Strongly interacting quantum systems.

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"Version: 20251001"--Title page verso.Includes bibliographical references.1. Short-distance universality -- 1.1. Two-body physics at short distances -- 1.2. A matter of scales : atoms and nuclei -- 1.3. Weak short-range universality -- 1.4. Strong short-range universality : Tan's relations -- 1.5. Tan's relations in one spatial dimension2. Bose-Fermi mapping and strongly interacting one-dimensional systems -- 2.1. Bose-Fermi duality for hard core interactions -- 2.2. Bethe Ansatz solution of the Lieb-Liniger model -- 2.3. Attractive Lieb-Liniger model. McGuire's solution -- 2.4. Spinless Bose-Fermi duality without hard cores -- 2.5. Richardson-Gaudin models -- 2.6. Luttinger liquids -- 2.7. Liberating the independent pair approximation from the Fermi sea -- 2.8. Trapped multicomponent systems3. Virial expansions -- 3.1. Classical virial expansion -- 3.2. Quantum virial expansion4. Few-body systems embedded in a many-body medium -- 4.1. Impurities -- 4.2. Fermionic polarons -- 4.3. Casimir interaction in mixtures of heavy and light fermions5. Strong microscopic interactions--weakly-coupled many-body systems -- 5.1. Three-dimensional spin model in the dilute limit -- 5.2. Resonant one-dimensional bosons -- Appendix A. Definitions of correlation functions.Full-text restricted to subscribers or individual document purchasers.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.Part of IOP Series in Quantum Technology.Researchers and PhD students.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.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 "Ram?on 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.Title from PDF title page (viewed on November 10, 2025).

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: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750330916

Classification

530.12

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Subject(s)

SCIENCE / Physics / Quantum Theory.
Many-body problem.
Quantum systems.

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Statement of Responsibility

Manuel Valiente, Nikolaj Thomas Zinner.

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