Too much horizontal space in an alignat environment

Question

I'm having a bit too much horizontal space in this MWE, and want a normal spacing:

\documentclass[11pt,letterpaper,twoside]{book}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage[total={6in,10in},left=1.5in,top=0.5in,includehead,includefoot]{geometry}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}

\begin{document}

\begin{subequations}
\begin{alignat}{2}
    \phi \quad &\Rightarrow \quad \tilde{\phi} &&= e^{-\, i q \vartheta} \, \phi, \\[1ex]
    A_{\mu} \quad &\Rightarrow \quad \tilde{A}_{\mu} &&= A_{\mu} + \partial_{\mu} \, \vartheta,
\end{alignat}
\end{subequations}

\end{document}

Here's a preview of the problem, shown in red:

I need the arrows and the equal signs to be aligned, and I want the same normal space on each sides of these symbols. Currently, there's too much space after the \phi symbol. How can I fix that without hacking (i.e. without adding phantom tricks)?

Answer 1

You can move the &'s.

\documentclass[11pt,letterpaper,twoside]{book}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage[total={6in,10in},left=1.5in,top=0.5in,includehead,includefoot]{geometry}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}

\begin{document}

\begin{subequations}
\begin{alignat}{2}
    \phi    \quad & \Rightarrow \quad & \tilde{\phi}    & = e^{-\, i q \vartheta} \, \phi, \\[1ex]
    A_{\mu} \quad & \Rightarrow \quad & \tilde{A}_{\mu} & = A_{\mu} + \partial_{\mu} \, \vartheta,
\end{alignat}
\end{subequations}

\end{document}

Answer 2

Move one of alignment signs & in front of the \phi and A.

\documentclass[11pt,letterpaper,twoside]{book}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage[total={6in,10in},left=1.5in,top=0.5in,includehead,includefoot]{geometry}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}

\begin{document}

\begin{subequations}
\begin{alignat}{2}
    \phi \quad &\Rightarrow \quad &\tilde{\phi} &= e^{-\, i q \vartheta} \, \phi, \\[1ex]
    A_{\mu} \quad &\Rightarrow \quad &\tilde{A}_{\mu} &= A_{\mu} + \partial_{\mu} \, \vartheta,
\end{alignat}
\end{subequations}

\end{document}