Analogue space-times are powerful models for probing the fundamental physical aspects of geometry - while one is most typically interested in ultimately reproducing the pseudo-Riemannian geometries of interest in general relativity and cosmology, analogue models can also provide useful physical probes of more general geometries such as pseudo-Finsler space-times. In this chapter we shall see how a 2-component Bose-Einstein condensate can be used to model a specific class of pseudo-Finsler geometries, and after suitable tuning of parameters, both bi-metric pseudo-Riemannian geometries and standard single metric pseudo-Riemannian geometries, while independently allowing the quasi-particle excitations to exhibit a "mass". Furthermore, when extrapolated to extremely high energy the quasi-particles eventually leave the phononic regime and begin to act like free bosons. Thus this analogue space-time exhibits an analogue of the "Lorentz violation" that is now commonly believed to occur at or near the Planck scale defined by the interplay between quantum physics and gravitational physics. In the 2-component Bose-Einstein analogue space-time we will show that the mass generating mechanism for the quasi-particles is related to the so-called "naturalness problem". In short the analogue space-time based on 2-component Bose-Einstein condensates exhibits a very rich mathematical and physical structure that can be used to investigate many issues of interest to the high-energy physics, cosmology, and general relativity communities

Analogue space-time based on 2-component bose - Einstein condensates / Weinfurtner, S; Liberati, Stefano; Visser, M.. - 718:(2007), pp. 115-163. (Intervento presentato al convegno International Workshop on Quantum Simulations Via Analogues tenutosi a Max Planck Inst Phys Complex Syst, Dresden, GERMANY nel JUL 25-28, 2005) [10.1007/3-540-70859-6_6].

Analogue space-time based on 2-component bose - Einstein condensates

Liberati, Stefano;
2007-01-01

Abstract

Analogue space-times are powerful models for probing the fundamental physical aspects of geometry - while one is most typically interested in ultimately reproducing the pseudo-Riemannian geometries of interest in general relativity and cosmology, analogue models can also provide useful physical probes of more general geometries such as pseudo-Finsler space-times. In this chapter we shall see how a 2-component Bose-Einstein condensate can be used to model a specific class of pseudo-Finsler geometries, and after suitable tuning of parameters, both bi-metric pseudo-Riemannian geometries and standard single metric pseudo-Riemannian geometries, while independently allowing the quasi-particle excitations to exhibit a "mass". Furthermore, when extrapolated to extremely high energy the quasi-particles eventually leave the phononic regime and begin to act like free bosons. Thus this analogue space-time exhibits an analogue of the "Lorentz violation" that is now commonly believed to occur at or near the Planck scale defined by the interplay between quantum physics and gravitational physics. In the 2-component Bose-Einstein analogue space-time we will show that the mass generating mechanism for the quasi-particles is related to the so-called "naturalness problem". In short the analogue space-time based on 2-component Bose-Einstein condensates exhibits a very rich mathematical and physical structure that can be used to investigate many issues of interest to the high-energy physics, cosmology, and general relativity communities
2007
Quantum Analogues: From Phase Transitions to Black Holes and Cosmology
718
115
163
3540708588
978-354070858-2
Springer
Weinfurtner, S; Liberati, Stefano; Visser, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15276
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