# Schrödinger's Cat on Catnip

Schrödinger's Cat on Catnip

Schrödinger in 1935 proposed a gedankenexperiment questioning whether the worldview of the Copenhagen interpretation of quantum mechanics might apply also to phenomena on a macroscopic scale. In the version of the experiment described in this Demonstration, a cat is enclosed in an opaque box and a spray of catnip is released. Initially, the cat is in a perturbed state, resentful of being cooped up in a dark box. But, as the catnip begins to act, the cat will eventually relax into a blissful state. According to the Copenhagen interpretation, the time-dependent quantum state of the cat might be described by a wavefunction , (). However, the instantaneous state of the cat cannot be known until the box is opened, thus achieving a "reduction of the wavefunction" to one of two observable "pure" cat states, or with probabilities and , respectively. In a sense, the state is "created" only after an actual measurement is made.

Ψ(t)=tJ+L

1-t

2

0≤t≤1

J

L

t

2

1-t

2

In stark contrast, the time-dependent Schrödinger equation is completely determinate, with the superposition explicitly known as a function of time. This can, in concept, be exhibited by selecting "show quantum superposition," but it is, in fact, inaccessible to human perception!

Ψ(t)

The current consensus on Schrödinger's cat is that such quantum superposition cannot occur on a macroscopic level (the cat actually knows what is happening) because of decoherence. (Proponents of the "many-worlds interpretation" of quantum mechanics would argue that all possible outcomes do occur, thereby creating parallel universes.) In any event, on an atomic level, possibly within the feline's catnip receptors, quantum superposition can still occur. Numerous experiments on atomic ions have since been able to detect interference between wavepackets representing a single microscopic system in separated regions of space. (Inevitably, some such entities have been dubbed Schrödinger's cations.)