Hidden Frustrated Interactions and Quantum Annealing in Trapped Ion Spin-Phonon Chains

Abstract

We show that a trapped ion chain interacting with an optical spin-dependent force shows strong frustration effects due to the interplay between long-range interactions and the dressing by optical phases. We consider a strong spin-phonon coupling regime and predict a quantum phase diagram with different competing magnetic and structural orders. In a highly frustrated region, the system shows enhanced quantum fluctuations and entanglement characteristic of spin-liquid phases. We propose and describe within a mean-field approach a quantum annealing process to induce a quasi-adiabatic evolution towards the ground state.

References in corpus (6)

• The density-matrix renormalization group in the age of matrix product states
• Structural phase transitions in low-dimensional ion crystals
• On the phase transition of light in cavity QED lattices
• Quantum phases of interacting phonons in ion traps
• Trapped Ion Chain as a Neural Network: Error Resistant Quantum Computation
• Ab-initio characterization of the quantum linear-zigzag transition using DMRG

Cited by in corpus (26)

• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Perspectives of quantum annealing: Methods and implementations
• Observing emergent hydrodynamics in a long-range quantum magnet
• Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions
• Quantum annealing for the number partitioning problem using a tunable spin glass of ions
• Implementation of Chiral Quantum Optics with Rydberg and Trapped-ion Setups
• Spin many-body phases in standard and topological waveguide QED simulators
• Trapped-ion quantum simulation of excitation transport: disordered, noisy, and long-range connected quantum networks
• Probing Entanglement in Adiabatic Quantum Optimization with Trapped Ions
• Topological edge states in periodically-driven trapped-ion chains
• Simulation of 1D topological phases in driven quantum dot arrays
• Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
• Variational waveguide QED simulators
• On the limits of photon-mediated interactions in one-dimensional photonic baths
• Exploring Quantum Annealing Architectures: A Spin Glass Perspective
• Semiclassical approach to finite temperature quantum annealing with trapped ions
• Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Floquet control of interactions and edge states in a programmable quantum simulator
• String-Breaking Dynamics in Quantum Adiabatic and Diabatic Processes
• Non-invasive measurement of currents in analog quantum simulators
• The role of higher-order terms in trapped-ion quantum computing with magnetic gradient induced coupling
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• Universal quantum computation and quantum error correction with ultracold atomic mixtures
• Relativistic meson spectra on ion-trap quantum simulators