Massive phonons and gravitational dynamics in a photon-fluid model
arXiv:1908.00875 · doi:10.1103/PhysRevA.100.063825
Abstract
We theoretically investigate the excitation dynamics in a photon-fluid with both local and nonlocal interactions. We show that the interplay between locality and an infinite-range nonlocality gives rise to a gapped Bogoliubov spectrum of elementary excitations which, at lower momenta, correspond to massive particles (phonons) with a relativistic energy-momentum relation. In this regime and in the presence of an inhomogeneous flow the density fluctuations are governed by the massive Klein-Gordon equation on the acoustic metric and thus propagate as massive scalar fields on a curved spacetime. We finally demonstrate that in the non-relativistic limit the phonon modes behave as self-gravitating quantum particles with an effective Schrödinger-Newton dynamics, although with a finite-range gravitational interaction and a non-zero cosmological constant. Our photon-fluid represents a viable alternative to BEC models for "emergent-gravity" scenarios and offers a promising setting for analogue simulations of quantum gravity phenomenology and semiclassical gravity.
Revised version: a few typos in formulas corrected
References in corpus (17)
- Quantum fluids of light
- Fiber-optical analogue of the event horizon
- Bose-Einstein condensation of photons in an optical microcavity
- Measurement of stimulated Hawking emission in an analogue system
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Hawking radiation from ultrashort laser pulse filaments
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Observation of Stimulated Hawking Radiation in Optics
- Shocks in nonlocal media
- Comparing contact and dipolar interaction in a Bose-Einstein condensate
- Observation of the Bogoliubov dispersion relation in a fluid of light
- Vortex solitons in dipolar Bose-Einstein Condensates
- Acoustic black holes in a two-dimensional "photon-fluid"
- Gravitational dynamics in Bose Einstein condensates
- Superradiant scattering in fluids of light
- Self-consistent derivation of the modified Gross-Pitaevskii equation with Lee-Huang-Yang correction
- Beyond Analog Gravity: The Case of Exceptional Dynamics
Cited by in corpus (12)
- Analogue simulations of quantum gravity with fluids
- Acoustic black-hole bombs and scalar clouds in a photon-fluid model
- Coherent soliton states hidden in phase-space and stabilized by gravitational incoherent structures
- Incoherent localized structures and hidden coherent solitons from the gravitational instability of the Schrödinger-Poisson equation
- No-short scalar hair theorem for spinning acoustic black holes in a photon-fluid model
- Stationary scalar clouds supported by rapidly-rotating acoustic black holes in a photon-fluid model
- Effective information bounds in modified quantum mechanics
- Listening to Quantum Gravity?
- Bound Bogoliubov quasiparticles in photon superfluids
- Phonons mimicking doubly special relativity kinematics
- Spatio-temporal equilibrium thermodynamics of guided optical waves at positive and negative temperatures
- Quantum field theory at finite temperature for 3D periodic backgrounds