2003
DOI: 10.1016/s0003-4916(03)00011-3
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On the space-time curvature experienced by quasiparticle excitations in the Painlevé–Gullstrand effective geometry

Abstract: We consider quasiparticle propagation in constant-speed-of-sound (iso-tachic) and almost incompressible (iso-pycnal) hydrodynamic flows, using the technical machinery of general relativity to investigate the "effective space-time geometry" that is probed by the quasiparticles. This effective geometry, described for the quasiparticles of condensed matter systems by the Painlevé-Gullstrand metric, generally exhibits curvature (in the sense of Riemann), and many features of quasiparticle propagation can be re-phr… Show more

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Cited by 40 publications
(46 citation statements)
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“…Super-radiance was investigated in [57], while the propagation of phonons and quasiparticles was discussed in [209, 208]. More work on “slow light” appeared in [211, 509].…”
Section: Historymentioning
confidence: 99%
“…Super-radiance was investigated in [57], while the propagation of phonons and quasiparticles was discussed in [209, 208]. More work on “slow light” appeared in [211, 509].…”
Section: Historymentioning
confidence: 99%
“…Super-radiance was investigated in [27], while the propagation of phonons and quasiparticles was discussed in [122, 121]. More work on “slow light” appeared in [124, 311].…”
Section: History and Motivationmentioning
confidence: 99%
“…Directly observing pair creation in relativistic quantum field theory is notoriously difficult due to the challenging experimental requirements for achieving sizable pair production rates. To render pair creation, under rather general conditions, accessible to experiment, the idea of quantum simulation [7] was applied to relativistic quantum fields on effective curved spacetime [8,9]. This is frequently classified under the notion of "analogue gravity," see Ref.…”
Section: Introductionmentioning
confidence: 99%