Ebook: From Atom Optics to Quantum Simulation: Interacting Bosons and Fermions in Three-Dimensional Optical Lattice Potentials

This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.

---

This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.

---

This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.
Content:
Front Matter....Pages i-xviii
Introduction....Pages 1-11
Towards Strongly Interacting Bosons and Fermions....Pages 13-58
Hubbard Models for Bosons and Fermions....Pages 59-82
Detection and Observables....Pages 83-98
Experimental Apparatus....Pages 99-120
Interacting Fermions in Optical Lattice Potentials....Pages 121-150
Quantum Revival Spectroscopy and Multi-Body Interactions....Pages 151-192
Interacting Mixtures of Bosons and Fermions in Optical Lattice Potentials....Pages 193-207
Coherent Interaction of a Single Fermion with a Small Bosonic Field....Pages 209-232
Conclusions and Outlook....Pages 233-239
Back Matter....Pages 241-257

---

This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.
Content:
Front Matter....Pages i-xviii
Introduction....Pages 1-11
Towards Strongly Interacting Bosons and Fermions....Pages 13-58
Hubbard Models for Bosons and Fermions....Pages 59-82
Detection and Observables....Pages 83-98
Experimental Apparatus....Pages 99-120
Interacting Fermions in Optical Lattice Potentials....Pages 121-150
Quantum Revival Spectroscopy and Multi-Body Interactions....Pages 151-192
Interacting Mixtures of Bosons and Fermions in Optical Lattice Potentials....Pages 193-207
Coherent Interaction of a Single Fermion with a Small Bosonic Field....Pages 209-232
Conclusions and Outlook....Pages 233-239
Back Matter....Pages 241-257
....