2017/06/30 by Jason R. Webster, Michael Kästner, Michael Kastner · 3 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Constraint (computer-aided design) #Dimension (graph theory) #Distribution (mathematics) #Distribution function #Hilbert space #Mathematical analysis #Mathematics #Parameter space #Phase space #Phase transition #Physical system #Physics #Probability distribution #Pure mathematics #Quantum Mechanics and Applications #Quantum many-body systems #Quantum mechanics #Space (punctuation) #Spin (aerodynamics) #Statistical physics #Thermodynamics #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1007/s10955-018-2016-y
published in Journal of Statistical Physics 171(3), 449-461 (Springer Science+Business Media) · 15 pages, 6 figures
openalex publication_date 2018/03/20 · arxiv created 2018/04/11 · arxiv updated 2018/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by recent experiments with two-component Bose-Einstein condensates, we study fully-connected spin models subject to an additional constraint. The constraint is responsible for the Hilbert space dimension to scale only linearly with the system size. We discuss the unconventional statistical physical and thermodynamic properties of such a system, in particular the absence of concentration of the underlying probability distributions. As a consequence, expectation values are less suitable to characterize such systems, and full distribution functions are required instead. Sharp signatures of phase transitions do not occur in such a setting, but transitions from singly peaked to doubly peaked distribution functions of an "order parameter" may be present.