Fix the problem with \sim which was not showing. Use \sim instead.

Author: i2000s

_includes/javascript.html

@@ -9,7 +9,8 @@
     <script src="{{ site.baseurl }}/assets/js/mixitup-mine.js"></script>
     <!-- Equations using MathJax -->
     <script type="text/javascript" src="//cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
-    <script type="text/x-mathjax-config"> MathJax.Hub.Config({ TeX: { equationNumbers: {autoNumber: "all"} } });       </script>
+    <script type="text/x-mathjax-config"> MathJax.Hub.Config({ TeX: { equationNumbers: {autoNumber: "all"}, unicode: { fonts: "STIXGeneral,'Arial Unicode MS'" },
+                extensions: ["AMSmath.js", "AMSsymbols.js", "MathMenu.js", "MathZoom.js"] } });       </script>
     <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: { inlineMath: [['$', '$'],['\\(','\\)'] ], processEscapes: true } }); </script>
     <!-- Self-defined extensions and macros. -->
     <script type="text/x-mathjax-config">

_posts/2017-06-04-damop-2017-talk.md

@@ -36,7 +36,7 @@ My submission has been accepted to be presented as a talk at the [APS 48th Annua
 - Ivan H. Deutsch (University of New Mexico)
 
 ***Abstract***:
-Nanophotonic waveguides strongly enhance the entangling strength of the atom-light interface. We study their application to the generation of spin squeezed states of trapped ultracold cesium atoms in two geometries --- cylindrical optical nanofibers and square waveguides. We consider two different protocols --- squeezing the clock transition by the birefringence coupling and squeezing a spin coherent state via the Faraday interaction. We unify our analysis based on a universal parameter --- the optical depth per atom. In calculating the spin squeezing parameter, we have established a set of stochastic master equations to describe the individual and collective spin dynamics. Our simulation shows that \textasciitilde 10 dB of spin squeezing may be achievable with a few thousands of atoms on these nanophotonic waveguides. Our result can be generalized to other nanophotonic platforms, for implementing non-Gaussian states, and to improve quantum sensing precision using spin squeezing techniques.
+Nanophotonic waveguides strongly enhance the entangling strength of the atom-light interface. We study their application to the generation of spin squeezed states of trapped ultracold cesium atoms in two geometries --- cylindrical optical nanofibers and square waveguides. We consider two different protocols --- squeezing the clock transition by the birefringence coupling and squeezing a spin coherent state via the Faraday interaction. We unify our analysis based on a universal parameter --- the optical depth per atom. In calculating the spin squeezing parameter, we have established a set of stochastic master equations to describe the individual and collective spin dynamics. Our simulation shows that $ \\sim 10$ dB of spin squeezing may be achievable with a few thousands of atoms on these nanophotonic waveguides. Our result can be generalized to other nanophotonic platforms, for implementing non-Gaussian states, and to improve quantum sensing precision using spin squeezing techniques.
 
 ***Presentation Slides and Audio Records***: can be downloaded from [this link](https://github.com/i2000s/2017DAMOP-spin-squeezing-on-nanophotonic-waveguides/releases) under the [CC-BY-4.0 license](https://creativecommons.org/licenses/by/4.0/). Cite with the [![DOI](https://zenodo.org/badge/93832855.svg)](https://zenodo.org/badge/latestdoi/93832855).
 

_posts/2017-11-20-squint-2018-poster.md

@@ -17,10 +17,10 @@ My poster submission to the [20th Annual SQuInT Workshop](http://squint.unm.edu/
 ***Authors***: Xiaodong Qi, Yuan-Yu Jau, Jongmin Lee, and Ivan H. Deutsch
 
 ***Abstract***:
-We study the enhancement of cooperativity in the atom-light interface near a nanophotonic waveguide for application to quantum nondemolition (QND) measurement of atomic spins.  Here the cooperativity per atom is determined by the ratio between the measurement strength and the decoherence rate.  Counterintuitively, we find that by placing the atoms at an azimuthal position where the guided probe mode has the lowest intensity, we increase the cooperativity.  This arises because the QND measurement strength depends on the interference between the probe and scattered light guided into an orthogonal polarization mode, while the decoherence rate depends on the local intensity of the probe.  Thus, by proper choice of geometry, the ratio of good to bad scattering can be strongly enhanced for highly anisotropic modes. We apply this to study spin squeezing resulting from QND measurement of spin projection noise via the Faraday effect in two nanophotonic geometries, a cylindrical nanofiber and a square waveguide.  By using a two-color scheme to cancel the tensor light shift, we find, with about 2500 atoms using realistic experimental parameters, $ \sim 6 $ dB and $ \sim 13 $ dB of squeezing can be achieved on the nanofiber and square waveguide, respectively.
+We study the enhancement of cooperativity in the atom-light interface near a nanophotonic waveguide for application to quantum nondemolition (QND) measurement of atomic spins.  Here the cooperativity per atom is determined by the ratio between the measurement strength and the decoherence rate.  Counterintuitively, we find that by placing the atoms at an azimuthal position where the guided probe mode has the lowest intensity, we increase the cooperativity.  This arises because the QND measurement strength depends on the interference between the probe and scattered light guided into an orthogonal polarization mode, while the decoherence rate depends on the local intensity of the probe.  Thus, by proper choice of geometry, the ratio of good to bad scattering can be strongly enhanced for highly anisotropic modes. We apply this to study spin squeezing resulting from QND measurement of spin projection noise via the Faraday effect in two nanophotonic geometries, a cylindrical nanofiber and a square waveguide.  By using a two-color scheme to cancel the tensor light shift, we find, with about 2500 atoms using realistic experimental parameters, $ \\sim 6 $ dB and $ \\sim 13 $ dB of squeezing can be achieved on the nanofiber and square waveguide, respectively.
 
 + Files can be downloaded from the [repo](https://github.com/i2000s/2018SQuInT-EnhancedCooperativityForSpinSqueezing/releases) (to be uploaded).
 
 + Feel free to comment as an [issue](https://github.com/i2000s/2018SQuInT-EnhancedCooperativityForSpinSqueezing/issues).
 
-+ References will be linked once the related paper manuscript is submitted. 
++ References will be linked once the related paper manuscript is submitted.