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These lecture notes are designed to provide a brief introduction into the phenomenology of active matter and to present some of the analytical tools used to rationalize the emergent behavior of active systems. Such systems are made of…

Soft Condensed Matter · Physics 2018-07-02 Étienne Fodor , M. Cristina Marchetti

Systems of identical particles possessing non-local interactions are capable of exhibiting extra-classical properties beyond the characteristic quantum length scales. This letter derives the dynamics of such systems in the non-relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-24 Erik W Lentz , Thomas R Quinn , Leslie J Rosenberg

The meaning of statistical experiments with single microsystems in quantum mechanics is discussed and a general model in the framework of non-relativistic quantum field theory is proposed, to describe both coherent and incoherent…

Quantum Physics · Physics 2009-10-30 L. Lanz , B. Vacchini

Low energy interactions between particles are often characterised by elastic scattering. Just as electrons undergo Thomson scattering with photons, dark matter particles may experience an analogous form of momentum exchange with dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Marco Baldi , Fergus Simpson

Non-covalent interactions are essential in the description of soft matter, including materials of technological importance and biological molecules. In density-functional theory, common approaches fail to describe dispersion forces, an…

Chemical Physics · Physics 2014-12-30 Gino A. DiLabio , Alberto Otero-de-la-Roza

Activity and autonomous motion are fundamental in living and engineering systems. This has stimulated the new field of active matter in recent years, which focuses on the physical aspects of propulsion mechanisms, and on motility-induced…

Interacting quantum systems are attracting increasing interest for developing precise metrology. In particular, the realisation that quantum-correlated states and the dynamics of interacting systems can lead to entirely new and unexpected…

Quantum Physics · Physics 2021-04-02 Min Jiang , Yunlan Ji , Qing Li , Ran Liu , Dieter Suter , Xinhua Peng

A remarkable feat of active matter physics is that systems as diverse as collections of self-propelled particles, nematics mixed with molecular motors, and interacting robots can all be described by symmetry-based continuum theories. These…

Soft Condensed Matter · Physics 2026-04-28 Jack Binysh , Guido Baardink , Jonas Veenstra , Corentin Coulais , Anton Souslov

Within a closed system, physical interactions are reciprocal. However, the effective interaction between two entities of an open system may not obey reciprocity. Here, we describe a non-reciprocal interaction between nanoparticles which is…

Optics · Physics 2024-02-02 Amir M. Jazayeri , Sohila Abdelhafiz , Aristide Dogariu

In the field of quantum metrology and sensing, a collection of quantum systems (e.g. spins) are used as a probe to estimate some physical parameter (e.g. magnetic field). It is usually assumed that there are no interactions between the…

Quantum Physics · Physics 2018-05-16 Shane Dooley , Michael Hanks , Shojun Nakayama , William J. Munro , Kae Nemoto

Cosmological models where dark matter interacts with dark energy via a pure momentum transfer and with no energy exchange (i.e. elastic) provide compelling scenarios for addressing the apparent lack of structures at low redshift. In…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Jose Beltrán Jiménez , David Figueruelo , David F. Mota , Hans A. Winther

Similarly to warm dark matter which features a cut-off in the matter power spectrum due to free-streaming, many interacting dark matter models predict a suppression of the matter power spectrum on small length scales through collisional…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-23 Markus R. Mosbech , Celine Boehm , Yvonne Y. Y. Wong

We consider the dynamics of a collisional model in which both the system and environment are embodied by spin-$1/2$ particles. In order to include non-Markovian features in our model we introduce interactions among the environmental qubits…

Quantum Physics · Physics 2017-08-15 B. Çakmak , M. Pezzutto , M. Paternostro , Ö. E. Müstecaplıoğlu

In the last 20 years, active matter has been a very successful research field, bridging the fundamental physics of nonequilibrium thermodynamics with applications in robotics, biology, and medicine. This field deals with active particles,…

Soft Condensed Matter · Physics 2022-09-12 Angelo Barona Balda , Aykut Argun , Agnese Callegari , Giovanni Volpe

Spatial scale separation often leads to sharp interfaces that can be fully localized pulses or transition layer fronts connecting different states. This paper concerns the asymptotic interaction laws of pulses and fronts in the so-called…

Pattern Formation and Solitons · Physics 2012-10-10 Jens D. M. Rademacher

Enhanced experimental capabilities to control nonlocal and power-law decaying interactions are currently fuelling intense research in the domain of quantum many-body physics. Compared to their counterparts with short-ranged interactions,…

Statistical Mechanics · Physics 2025-09-16 Robert Mattes , Igor Lesanovsky , Federico Carollo

Interactions between quantum particles, such as electrons, are the source of important effects, ranging from superconductivity, to the formation of molecular bonds, or the stability of elementary compounds at high-energies. In this article,…

Quantum Physics · Physics 2025-06-16 Javier Argüello-Luengo

Galactic-scale structure is of particular interest since it provides important clues to dark matter properties and its observation is improving. Weakly interacting massive particles (WIMPs) behave as cold dark matter on galactic scales,…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-01 Kyu Jung Bae , Ryusuke Jinno , Ayuki Kamada , Keisuke Yanagi

We offer our opinion on the benefits of integration of insights from active matter physics with principles of regulatory interactions and control to develop a field we term ``smart matter". This field can provide insight into important…

Soft Condensed Matter · Physics 2023-02-02 Herbert Levine , Daniel I. Goldman

Matter-wave optics is often viewed as a linear analogue of photonics, where noninteracting particles are coherently split, diffracted, and recombined, and interference arises from single-particle coherence. In ultracold quantum gases,…

Quantum Gases · Physics 2025-11-18 RuGway Wu , Maximilian Prüfer , Jörg Schmiedmayer