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A cavity quantum electrodynamics implementation of the Sachdev--Ye--Kitaev model
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The search for a quantum theory of gravity has led to the discovery of quantum many-body systems that are dual to gravitational models with quantum properties. The perhaps most famous of these systems is the Sachdev-Ye-Kitaev (SYK) model. It features maximal scrambling of quantum information, and opens a potential inroad to experimentally investigating aspects of quantum gravity. A scalable laboratory realisation of this model, however, remains outstanding. Here, we propose a feasible implementation of the SYK model in cavity quantum electrodynamics platforms. Through detailed analytical and numerical demonstrations, we show how driving a cloud of fermionic atoms trapped in a multi-mode optical cavity, and subjecting it to a spatially disordered AC-Stark shift retrieves the physics of the SYK model, with random all-to-all interactions and fast scrambling. Our work provides a blueprint for realising the SYK model in a scalable system, with the prospect of studying holographic quantum matter in the laboratory.
Forward citations
Cited by 7 Pith papers
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Three Hamiltonians are Sufficient for Unitary $k$-Design in Temporal Ensemble
A three-step quench protocol with fixed Hamiltonians and random times forms unitary k-designs for arbitrary k; the two-step protocol cannot.
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Realizing Unitary $k$-designs with a Single Quench
A single quench between two independent random Hamiltonians at the Thouless time generates unitary k-designs.
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Size Operator and Spectral Clustering in the Two Coupled SYK Model
The finite-N spectrum of the two coupled SYK model organizes into operator-size clusters that underlie the conformal towers, revival dynamics, and wormhole-black hole transition.
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Controlling many-body quantum chaos in a dissipative optical cavity
Cavity dephasing preserves integrable-vs-chaotic fingerprints in linear observables; spontaneous emission at realistic Lamb-Dicke parameters erases them, and both spoil entanglement.
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Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
Kinetic driving eliminates nearest-neighbor hopping in a Bose-Hubbard lattice and produces an effective four-boson Hamiltonian whose spectral statistics and OTOC dynamics match the bosonic Sachdev-Ye-Kitaev model.
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Boosting quantum efficiency by reducing complexity
Sparsifying the SYK quantum battery Hamiltonian improves its charging efficiency (extractable work per stored energy) as long as chaos survives, by up to roughly 10% at N=10.
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Quantum simulations of complex systems
A review of quantum simulation, neuromorphic computation, the SYK model, and quantum batteries, with no new findings.
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