Approximating the Sachdev-Ye-Kitaev model with Majorana wires

Abstract

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled to an array of topological superconducting wires hosting Majorana zero modes. Interactions and disorder intrinsic to the dot mediate the desired random Majorana couplings, while an approximate symmetry suppresses additional unwanted terms. We use random matrix theory and numerics to show that our setup emulates the SYK model (up to corrections that we quantify) and discuss experimental signatures.

7 pages, 2 figures

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Cited by in corpus (70)

• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• An introduction to the SYK model
• Many-Body Chaos in the Sachdev-Ye-Kitaev Model
• Ultra-stable charging of fast-scrambling SYK quantum batteries
• Quantum holography in a graphene flake with an irregular boundary
• Majorana nanowires for topological quantum computation
• Odd-frequency superconducting pairing in one-dimensional systems
• Treelike interactions and fast scrambling with cold atoms
• Space-Time in the SYK Model
• Lindbladian dissipation of strongly-correlated quantum matter
• Three Dimensional View of Arbitrary $q$ SYK models
• Revival dynamics in a traversable wormhole
• Optical lattice platform for the SYK model
• Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
• Majorana bound states in semiconducting nanostructures
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Thermoelectric power of Sachdev-Ye-Kitaev islands: Probing Bekenstein-Hawking entropy in quantum matter experiments
• Interacting Majorana Fermions
• Diagnosing quantum chaos in many-body systems using entanglement as a resource
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Quantum operator growth bounds for kicked tops and semiclassical spin chains
• Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
• Low-high voltage duality in tunneling spectroscopy of the Sachdev-Ye-Kitaev model
• SYK model with quadratic perturbations: the route to a non-Fermi-liquid
• Family of Sachdev-Ye-Kitaev models motivated by experimental considerations
• Thickening and sickening the SYK model
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Robust Majorana magic gates via measurements
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• Optimal Frobenius light cone in spin chains with power-law interactions
• Tunneling through an Eternal Traversable Wormhole
• Conformality of $1/N$ corrections in SYK-like models
• Traversable wormhole in coupled SYK models with imbalanced interactions
• Deterministic Fast Scrambling with Neutral Atom Arrays
• $\text{Draiding}$ majoranas to dynamically engineer Hamiltonians
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
• Phase diagram of a two-site coupled complex Sachdev-Ye-Kitaev model
• Unveiling operator growth in SYK quench dynamics
• Probing quantum chaos in multipartite systems
• Superconducting critical temperature in the extended diffusive SYK model
• Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
• Scrambling dynamics and many-body chaos in a random dipolar spin model
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
• Operator growth bounds in a cartoon matrix model
• Classification of the quantum chaos in colored Sachdev-Ye-Kitaev models
• Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade
• One SYK SET
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Isolated zeros in the spectral function as signature of a quantum continuum
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Revisiting 2-pi phase slip suppression in topological Josephson junctions
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
• Towards quantum simulation of Sachdev-Ye-Kitaev model
• Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
• Mimicking black hole event horizons in atomic and solid-state systems
• SYK does not Transit Gloria Mundi just yet
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• Super-maximal chaos and instability
• Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• Statistic behaviors of gauge-invariance-dominated 1D chiral current random model
• The extended diffusive Sachdev-Ye-Kitaev model as a sort of "strange metal"
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Phase Thermalization: from Fermi Liquid to Incoherent Metal
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires