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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

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New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevatorsControl applications in undersea construction, cable elevators, and offshore drilling present major methodological challenges because they involve PDE systems (cables and drillstrings) of time-varying length, coupled with ODE systems (the attached loads or tools) that usually have unknown parameters and unmeasured states. In PDE Control of String-Actuated Motion, Ji Wang and Miroslav Krstic develop control algorithms for these complex PDE-ODE systems evolving on time-varying domains.Motivated by physical systems, the book’s algorithms are designed to operate, with rigorous mathematical guarantees, in the presence of real-world challenges, such as unknown parameters, unmeasured distributed states, environmental disturbances, delays, and event-triggered implementations. The book leverages the power of the PDE backstepping approach and expands its scope in many directions.Filled with theoretical innovations and comprehensive in its coverage, PDE Control of String-Actuated Motion provides new design tools and mathematical techniques with far-reaching potential in adaptive control, delay systems, and event-triggered control.

Boundary value problems. --- Cables --- Control theory. --- Differential equations, Partial. --- Equations of motion. --- Loads (Mechanics) --- Loads (Mechanics). --- SCIENCE / Mechanics / Dynamics. --- Vibration. --- Strains and stresses --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Motion equations --- Mechanics --- Lagrange equations --- Partial differential equations --- Dynamics --- Machine theory --- Accelerometer. --- Actuator. --- Adaptive control. --- Aircraft. --- Algorithm. --- Altitude. --- Ammeter. --- Amplitude. --- Angle of attack. --- Attitude control. --- Belt (mechanical). --- Bending. --- Buoyancy. --- Cape Crozier. --- Center of mass (relativistic). --- Center of pressure (fluid mechanics). --- Centrality. --- Centrifugal force. --- Chemical bond. --- Coanda effect. --- Combination. --- Compressibility. --- Contact force. --- Contour line. --- Control limits. --- Control reversal. --- Control variable. --- Convection. --- Coordinate system. --- Coupling. --- Drill bit. --- Dynamic pressure. --- Eigenfunction. --- Elastic instability. --- Elevon. --- Empennage. --- Equation. --- Flapper valve. --- Flight control surfaces. --- Force. --- Frequency domain. --- Frequency response. --- Fuselage. --- Gangway (nautical). --- Hamilton's principle. --- Imagery. --- Increment and decrement operators. --- Inference. --- Initial condition. --- Inspection. --- Laminar flow. --- Limit load (physics). --- Limit set. --- Linearization. --- Longitudinal mode. --- Loop around. --- Mach number. --- Main effect. --- Motion control. --- Motion planning. --- Newton's laws of motion. --- Open loop. --- Order of magnitude. --- Partial differential equation. --- Pitch angle (particle motion). --- Powered lift. --- Pressure. --- Propulsion. --- Publishing. --- Requirement. --- Rotation around a fixed axis. --- Shackle. --- Shear flow. --- Simultaneity. --- Skin friction drag. --- Solver. --- Specific impulse. --- Spiral model. --- Spline interpolation. --- State-space representation. --- Subroutine. --- Thrust vectoring. --- Torsion (mechanics). --- Torsional vibration. --- Trajectory. --- Transfer function. --- Transformation matrix. --- Transonic. --- Unit vector. --- Upper and lower bounds. --- Vector field. --- Vector projection. --- Vertical stabilizer. --- Vestibular system. --- Vibration control. --- Wind tunnel. --- Wire rope. --- SCIENCE / Mechanics / Dynamics --- MATHEMATICS / Applied