Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
arXiv:1712.06458 · doi:10.1038/s41534-019-0166-7
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.
36 pages, 11 figures. Comments are welcome
References in corpus (13)
- Probing many-body dynamics on a 51-atom quantum simulator
- An Investigation of AdS Backreaction and Holography
- Uncolored Random Tensors, Melon Diagrams, and the SYK Models
- A Generalization of Sachdev-Ye-Kitaev
- More on Supersymmetric and 2d Analogs of the SYK Model
- Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
- Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
- Dispersive SYK model: band structure and quantum chaos
- Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
- SYK Models and SYK-like Tensor Models with Global Symmetry
- Correlators in the Supersymmetric SYK Model
- Supersymmetric SYK Model with Global Symmetry
- A candidate Theory for the "Strange Metal" phase at Finite Energy Window
Cited by in corpus (46)
- Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
- Thermofield dynamics: Quantum Chaos versus Decoherence
- Lindbladian dissipation of strongly-correlated quantum matter
- Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
- Optical lattice platform for the SYK model
- Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
- Experimental observation of information flow in the anti--symmetric system
- Hamiltonian-Driven Shadow Tomography of Quantum States
- Traversable wormhole and Hawking-Page transition in coupled complex SYK models
- Intrinsic superconducting instabilities of a solvable model for an incoherent metal
- Binary-coupling sparse SYK: an improved model of quantum chaos and holography
- Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
- Sachdev-Ye-Kitaev model on a noisy quantum computer
- Traversable wormhole in coupled SYK models with imbalanced interactions
- Refined quantum Lyapunov exponents from replica out-of-time-order correlators
- Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
- Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
- Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
- A model of randomly-coupled Pauli spins
- Probing quantum chaos in multipartite systems
- Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
- Controlling NMR spin systems for quantum computation
- Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- Lattice models for Non-Fermi Liquids with Tunable Transport Scalings
- Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
- Conductance and thermopower fluctuations in interacting quantum dots
- D-commuting SYK model: building quantum chaos from integrable blocks
- Time-Optimal Quantum Driving by Variational Circuit Learning
- Towards quantum simulation of Sachdev-Ye-Kitaev model
- Superconducting gap ratio from strange metal phase in the absence of quasiparticles
- Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
- Probing Entanglement Dynamics in the SYK Model using Quantum Computers
- Experimental error mitigation using linear rescaling for variational quantum eigensolving with up to 20 qubits
- Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
- Quantum simulations of complex systems
- Two-local modifications of SYK model with quantum chaos
- Quantum Speed Limits from Symmetries in Quantum Control
- Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing
- Complexity of Quadratic Quantum Chaos
- Approximate Quadratization of High-Order Hamiltonians for Combinatorial Quantum Optimization
- Many-body spectral transitions through the lens of the variable-range SYK2 model
- Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
- Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
- A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
- From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal