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What I'm looking for is a molecular system, which we can produce in a lab, that is,

  1. A discrete variable system (ie, a finite dimensional hilbert space)
  2. It has observables that are incompatible with eachother (ie, two observables who's commutators equal $i\hbar$, or equivalently that their corresponding states are fourier transform dials of eachother).

Are there actually molecular systems out there that are relatively inexpensive to produce and measure in a lab?

my2cts
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j00cy
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1 Answers1

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A point defect in a semiconductor or insulator with spin, nuclear or electronic, is such a system. It has a finite number of spin states and not all spin operators commute. It is easy to prepare in a lab. An example is Si:P or the nitrogen vacancy complex in diamond.

my2cts
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