Customer Reviews

Introductory Quantum Optics

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I am a mathematician who is very familiar with electrodynamics and quantum mechanics.
I read this book to teach myself quantum optics.
Since I read it as a self-study text,
I will review it from that perspective.
Some of the weaknesses noted might be less important for a classroom text.

The Gerry/Knight text is billed as suitable for
"senior undergraduates and beginning postgraduates", but
I fear that undergraduates who attempt it as a self-study text
are likely to end up frustrated.
I can't recall ever encountering an undergraduate with a background in mathematics and quantum mechanics
sufficient to read this book in a reasonable time without the guidance of an instructor.
If used for self-study, I think that minimal prerequisites
would be a graduate level understanding of abstract linear algebra and quantum mechanics.
Some familiarity with Fock space and the theory of operators on infinite-dimensional Hilbert spaces would be desirable.

Because the book is intended for beginners,
the authors take pains to explain many things which a beginner might not know.
Most of the explanations were careful and helpful, but I was dissatisfied with some.
I read the book cover to cover and was able to follow most of it,
but some of it (e.g, much of the chapter on decoherence)
is still a mystery to me.

Chapter 9 describes recent experiments in quantum optics which
demonstrate amazing properties of light unimaginable from a classical perspective.
The presentations of the physical setups give just the right amount of detail for clear understanding.
The diagrams are good.
However, I felt that the mathematical analyses would be easier
for those with good backgrounds if done on a higher level,
and some of the physical discussions seemed obscure.

Given the authors' intended audience,
it may be unreasonable to quarrel with their choice of mathematical level.
However, it is truly unfortunate that some of
their calculational details seem actually wrong.
For example, in Section 9.3's discussion of a ``quantum eraser'',
several terms appear to be omitted from equation (9.21),
which invalidates some of the subsequent discussion.
Moreover, the discussion is obscure and seems of questionable validity even were the text's (9.21) correct.
More details can be found on my website.

I noticed only a few errors which would affect the physics,
but there are too many mathematical errors and
an unusually large number of typos.
Most of the typos are relatively insignificant,
but nevertheless distracting.
Readers should be prepared to check everything.

My copy is by now riddled with underlined statements with marginal notes
like "Why?", or "What does this mean?"
As I progressed through the book and my understanding deepened,
many of these "Why's" were erased, but quite a few remain.

The reader who wants to learn quantum optics and has
the necessary mathematical background may wish that
parts of the book were more carefully written,
but he will not be fundamentally disappointed.
This is a good book from which I learned a lot.
It seems much clearer than Scully and Zubairy's
Quantum Optics, which I read previously.

My brand new paperback copy is falling apart after only a few weeks of careful use at home.
A book this good deserves a more durable binding.