Optical lattice platform for the SYK model
arXiv:2005.07640 · doi:10.1103/PhysRevA.103.013323
Abstract
The tractability of the Sachdev-Ye-Kitaev (SYK) model at large limit makes it ideal to theoretically study its chaotic non-Fermi liquid behavior and holographic duality properties. We show that the complex SYK Hamiltonian emerges from a system of spinless itinerant fermions in an optical Kagome lattice with a strong disorder. We discuss the regimes supporting flat band spectra in a Kagome lattice, where the system can be non-dispersive. Random interaction between non-dispersive fermions is induced due to randomly distributed immobile impurities in the optical lattice, that exclude the presence of itinerant fermions at their locations. We show that the proposed setup is a reliable experimental platform to realize the SYK model and study its exotic behavior. We show that the velocity distribution of the released fermions is a sensitive probe of the many-body Wigner-Dyson spectral density of states while the averaged many-body Loschmidt echo scheme can measure two-point out-of-time-ordered correlation functions of the SYK system.
9 pages, 6 figures
References in corpus (46)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Synthetic magnetic fields for ultracold neutral atoms
- Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Black Holes and Random Matrices
- Artificial flat band systems: from lattice models to experiments
- Bekenstein-Hawking Entropy and Strange Metals
- Measuring the scrambling of quantum information
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- Band touching from real space topology in frustrated hopping models
- Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
- Uncolored Random Tensors, Melon Diagrams, and the SYK Models
- Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
- Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
- Chaos, Complexity, and Random Matrices
- AdS holography and the SYK model
- A semiclassical ramp in SYK and in gravity
- Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
- Numerical study of fermion and boson models with infinite-range random interactions
- Power-law out of time order correlation functions in the SYK model
- Cooling in strongly correlated optical lattices: prospects and challenges
- Digital Quantum Simulation of Minimal AdS/CFT
- Cooling and entangling ultracold atoms in optical lattices
- Local Operators in the Eternal Black Hole
- Quantum Chaos and Holographic Tensor Models
- Spin gradient thermometry for ultracold atoms in optical lattices
- Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Approximating the Sachdev-Ye-Kitaev model with Majorana wires
- Quantum holography in a graphene flake with an irregular boundary
- Broad Feshbach resonance in the 6Li-40K mixture
- Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system
- Pseudopotential method for higher partial wave scattering
- SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport
- Adiabatic loading of bosons into optical lattices
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- Interaction-Enhanced Group Velocity of Bosons in the Flat Band of an Optical Kagome Lattice
- Adiabatic cooling of Fermions in an optical lattice
- A Three-Dimensional Optical Lattice of Ytterbium and Lithium Atomic Mixture
- Fermionization of Bosons in a Flat Band
- Supersymmetry method for interacting chaotic and disordered systems: the SYK model
- fractionalized phases of a solvable, disordered, - model
Cited by in corpus (38)
- 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
- Hamiltonian-Driven Shadow Tomography of Quantum States
- Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model
- 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
- Traversable wormhole in coupled SYK models with imbalanced interactions
- Refined quantum Lyapunov exponents from replica out-of-time-order correlators
- A fast time domain solver for the equilibrium Dyson equation
- Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
- Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
- Probing quantum chaos in multipartite systems
- Isolated flat bands in 2D lattices based on a novel path-exchange symmetry
- Anti- flatbands
- Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
- Conductance and thermopower fluctuations in interacting quantum dots
- Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
- Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
- Thermodynamic and Real-time Dynamic Properties of Complex Sachdev-Ye-Kitaev Model
- Trapping Hard-Core Bosons in Flatband Lattices
- Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
- Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
- Statistic behaviors of gauge-invariance-dominated 1D chiral current random model
- Two-local modifications of SYK model with quantum chaos
- Quantum simulations of complex systems
- Statistic physics in bound state in 3D fermi gas system
- Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
- Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice
- Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
- Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices
- Many-body spectral transitions through the lens of the variable-range SYK2 model
- Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport
- From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
- Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
- A proposal to extract and enhance four-Majorana interactions in hybrid nanowires
- Josephson current through the SYK model
- Lattice Holography on a Quantum Computer