Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics
arXiv:2207.08840 · doi:10.1103/PhysRevLett.130.016701
Abstract
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.
16 pages, 10 figures
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- Optimally scrambling chiral spin-chain with effective black hole geometry
- Smart Holes: Analogue black holes with the right temperature and entropy
- Quantum geometric tensors from sub-bundle geometry
- Gauge fields induced by curved spacetime
- Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
- Emergent Hawking Radiation and Quantum Sensing in a Quenched Chiral Spin Chain
- Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems