Abstract
Multi-component systems play a central role in quantum many-body physics. From interacting atoms and photons to electrons and phonons, the interplay of interactions in binary mixtures gives rise to intriguing quantum phenomena such as superradiance, BCS superfluidity or polaron physics[1–4] . Recently, the problem of impurities embedded in an external quantum environment has also shifted into the focus of ultracold atom experiments. For example, fermionic spin impurities in a Fermi sea have lead to the observation of a Fermi polaron [5, 6] and the interactions between a single ion and a Bose-Einstein condensate have been studied [7, 8]. When such impurity systems are scaled down to the few-body regime, they can share important properties with models for atomic nuclei [9]
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Notes
- 1.
For the technical details of the numerical Fourier analysis see Appendix D.
- 2.
For typical lattice depths used in experiments (below \(50\) \(E_\mathrm{{rec}}\)) the harmonic approximation of a lattice site typically entails large errors, because the actual on-site wavefunction in a sinusoidal lattice deviates significantly from the Gaussian ground state wavefunction of a harmonic oscillator potential. Consequently, the interaction energy \(U\) and even more the tunneling coupling \(J\) deviate from their actual values (see Chap. 3).
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Will, S. (2013). Coherent Interaction of a Single Fermion with a Small Bosonic Field. In: From Atom Optics to Quantum Simulation. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33633-1_9
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