1.

Record Nr.

UNINA9910303439103321

Autore

Lang Guillaume

Titolo

Correlations in Low-Dimensional Quantum Gases / / by Guillaume Lang

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-030-05285-0

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (XVII, 193 p. 46 illus., 44 illus. in color.)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5053

Disciplina

539

Soggetti

Phase transformations (Statistical physics)

Condensed materials

Superconductivity

Superconductors

Physics

Quantum Gases and Condensates

Strongly Correlated Systems, Superconductivity

Mathematical Methods in Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Introduction: this thesis -- From 3D to 1D and back to 2D -- Ground-state static correlation functions of the Lieb-Liniger model -- Dynamical structure factor of the Lieb-Liniger model and drag force due to a potential barrier -- Dimensional crossovers in a gas of noninteracting spinless fermions -- General conclusion -- Appendix.

Sommario/riassunto

The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies. Strongly correlated systems of one-dimensional bosons have a long history of theoretical study. Their experimental realisation in ultracold atom experiments is the subject of current research, which took off in the early 2000s. Yet these experiments raise new theoretical questions, just begging to be answered. Correlation functions are readily available for experimental measurements. In this book, they are tackled by means of sophisticated theoretical methods developed in



condensed matter physics and mathematical physics, such as bosonization, the Bethe Ansatz and conformal field theory. Readers are introduced to these techniques, which are subsequently used to investigate many-body static and dynamical correlation functions.