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 49 ·
2
Replies
49
Views
6K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K