Simulating quantum field theory in curved spacetime with quantum many-body systems

This paper proposes a new general framework to build a one-to-one correspondence between quantum field theories in static (1+1)-dimensional curved spacetime and quantum many-body systems. We show that a massless scalar field in an arbitrary two-dimensional static spacetime is always equivalent to a...

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Bibliographic Details
Published in:Physical review research 2020-04, Vol.2 (2), p.023107, Article 023107
Main Authors: Yang, Run-Qiu, Liu, Hui, Zhu, Shining, Luo, Le, Cai, Rong-Gen
Format: Article
Language:English
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Summary:This paper proposes a new general framework to build a one-to-one correspondence between quantum field theories in static (1+1)-dimensional curved spacetime and quantum many-body systems. We show that a massless scalar field in an arbitrary two-dimensional static spacetime is always equivalent to a site-dependent bosonic hopping model, while a massless Dirac field is equivalent to a site-dependent free Hubbard model or a site-dependent isotropic XY model. A possible experimental realization for such a correspondence in trapped-ion systems is suggested. As applications of the analog gravity model, we show that they can be used to simulate Hawking radiation of a black hole and to study its entanglement. We also show in the analog model that black holes are the most chaotic systems and the fastest scramblers in nature. We also offer a concrete example about how to get some insights about quantum many-body systems from black-hole physics.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.2.023107