TY - BOOK AU - Endres,Manuel TI - Probing correlated quantum many-body systems at the single-particle level T2 - Springer theses SN - 9783319057521 U1 - 530.144 23 PY - 2014/// CY - Switzerland PB - Springer KW - Many-body problem. KW - Physics N1 - Doctoral thesis accepted by Ludwig Maximilian University of Munich, Germany; Includes bibliographical references; 1. Introduction -- 2. Superfluid-Mott-insulator transition -- 3. Overview of the experimental procedure -- 4. Single-site-resolved imaging and thermometry of atomic limit Mott insulators -- 5. Detection of particle-hole pairs using two-site correlation functions -- 6. Non-local correlations in one dimension -- 7. Non-local correlations in two dimensions, duality and distribution functions -- 8. Introduction to amplitude and phase modes -- 9. Detection of the Higgs amplitude mode at the 2d SF-Mott-insulator transition -- 10. Outlook -- Appendixes N2 - This book describes a new approach to probing quantum many-body systems at the level of individual particles: Using high-resolution, single-particle-resolved imaging and manipulation of strongly correlated atoms, single atoms can be detected and manipulated due to the large length and time-scales and the precise control of internal degrees of freedom. Such techniques lay stepping stones for the experimental exploration of new quantum many-body phenomena and applications thereof, such as quantum simulation and quantum information, through the design of systems at the microscopic scale and the measurement of previously inaccessible observables. ER -