Abstract
The Sachdev-Ye-Kitaev (SYK) model incorporates rich physics, ranging from exotic non-Fermi liquid states without quasiparticle excitations, to holographic duality and quantum chaos. However, its experimental realization remains a daunting challenge due to various unnatural ingredients of the SYK Hamiltonian such as its strong randomness and fully nonlocal fermion interaction. At present, constructing such a nonlocal Hamiltonian and exploring its dynamics is best through digital quantum simulation, where state-of-the-art techniques can already handle a moderate number of qubits. Here, we demonstrate a first step towards simulation of the SYK model on a nuclear-spin-chain simulator. We observed the fermion paring instability of the non-Fermi liquid state and the chaotic-nonchaotic transition at simulated temperatures, as was predicted by previous theories. As the realization of the SYK model in practice, our experiment opens a new avenue towards investigating the key features of non-Fermi liquid states, as well as the quantum chaotic systems and the AdS/CFT duality.
Highlights
IntroductionThe Sachdev-Ye-Kitaev (SYK) model describes a strongly interacting quantum system with random all-to-all couplings among N Majorana fermions.[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26] At large N, this model is exactly solvable and exhibits an explicit non-Fermi liquid (NFL) behavior with nonzero entropy density at vanishing temperature
Very recently a number of works have constructed non-fermi liquid states based on SYK physics, with potential applications to condensed matter systems.[31,32,33,34]
We report the experimental realization of the SYK model and its generalization
Summary
The Sachdev-Ye-Kitaev (SYK) model describes a strongly interacting quantum system with random all-to-all couplings among N Majorana fermions.[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26] At large N, this model is exactly solvable and exhibits an explicit non-Fermi liquid (NFL) behavior with nonzero entropy density at vanishing temperature. Very recently a number of works have constructed non-fermi liquid states based on SYK physics, with potential applications to condensed matter systems.[31,32,33,34] The SYK model and its generalized SYKq models with a q-fermion interaction attract tremendous interests in the quantum information and string theory community. The maximal chaotic behavior for q > 2 grant the model a holographic dual to the (1 + 1)d Einstein gravity with a bulk black hole.[3,4,5,35,36,37,38,39,40]
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