Quantum Criticality and Black Holes

In a previous series of papers it was proposed that black holes can be understood as Bose-Einstein condensates at the critical point of a quantum phase transition. Therefore other bosonic systems with quantum criticalities, such as the Lieb-Liniger model with attractive interactions, could possibly be used as toy models for black holes. Even such simple models are hard to analyse, as mean field theory usually breaks down at the critical point. Very few analytic results are known. In this paper we present a method of studying such systems at quantum critical points analytically. We will be able to find explicit expressions for the low energy spectrum of the Lieb-Liniger model and thereby to confirm the expected black hole like properties of such systems. This opens up an exciting possibility of constructing and studying black hole like systems in the laboratory.In a previous series of papers it was proposed that black holes can be understood as Bose-Einstein condensates at the critical point of a quantum phase transition. Therefore other bosonic systems with quantum criticalities, such as the Lieb-Liniger model with attractive interactions, could possibly be used as toy models for black holes. Even such simple models are hard to analyse, as mean field theory usually breaks down at the critical point. Very few analytic results are known. In this paper we present a method of studying such systems at quantum critical points analytically. We will be able to find explicit expressions for the low energy spectrum of the Lieb-Liniger model and thereby to confirm the expected black hole like properties of such systems. This opens up an exciting possibility of constructing and studying black hole like systems in the laboratory.

arXiv:1510.04535Oct 15, 20157 citations

Black holes and quantum coherence

Robert M. Wald

Foundations of PhysicsMay 1, 19862 citations

Quantum capacity of quantum black holes

Christoph Adami, Kamil Brádler

Bulletin of the American Physical SocietyMar 3, 20140 citations

Scrambling in the black hole portrait

Gia Dvali, Daniel Flassig, César Gómez +2 more

Recently a quantum portrait of black holes was suggested according to which a macroscopic black hole is a Bose--Einstein condensate of soft gravitons stuck at the critical point of a quantum phase transition. We explain why quantum criticality and instability are the key for an efficient generation of entanglement and consequently of the scrambling of information. By studying a simple Bose--Einstein prototype, we show that the scrambling time, which is set by the quantum break time of the system, goes as $\mathrm{log}\text{ }N$ for $N$ the number of quantum constituents or equivalently the black hole entropy.Recently a quantum portrait of black holes was suggested according to which a macroscopic black hole is a Bose--Einstein condensate of soft gravitons stuck at the critical point of a quantum phase transition. We explain why quantum criticality and instability are the key for an efficient generation of entanglement and consequently of the scrambling of information. By studying a simple Bose--Einstein prototype, we show that the scrambling time, which is set by the quantum break time of the system, goes as $\mathrm{log}\text{ }N$ for $N$ the number of quantum constituents or equivalently the black hole entropy.

arXiv:1307.3458Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsDec 26, 201398 citations

Three studies in quantum criticality

R. R. Ramazashvili

Jan 1, 19980 citations

\mathrm{log}\text{ }N

for

N

the number of quantum constituents or equivalently the black hole entropy.