Quantum Brownian motion for a particle in analog expanding cosmologies in the presence of disclination
arXiv:2203.10590 · doi:10.1103/PhysRevD.105.125014
Abstract
In this paper we study the quantum brownian motion of a scalar point particle in the analog Friedman-Robertson-Walker spacetime in the presence of a disclination, in a condensed matter system. The analog spacetime is obtained as an effective description of a Bose-Einstein condensate in terms of quantum excitations of sound waves, named phonons. The dynamics of the phonons is described by a massless real scalar field whose modes are also subjected to a quasi-periodic condition. In this sense, we find exact solutions for the real scalar field in this scenario and calculate the two-point function which makes possible to analyze the mean squared velocity dispersion of the particle in all directions. We, thus, analyze some interesting particular cases and show some graphs where it is possible to see the consistency of our results.
arXiv comment14 pages, 3 figures. Revised version accepted to be published in Physical Review D
References in corpus (31)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Theory of Bose-Einstein condensation in trapped gases
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Analog gravity from Bose-Einstein condensates
- Numerical methods for computing Casimir interactions
- Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
- A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
- Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
- Signals of Inflationary Models with Cosmic Strings
- Seeking String Theory in the Cosmos
- Analogue models for FRW cosmologies
- Vacuum fluctuations and Brownian motion of a charged test particle near a reflecting boundary
- Vacuum currents induced by a magnetic flux around a cosmic string with finite core
- Brownian motion of a charged test particle in vacuum between two conducting plates
- A liquid crystal analogue of the cosmic string
- Brownian motion of a charged test particle near a reflecting boundary at finite temperature
- Big-Bang Nucleosynthesis and Gamma-Ray Constraints on Cosmic Strings with a large Higgs condensate
- Topological Casimir effect in compactified cosmic string spacetime
- Analog model for an expanding universe
- Brownian Motion in Robertson-Walker Space-Times from electromagnetic Vacuum Fluctuations
- Bose-Einstein Condensates as Gravitational Wave Detectors
- Quantum Brownian motion near a point-like reflecting boundary
- Smearing effect due to the spread of a probe-particle on the Brownian motion near a perfectly reflecting boundary
- Quantum Brownian motion in an analog Friedmann-Robertson-Walker geometry
- Scalar Casimir effect in a high-dimensional cosmic dispiration spacetime
- Remarks on the influence of quantum vacuum fluctuations over a charged test particle near a conducting wall
- Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle
- Vacuum induced dispersions on the motion of test particles in dimensions
- Probing thermal fluctuations through scalar test particles
- Stochastic motion in an expanding noncommutative fluid
- Boundary effects on classical liquid density fluctuations