Quantum simulation of long range quantum spin glass with strong area-law violation using trapped ions
arXiv:1812.08938 · doi:10.1103/PhysRevA.100.059902
Abstract
Ground states of local Hamiltonians are known to obey the entanglement entropy area law. While area law violation of a mild kind (logarithmic) is commonly encountered, strong area-law violation (more than logarithmic) is rare. In this paper, we study the long range quantum spin glass in one dimension whose couplings are disordered and fall off with distance as a power-law. We show that this system exhibits more than logarithmic area law violation in its ground state. Strikingly this feature is found to be true even in the short range regime in sharp contrast to the spinless long range disordered fermionic model. This necessitates the study of large systems for the quantum spin glass model which is challenging since these numerical methods depend on the validity of the area law. This situation lends itself naturally for the exploration of a quantum simulation approach. We present a proof-of-principle implementation of this non-trivially interacting spin model using trapped ions and provide a detailed study of experimentally realistic parameters.
arXiv comment9 pages, 6 figures
References in corpus (44)
- Quantum entanglement
- The density-matrix renormalization group
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Entropy and Area
- Efficient simulation of one-dimensional quantum many-body systems
- Quantum computation with ions in thermal motion
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Many-body localization in a quantum simulator with programmable random disorder
- Realizing a lattice spin model with polar molecules
- Observation of entanglement propagation in a quantum many-body system
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Quantum dynamics of cold trapped ions, with application to quantum computation
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
- Violation of the entropic area law for Fermions
- Universality of Entropy Scaling in 1D Gap-less Models
- Single-atom trapping in holographic 2D arrays of microtraps with arbitrary geometries
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Entanglement entropy for the long range Ising chain
- General entanglement scaling laws from time evolution
- Quantum critical behavior in strongly interacting Rydberg gases
- Entanglement Entropy and the Fermi Surface
- Quantum Magnetism with Polar Alkali Dimers
- Effective Spin Quantum Phases in Systems of Trapped Ions
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
- Spin squeezing in a Rydberg lattice clock
- Topological phases in ultracold polar-molecule quantum magnets
- Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model
- Universal scaling in a strongly interacting Rydberg gas
- Entanglement area laws for long-range interacting systems
- Entanglement and fluctuations in the XXZ model with power-law interactions
- Quantum dynamics of disordered spin chains with power-law interactions
- Three-Dimensional Anderson Localization in Variable Scale Disorder
- Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
- Trapped-ion quantum simulation of excitation transport: disordered, noisy, and long-range connected quantum networks
- Violation of Entanglement-Area Law in Bosonic Systems with Bose Surfaces: Possible Application to Bose Metals
- Maximally Entangled Mode, Metal-Insulator Transition and Violation of Entanglement Area Law in Non-interacting Fermion Ground States
- Entanglement contour perspective for strong area law violation in a disordered long-range hopping model
- Landauer Current and Mutual Information
- Accessing Rydberg-dressed interactions using many-body Ramsey dynamics
- Entanglement Entropy and Mutual Information in Bose-Einstein Condensates
- Block Entanglement Entropy of Ground States with Long-Range Magnetic Order