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Quantum mechanics. Quantumfield theory --- Mathematical statistics --- Anyons --- Quantum theory. --- Quantum statistics. --- Théorie quantique --- Statistique quantique --- Statistical methods. --- Théorie quantique --- ANYONS --- QUANTUM STATISTICS --- QUANTUM THEORY --- STATISTICAL METHODS

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This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics.Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas.The second part of the book includes a detailed discussion

Anyons --- Quantum theory. --- Quantum statistics. --- Particles (Nuclear physics) --- Quantum statistical mechanics --- Matrix mechanics --- Statistical mechanics --- Wave mechanics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Statistical methods.

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The Special Issue contains theoretical and experimental works that report on studies of impurities in quantum gases, fundamental properties and universal aspects of quasiparticles and other related many-body phenomena. Particular focus is placed on the Fermi and Bose polarons. The Special Issue contains ten research articles and two reviews. M. G. Skou et al. report on the experimental observation of time dynamics of Bose polarons. Theoretical studies by H. Tajima et al., L. A. Ardila, and G. Panochko and V. Pastukhov touch upon the physics of multiple impurities, in particular, the induced impurity–impurity interactions in different spatial dimensions and the formation of multi-polaron states. G. M. Koutentakis et al. elaborate on the phenomenon of temporal orthogonality catastrophe in low dimensions. Polaritons in an electron gas are discussed by M. A. Bastarrachea-Magnani et al. M. Brooks et al. describe the emergence of anyons originating from angulons. F. Scazza et al. provide an overview of our current understanding of repulsive Bose and Fermi polarons. C. D’Errico and M. G. Tarallo explicate the effects of disorder in bosonic systems. The Special Issue also includes studies of correlated atom pairs in bosonic mixtures by O. Alon, the behavior of the three-body decay rate coefficients into shallow dimers in mass-imbalanced three-atom systems by P. Giannakeas and C. H. Greene, population and angular momentum transfer in Raman-coupled Bose–Einstein condensates by K. Mukherjee et al.

Research & information: general --- Physics --- Bose–Einstein condensate --- Laguerre–Gaussian --- Raman transition --- cold atoms --- light–matter interaction --- particle transfer --- density pattern --- polaron --- impurity --- spectroscopy of quasiparticles --- interpolaron correlations --- quantum depletion --- ultracold atoms --- Fermi degenerate gases --- Bose–Einstein condensates --- impurity dynamics --- ramsey interferometry --- polarons --- polariton --- Fermi polaron --- Landau theory --- quasiparticle interactions --- mixtures --- identical-boson pairs --- distinguishable-boson pairs --- natural geminals --- natural orbitals --- reduced density matrices --- intra-species reduced density matrices --- inter-species reduced density matrices --- fragmentation --- condensation --- infinite-particle-number limit --- harmonic-interaction models --- pair fragmentation --- Schmidt decomposition --- center-of-mass --- relative center-of-mass --- anyons --- quasiparticles --- Quantum Hall Effect --- topological states of matter --- few-body collisions --- Efimov effect --- mass-imbalanced systems --- recombination --- cold gases in optical lattices --- quantum phase transitions --- disordered systems --- Bose polaron --- pattern formation --- temporal orthogonality catastrophe --- Lee-Low-Pines transformation --- mobile and immobile impurities --- Bose polaron and bipolaron --- effective field theory approach --- induced interaction --- polaron–polaron interaction --- gas of impurities --- quantum–Monte Carlo --- Fermi polarons --- Bose polarons --- repulsive interactions --- metastable quasiparticles --- quasiparticle lifetime --- mediated interactions --- repulsive Fermi gas --- ultracold atomic mixtures