benchmarks.wiki / Public workspace
CritPt / Challenge_54_main / A magic wavelength is a special wavelength of light at which the AC Stark shift…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
code template
Code
def answer():
r"""
Return the values of all magic wavelengths from 400 nm to 600 nm and associated transition types for Yb 171 and Yb 174.
Inputs
----------
None
Outputs
----------
Yb_171: set[tuple[int,str]]
A set of `(magic_wavelength, transition_type)` tuples for Yb 171.
magic_wavelength is a rounded integer (nm) in [400, 600] and transition_type is either 'sigma' or 'pi'.
Yb_174: set[tuple[int,str]]
A set of `(magic wavelength, transition type)` tuples for Yb 174.
magic_wavelength is a rounded integer (nm) in [400, 600] and transition_type is either 'sigma' or 'pi'.
"""
# ------------------ FILL IN YOUR RESULTS BELOW ------------------
Yb_171 = ...
Yb_174 = ...
# ---------------------------------------------------------------
return Yb_171, Yb_174problem description
# Problem setup:
A magic wavelength is a special wavelength of light at which the AC Stark shift is the same for two atomic states, typically involving an optical transition. Here we want to find the magic wavelengths for imaging ytterbium (Yb) atoms using the green-light transitions between its ground-state manifold and
$^3P_1$ state.
# Main problem:
Calculate the magic wavelengths for imaging the ground state of Yb atoms using the transitions between the ground state and the excited state $^3P_1$ for two Yb isotopes, Yb-171 and Yb-174, within the wavelength range from 400 nm to 600 nm. For each magic wavelength, give the associated transition type (choose from and ).Plain-text mathematical notation (without MathML)
# Problem setup: A magic wavelength is a special wavelength of light at which the AC Stark shift is the same for two atomic states, typically involving an optical transition. Here we want to find the magic wavelengths for imaging ytterbium (Yb) atoms using the green-light transitions between its ground-state manifold and $^3P_1$ state. # Main problem: Calculate the magic wavelengths for imaging the ground state of Yb atoms using the transitions between the ground state and the excited state $^3P_1$ for two Yb isotopes, Yb-171 and Yb-174, within the wavelength range from 400 nm to 600 nm. For each magic wavelength, give the associated transition type (choose from σ and π).
Original LaTeX notation
# Problem setup: A magic wavelength is a special wavelength of light at which the AC Stark shift is the same for two atomic states, typically involving an optical transition. Here we want to find the magic wavelengths for imaging ytterbium (Yb) atoms using the green-light transitions between its ground-state manifold and $^3P_1$ state. # Main problem: Calculate the magic wavelengths for imaging the ground state of Yb atoms using the transitions between the ground state and the excited state $^3P_1$ for two Yb isotopes, Yb-171 and Yb-174, within the wavelength range from 400 nm to 600 nm. For each magic wavelength, give the associated transition type (choose from $\sigma$ and $\pi$).
Discussion
No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
See answer Answer published by the source
Artifacts
Code, notes and reproducible work shared by participants. Files are served from a separate origin.
No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
Source and history
initial import