Sensitivity of Slope to B
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Sensitivity of Slope to B. GHz -1 /G. B Field (G). 290. 326. Sensitivity of Lock Pt to B. σ +. σ –. 302. 338. MHz/G. 314. 358. M = -1. M = 0. M = +1. Indicates optimal pt. For B≠0. λ/4 plate. Polarizer. B Field (G). PBS. Vapor Cell. LASER. Model Data.

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Transmission

Sensitivity of Slope to B

GHz-1/G

B Field (G)

290

326

Sensitivity of Lock Pt to B

σ+

σ–

302

338

MHz/G

314

358

M = -1

M = 0

M = +1

Indicates optimal pt

For B≠0

λ/4 plate

Polarizer

B Field (G)

PBS

Vapor

Cell

LASER

Model Data

Permanent Magnets

Detectors

100

220

140

260

180

280

Indicates optimal pt

Theoretical Optimization of a DAVLL System for a Rubidium Vapor

Joel A. Greenberg, Andrew M. C. Dawes, Daniel J. Gauthier

Quantum Electronics Lab, Physics Department, Duke University

Introduction

Experimental Data

Here we show sensitivity to B field changes

MOTIVATION:

Experimental Setup

  • Model and optimize a simple, robust, laser frequency lock system

METHOD:

Dichroic Atomic Vapor Laser Lock (DAVLL)1

Temp (K)

  • Zeeman effect shifts energy levels

  • Resonant frequencies shift down/up for σ+/σ-

Model vs. Experiment

Absorption Scan

Difference Signal

  • Subtracting the shifted absorption signals produces a dispersion-like curve suitable as an error signal

Diff Signal

Transmission

Absorption Profile

Difference Signal

Conclusions

σ+ - σ-

σ-

σ+

Frequency (MHz)

Frequency (MHz)

Optimal conditions for a D2 lock in a 7.5cm Rb87 cell:

B~260 G, T~335 K

Optimization

  • Slope = 2 GHz-1

  • Capture range = 0.5 GHz

GOALS:

  • Choose the combination of B and T which :

    • Provides a large but insensitive slope

    • Provides a difference signal with an insensitive lock point

    • Produces a signal which is suitably linear

    • Produces a broad capture range

Sensitivity of Slope to T

  • Within ± 5 K and ±2.5 G of the optimum conditions, the signal fluctuates as:

    • slope sensitivity: <0.5 (1/GHz)/K <0.1 (1/GHz)/G

    • lock point sensitivity: 0 ± 10 KHz/K 50 ± 50 KHz/G

    • capture range variation: 0 ± 20 MHz/K 4 ± 1 MHz/G

GHz-1/K

Here we show sensitivity to temperature changes

Temp (K)

The Model

B Field(G)

Sensitivity of Lock Pt to T

MHz/K

Citations

1) Corwin, Lu, Hand, Epstein, Wieman: Appl. Opt. 37, 3295 (1998)

2) Beverini, Marsili, Ruffini, Sorrentino: Appl. Phys. B 73, 133-138 (2001)

Hamiltonian

Output intensity 2

Temp (K)

Funding

US Army Research Office (grant # W911NF-05-1-0228)


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