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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. Barceló, S. Liberati and M. Visser, “Analogue gravity”, Living Rev. Rel. 8 12 (2005), [arXiv:gr-qc/0505065]
C. Barceló, S. Liberati and M. Visser, “Analog gravity from field theory normal modes?”, Class. Quant. Grav. 18, 3595 (2001), [arXiv:gr-qc/0104001]
C. Barceló, S. Liberati and M. Visser, “Refringence, field theory, and normal modes”, Class. Quant. Grav. 19, 2961 (2002), [arXiv:gr-qc/0111059]
M. Visser, C. Barceló and S. Liberati, “Bi-refringence versus bi-metricity”, [arXiv:gr-qc/0204017]
M. Visser and S.Weinfurtner, “Massive phonon modes from a BEC-based analog model”, (2004), [arXiv:cond-mat/0409639]
M. Visser and S. Weinfurtner, “Massive Klein-Gordon equation from a BEC-based analogue spacetime”, Phys. Rev. D 72 044020 (2005), [arXiv:grqc/0506029]
S. Liberati, M. Visser and S. Weinfurtner 2006, “Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate” Class. Quant. Grav. 23 3129 (2006), [arXiv:gr-qc/0510125]
S.Weinfurtner, S. Liberati and M. Visser, “Analogue model for quantum gravity phenomenology”, J. Phys. A 39 6807 (2006), [arXiv:gr-qc/0511105]
S. Weinfurtner, S. Liberati and M. Visser, “Modelling Planck-scale Lorentz violation via analogue models”, J. Phys. Conf. Ser. 33 373 (2006), [arXiv:grqc/0512127]
S. Liberati, M. Visser and S.Weinfurtner, “Naturalness in emergent spacetime”, Phys. Rev. Lett. 96 151301 (2006), [arXiv:gr-qc/0512139]
R. Schutzhold, “Dynamical zero-temperature phase transitions and cosmic inflation / deflation”, Phys. Rev. Lett. 95 135703 (2005), [arXiv:quant-ph/0505196]
U. R. Fischer and R. Schutzhold, “Quantum simulation of cosmic inflation in two-component Bose-Einstein” Phys. Rev. A 70 063615 (2004), [arXiv:condmat/0406470]
S. Weinfurtner, “Analogue model for an expanding universe”, General Relativity and Gravitation 37 9 1549–1554 (2005), [arXiv:gr-qc/0404063]
C. Barceló, S. Liberati and M. Visser, “Analogue models for FRW cosmologies”, Int. J. Mod. Phys. D 12 1641 (2003), [arXiv:gr-qc/0305061]
S. D. Jenkins and T. A. B. Kennedy, “Dynamic stability of dressed condensate mixtures”, Phys. Rev. A 68, 053607 (2003)
M. Trippenbach, K. Góral, K. Rzażewski, B. Malomed, and Y. B. Band, “Structure of binary Bose-Einstein condensates”, J. Phys. B 33 4017 (2000), [arXiv:cond-mat/0008255]
Bloch I 2000, “Atomlaser und Phasenkohärenz atomarer Bose-Einstein-Kondensate”, (in German), [http://edoc.ub.uni-muenchen.de/archive/00000208/]
Jenkins S D and Kennedy T A B “Spin squeezing in a driven Bose-Einstein condensate”, Phys. Rev. A 66 043621 (2002)
C. Barceló, S. Liberati and M. Visser, “Analogue gravity from Bose-Einstein condensates”, Class. Quant. Grav. 18 1137 (2001), [arXiv:gr-qc/0011026]
R. Courant and D. Hilbert, “Methods of Mathematical Physics”, Vol II, Wiley, John and Sons, (1990)
B. Riemann, “Ueber die Hypothesen, welche der Geometrie zu Grunde liegen”, 1854. “On the Hypotheses which lie at the Bases of Geometry”, translated by William Kingdon Clifford, Nature, 8, pp, 14–17, 36, 37
P. Finsler, “Uber Kurven und Flachen in allgemeinen Raumen”, [Curves and surfaces in general spaces], PhD thesis (1918)
U. R. Fischer and R. Schutzhold, “Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates”, Phys. Rev. A 70 (2004) 063615 [arXiv:cond-mat/0406470]
M. Visser, C. Barceló and S. Liberati, “Acoustics in Bose-Einstein condensates as an example of broken Lorentz symmetry”, [arXiv:hep-th/0109033]
D. Mattingly, “Modern tests of Lorentz invariance”, Living Rev. Rel. 8 5 (2005), [arXiv:gr-qc/0502097]
T. Jacobson, S. Liberati and D. Mattingly, “Lorentz violation at high energy: Concepts, phenomena and astrophysical constraints”, Annals Phys. 321 150 (2006), [arXiv:astro-ph/0505267]
R. C. Myers and M. Pospelov, “Experimental challenges for quantum gravity”, Phys. Rev. Lett. 90 211601 (2003), [arXiv:hep-ph/0301124]
T. Jacobson, S. Liberati and D. Mattingly, “Threshold effects and Planck scale Lorentz violation: Combined constraints from high energy astrophysics”, Phys. Rev. D 67 124011 (2003), [arXiv:hep-ph/0209264] T. Jacobson, S. Liberati and D. Mattingly, “TeV astrophysics constraints on Planck scale Lorentz violation”, Phys. Rev. D 66 (2002) 081302 [arXiv:hepph/0112207]
T. A. Jacobson, S. Liberati, D. Mattingly and F. W. Stecker, “New limits on Planck scale Lorentz violation in QED”, Phys. Rev. Lett. 93 (2004) 021101, [arXiv:astro-ph/0309681]
T. Jacobson, S. Liberati and D. Mattingly, “A strong astrophysical constraint on the violation of special relativity by quantum gravity”, Nature 424 1019 (2003), [arXiv:astro-ph/0212190]
J. Collins, A. Perez, D. Sudarsky, L. Urrutia and H. Vucetich, “Lorentz invariance: An additional fine-tuning problem”, Phys. Rev. Lett. 93 191301 (2004), [arXiv:gr-qc/0403053]
G. Amelino-Camelia and T. Piran, “Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-gamma paradoxes”, Phys. Rev. D 64 036005 (2001), [arXiv:astro-ph/0008107]
H. S. Goh, M. A. Luty and S. P. Ng, “Supersymmetry without supersymmetry”, JHEP 0501 040 (2005), [arXiv:hep-th/0309103]
E. Cartan, “Les Espaces de Finsler”, Actualites Scientifiques et Industrielles no. 79, Paris, Hermann (1934) H. Rund, “The Differential geometry of Finsler spaces”, Springer (1959). D. Bao, S. S. Chern and Z. Shen (eds.), “Finsler geometry”, A.M.S. Contemporary Mathematics 196 (1996) D. Bao, S. S. Chern and Z. Shen, “An Introduction to Riemann-Finsler Geometry”, Spring-Verlag (2000) Z. Shen, “Lectures on Finsler Geometry”, World Scientific Publishers (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Weinfurtner, S., Liberati, S., Visser, M. (2007). Analogue Space-time Based on 2-Component Bose-Einstein Condensates. In: Unruh, W.G., Schützhold, R. (eds) Quantum Analogues: From Phase Transitions to Black Holes and Cosmology. Lecture Notes in Physics, vol 718. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-70859-6_6
Download citation
DOI: https://doi.org/10.1007/3-540-70859-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70858-2
Online ISBN: 978-3-540-70859-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)