For a system to qualify as quantum fluid, quantum-statistical effects should operate in addition quantum-mechanical ones. Here, we address the hitherto unexplored dynamical condition for be manifested, and consider particle exchange events gaslike regime of fluid dynamics process with an intrinsic time scale. We subsequently propose quantitative criterion indistinguishability associated statist...

A perfect fluid is quantized by the canonical method. The constraints are found and this allows the Dirac brackets to be calculated. Replacing the Dirac brackets with quantum commutators formally quantizes the system. There is a momentum operator in the denominator of some coordinate quantum commutators. It is shown that it is possible to multiply throughout by this momentum operator. Factor or...

One of the key discoveries at the close of the last century was that of the electron (Nobel Prize 1906). As well as heralding the dawn of particle physics, it also gave a fundamental basis for understanding electrical conduction in solids. As this century closes, we are discovering new materials where the interactions between electrons can lead to a quantum fluid where the electron no longer ap...

Their citation reads “ for their discovery of a new form of quantum fluid with fractionally charged excitations”. In this talk, I will try to describe this new form of quantum fluid and its fractionally charged excitations. However, since I am speaking to a general audience and the phenomenon of the fractional quantum Hall effect may not be familiar to all, I will start my talk with a brief int...

Using the Madelung fluid picture of Schrödinger equation for a single free particle moving in one spatial dimension, we shall specify a class of wave functions whose quantum probability density is being trapped by the quantum potential it itself generates. The global convexity of the quantum potential generated by the initial self-trapped wave function will then be shown to further localize the...

There is a growing experimental interest in coupling cavity photons to the cyclotron resonance excitations of electron liquids in high-mobility semiconductor quantum wells or graphene sheets. These media offer unique platforms to carry out fundamental studies of exciton-polariton condensation and cavity quantum electrodynamics in a regime, in which electron-electron interactions are expected to...

Transport phenomena still stand as one of the most challenging problems in computational physics. By exploiting the analogies between Dirac and lattice Boltzmann equations, we develop a quantum simulator based on pseudospin-boson quantum systems, which is suitable for encoding fluid dynamics transport phenomena within a lattice kinetic formalism. It is shown that both the streaming and collisio...