Quasinormal Ringing for Acoustic Black Holes at Low Temperature
Hiroyuki Nakano, Yasunari Kurita, Kouji Ogawa, Chul-Moon Yoo
TL;DR
This paper explores how quasinormal ringing in low-temperature acoustic black holes, modeled via the Gross-Pitaevskii equation, can reveal detailed geometrical information about the analogue black hole.
Contribution
It introduces a method to analyze quasinormal modes in acoustic black holes within condensed matter systems using the GP equation.
Findings
Quasinormal modes can be observed in low-temperature condensed matter systems.
These modes encode detailed geometrical information about the acoustic black hole.
The approach provides a new way to study black hole analogues experimentally.
Abstract
We investigate a condensed matter ``black hole'' analogue, taking the Gross-Pitaevskii (GP) equation as a starting point. The linearized GP equation corresponds to a wave equation on a black hole background, giving quasinormal modes under some appropriate conditions. We suggest that we can know the detailed characters and corresponding geometrical information about the acoustic black hole by observing quasinormal ringdown waves in the low temperature condensed matters.
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