Bogoliubov dispersion relation for a "photon fluid": Is this a superfluid?

Bogoliubov dispersion relation and the possibility of superfluidity for weakly-interacting photons in a 2D photon fluid

The Bogoliubov dispersion relation for the elementary excitations of the weakly-interacting Bose gas is shown to hold for the case of the weakly-interacting photon gas (the ``photon fluid'') in a nonlinear Fabry-Perot cavity. This relation, which is also derived by means of a linearized fluctuation analysis in classical nonlinear optics, implies the possibility of a new superfluid state of light. The theory underlying an experiment in progress to measure this dispersion relation is described, and another experiment to test the prediction of the superfluidity of this state of light is proposed.

Interferences between Bogoliubov excitations and their impact on the evidence of superfluidity in a paraxial fluid of light

Paraxial fluids of light represent an alternative platform to atomic Bose-Einstein condensates and superfluid liquids for the study of the quantum behaviour of collective excitations. A key step in this direction is the precise characterization of the Bogoliubov dispersion relation, as recently shown in two experiments. However, the predicted interferences between the phonon excitations that would be a clear signature of the collective superfluid behaviour have not been observed to date. Here, by analytically, numerically, and experimentally exploring the phonon phase-velocity, we observe the …

相互作用费米子的加权Hartree-Fock-Bogoliubov方法：在超冷费米超流体中的应用

Weighted Hartree-Fock-Bogoliubov method for interacting fermions: An application to ultracold Fermi superfluids

针对幺正超流体中因粒子-空穴散射导致的基态能量和化学势发散问题，提出加权Hartree-Fock-Bogoliubov理论，解决相互作用分解通道难题，得到含多通道修正的相图并发现弱相互作用下新超流相。

Sound propagation in a two-dimensional Bose gas across the superfluid transition

Motivated by recent experiments in Phys. Rev. Lett. 121, 145301 (2018), we study sound propagation in a two-dimensional (2D) Bose gas across the superfluid-thermal transition using classical field dynamics. Below the transition temperature we find a Bogoliubov and a non-Bogoliubov mode, above it we find the normal sound mode and the diffusive mode, as we determine from the dynamical structure factor. Our simulations of the experimental procedure agree with the measured velocities, and show that below the transition temperature the measurements detect the Bogoliubov mode. Above the transition, …

Zitterbewegung in Bogoliubov's System

We show that Bogoliubov's quasiparticle in superfluid $^3He-B$ undergoes the Zitterbewegung, as a free relativistic Dirac's electron does. The expectation value of position, as well as spin, of the quasiparticle is obtained and compared with that of the Dirac's electron. In particular, the Zitterbewegung of Bogoliubov's quasiparticle has a frequency approximately $10^5$ lower than that of an electron, rendering a more promising experimental observation.

Observation of the Bogoliubov dispersion relation in a fluid of light

Quantum fluids of light are photonic counterpart to atomic Bose gases and are attracting increasing interest for probing many-body physics quantum phenomena such as superfluidity. Two different configurations are commonly used: the confined geometry where a nonlinear material is fixed inside an optical cavity, and the propagating geometry where the propagation direction plays the role of an effective time for the system. The observation of the dispersion relation for elementary excitations in a photon fluid has proved to be a difficult task in both configurations with few experimental real iza…