Quantum physics has intrigued scientists and philosophers alike, because it challenges our notions of reality and locality-concepts that we have grown to rely on in our macroscopic world. It is an intriguing open question whether the linearity of quantum mechanics extends into the macroscopic domain. Scientific progress over the last decades inspires hope that this debate may be decided by table-top experiments.
IntroductionThe last three decades have witnessed what has been termed 1 the second quantum revolution: A renaissance of research on the quantum foundations, hand in hand with growing experimental capabilities, 2 revived the idea of exploiting quantum superpositions for technological applications, from information science [3][4][5] to precision metrology. [6][7][8] Quantum mechanics has passed all precision tests with flying colors, but it still seems to be in conflict with our common sense. Since quantum theory knows no boundaries everything should fall under the sway of the superposition principle, including macroscopic objects. This is at the bottom of Schrödinger's thought experiment transforming a cat into a state which strikes us as classically impossible. And yet, 'Schrödinger kittens' of entangled photons 9 and ions 10 have been realized in the lab.So why are the objects around us never found in superpositions of states that would be excluded in a classical description? One may emphasize the smallness of Planck's constant, or point to decoherence theory, which describes how a system will effectively lose its quantum features when coupled to a quantum environment of sufficient size. 11,12 The formalism of decoherence, however, is based on the framework of unitary quantum mechanics, implying that some interpretational exercise is required not to become entangled in a multitude of parallel worlds. 13 More radically, one may ask whether quantum mechanics breaks down beyond a certain mass or complexity scale. As will be discussed below, such ideas can be motivated by the apparent incompatibility of quantum theory and general relativity. It is safe to state, in any case, that quantum superpositions of truly massive, complex objects are terra incognita. This makes them an attractive challenge for a growing number of sophisticated experiments.We start by reviewing several prototypical tests of the superposition principle, focusing on the quantum states of motion displayed by material objects. Particle position and momentum variables have a well-defined classical analogue, and they are therefore particularly suited to probe the macroscopic domain. We note that aspects of macroscopicity can also be addressed in experiments with photons, [14][15][16] Figure 1A): The single-valuedness of the wave function entails that the magnetic flux encircled by a closed-loop supercurrent must be quantized. In particular, one can define a symmetric and an antisymmetric linear combination of two supercurrents, which circulate simultaneously in opposing directions. Billions of electrons may contribute coherently to the wave...