Strongly Interacting Quantum Systems, Volume 2
Description
This book presents a unique approach to non-perturbative Quantum Many Body Physics. Instead of focusing on the standard approaches, it builds our understanding of these systems by using methods that traditionally pertain to few-body physics, allowing for strong interactions to be tackled from a solid and well-understood foundation. The covered topics range from exactly solvable models, which are known to require only two-particle input, and Bose-Fermi mappings, which are fully non-perturbative, to the physics of few-body systems embedded in many-body media. The book is intended as a detailed advanced tutorial for young and experienced researchers that want to delve deeper into this exciting field.
Key Features:
- Many worked examples of representative quantum systems, together with their physical interpretations and the main consequences of their solutions.
- Set of problems at the end of each chapter, not meant to complement the theory, but to give the reader dexterity in using the chapter's methodologies.
- Timely discussion of a recently developed, and very active field summarised as "From Few- to Many-Body Quantum Physics of Strongly Interacting Particles", and the physics of interacting quantum systems in inhomogeneous media.
- First, coherent, detailed monograph on the theory and methods of the field.
- Presents a rigorous account of the modern approaches to low-energy collisions and their use in few- and many-body physics, which have not appeared in book format.
- The book is relevant to a wide range of researchers and advanced students, from atomic and condensed matter physics, to photonics and nuclear physics.
- Written by pioneers and true experts in the field
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Persons
Manuel Valiente did his PhD on the physics of few interacting quantum particles in optical lattices, graduating from the Humboldt-Universitaet zu Berlin (Germany) in 2010, with research done as a Marie-Curie Early Stage Researcher at the Institute for Electronic Structure & Laser - FoRTH in Heraklion, Crete. He then moved to Aarhus University as a postdoctoral researcher where he started to work on using few-body concepts to describe non-perturbative effects in the many-body problem. After that, he spent six years at Heriot-Watt University before joining the Faculty at the Institute of Advanced Study, Tsinghua University as an Associate Member. He was granted a prestigious Tenure Track "Ramón y Cajal" Fellowship and is now an Associate Professor at the University of Murcia. His current research interests revolve around the description of strong interactions and universality in the few- and many-body problems in ultracold atomic and condensed matter physics, including topologically nontrivial systems.
After graduate work in theoretical nuclear physics and astrophysics, Dr. Zinner moved into cold atomic gases and condensed matter physics, securing individual grants to be able to pursue his own ideas and venture into new fields with great success. Dr. Zinner has contributed high-quality papers in all fields he has worked in thus far. The Elite Research Prize grant (2011) and Sapere Aude Starting Grant (2013) have enabled Dr. Zinner to build a group early on in his career and gain research management skills. These prize grants are highly competitive and given solely on merit and excellence. Through these grants, Dr. Zinner has been able to strengthen international collaborations and to become an independent research group leader and authority in the field of few-body physics, giving plenary talks at major conferences. Dr. Zinner is also the recipient of a new three-year fellowship at Aarhus Institute of Advanced Studies, a prestigious interdisciplinary research institute. With more than 130 papers, among them 10 singly authored papers and another 13 as first author, and three review papers. Dr. Zinner has a great publication record for his career level. In 2017, Dr. Zinner received a prestigious Carlsberg Foundation Distinguished Associate Professor grant to work on quantum dynamics, a grant that recognizes and funds a select few of the top young researchers in Denmark across fields. The grant has allowed a long-term collaboration with experimental superconducting circuit groups around the world.
Content
Preface
Author biographies
1 Short-distance universality
2 Bose-Fermi mapping and strongly interacting one-dimensional systems
3 Virial expansions
4 Few-body systems embedded in a many-body medium
5 Strong microscopic interactions-weakly-coupled many-body systems
Appendix A: Definitions of correlation functions
