We review what is known, unknown, and expected about the mathematical properties of
Coulomb and Riesz gases. Those describe infinite configurations of points in R d interacting …

While the emergent field of quantum thermodynamics has the potential to impact energy
science, the performance of thermal machines is often classical. We ask whether quantum …

The finite-time operation of a quantum heat engine that uses a single particle as a working
medium generally increases the output power at the expense of inducing friction that lowers …

Quantum speed limits set an upper bound to the rate at which a quantum system can evolve,
and as such can be used to analyze the scrambling of information. To this end, we consider …

Raman-assisted hop** may be used to realize the anyon Hubbard model in one-
dimensional optical lattices. We propose a feasible scenario that significantly improves the …

We propose a simple scheme for mimicking the physics of one-dimensional anyons in an
optical-lattice experiment. It relies on a bosonic representation of the anyonic Hubbard …

The low-energy properties of the one-dimensional anyon gas with a δ-function interaction
are discussed in the context of its Bethe ansatz solution. It is found that the anyonic statistical …

We introduce a generalized approach to one-dimensional (1D) conduction based on
Haldane's [Phys. Rev. Lett. 67, 937 (1991)] concept of fractional exclusion statistics (FES) …

Following our earlier work on the Ruppeiner geometry of an anyon gas [B. Mirza and H.
Mohammadzadeh, Phys. Rev. E 78, 021127 (2008)], we will derive nonperturbative …

A similarity transformation is constructed, through which a system of particles interacting with
inverse-square two-body and harmonic potentials in one dimension can be mapped …