Correlations between a Hawking particle and its partner in a 1+1D Bose-Einstein condensate analog black hole
| Autor: | Richard A. Dudley, Paul R. Anderson, Roberto Balbinot, Alessandro Fabbri |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
010308 nuclear & particles physics Significant difference Creation and annihilation operators Correlation function (quantum field theory) 01 natural sciences law.invention Black hole General Relativity and Quantum Cosmology symbols.namesake Fourier transform law 0103 physical sciences symbols Particle Production (computer science) 010306 general physics Bose–Einstein condensate Mathematical physics |
| Zdroj: | Physical Review D. 102 |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.102.105005 |
| Popis: | The Fourier transform of the density-density correlation function in a Bose-Einstein condensate (BEC) analog black hole is a useful tool to investigate correlations between the Hawking particles and their partners. It can be expressed in terms of $⟨{^{\mathrm{out}}\stackrel{^}{a}}_{\mathrm{up}}^{\mathrm{ext}}\text{ }\text{ }{^{\mathrm{out}}\stackrel{^}{a}}_{\mathrm{up}}^{\mathrm{int}}⟩$, where ${^{\mathrm{out}}\stackrel{^}{a}}_{\mathrm{up}}^{\mathrm{ext}}$ is the annihilation operator for the Hawking particle and ${^{\mathrm{out}}\stackrel{^}{a}}_{\mathrm{up}}^{\mathrm{int}}$ is the corresponding one for the partner. This basic quantity is calculated for three different models for the BEC flow. It is shown that in each model the inclusion of the effective potential in the mode equations makes a significant difference. Furthermore, particle production induced by this effective potential in the interior of the black hole is studied for each model and shown to be nonthermal. An interesting peak that is related to the particle production and is present in some models is discussed. |
| Databáze: | OpenAIRE |
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