Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics

The interface between different quantum phases of matter can give rise to novel physics, such as exotic topological phases or non-unitary conformal field theories. Here we investigate the interface between two spin chains in different chiral phases. Surprisingly, the mean-field theory description of...

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Bibliographic Details
Published in:arXiv.org 2023-01
Main Authors: Horner, Matthew D, Hallam, Andrew, Pachos, Jiannis K
Format: Article
Language:English
Subjects:
Black holes
Chains
Event horizon
Fermions
Initial conditions
Mean field theory
Phases
Online Access:Get full text
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Summary:The interface between different quantum phases of matter can give rise to novel physics, such as exotic topological phases or non-unitary conformal field theories. Here we investigate the interface between two spin chains in different chiral phases. Surprisingly, the mean-field theory description of this interacting composite system is given in terms of Dirac fermions in a curved space-time geometry. In particular, the boundary between the two phases represents a black hole horizon. We demonstrate that this representation is faithful both analytically, by employing bosonisation to obtain a Luttinger liquid model, and numerically, by employing Matrix Product State methods. A striking prediction from the black hole equivalence emerges when a quench, at one side of the interface between two opposite chiralities, causes the other side to thermalise with the Hawking temperature for a wide range of parameters and initial conditions.
ISSN:2331-8422
DOI:10.48550/arxiv.2207.08840