Quantum annealing simulation of out-of-equilibrium magnetization in a spin-chain compound

Abstract

Geometrically frustrated spin-chain compounds such as Ca3Co2O6 exhibit extremely slow relaxation under a changing magnetic field. Consequently, both low-temperature laboratory experiments and Monte Carlo simulations have shown peculiar out-of-equilibrium magnetization curves, which arise from trapping in metastable configurations. In this work we simulate this phenomenon in a superconducting quantum annealing processor, allowing us to probe the impact of quantum fluctuations on both equilibrium and dynamics of the system. Increasing the quantum fluctuations with a transverse field reduces the impact of metastable traps in out-of-equilibrium samples, and aids the development of three-sublattice ferrimagnetic (up-up-down) long-range order. At equilibrium we identify a finite-temperature shoulder in the 1/3-to-saturated phase transition, promoted by quantum fluctuations but with entropic origin. This work demonstrates the viability of dynamical as well as equilibrium studies of frustrated magnetism using large-scale programmable quantum systems, and is therefore an important step toward programmable simulation of dynamics in materials using quantum hardware.

References in corpus (24)

• Ising models of quantum frustration
• Observation of topological phenomena in a programmable lattice of 1,800 qubits
• Experimental signature of programmable quantum annealing
• Scaling advantage in quantum simulation of geometrically frustrated magnets
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• The nature of the magnetic order in Ca3Co2O6
• Step-like magnetization in a spin-chain system: Ca3Co2O6
• Understanding Quantum Tunneling through Quantum Monte Carlo Simulations
• Kosterlitz-Thouless Melting of Magnetic Order in the Triangular Quantum Ising Material TmMgGaO${}_4$
• Scaling and diabatic effects in quantum annealing with a D-Wave device
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Formation of Magnetic Microphases in Ca${}_3$Co${}_2$O${}_6$
• Demonstration of nonstoquastic Hamiltonian in coupled superconducting flux qubits
• Metastable states influence on the magnetic behavior of the triangular lattice: Application to the spin-chain compound Ca3Co2O6
• Dynamics of magnetization in frustrated spin-chain systems: Ca${}_3$Co${}_2$O${}_6$
• Simulating the Shastry-Sutherland Ising Model using Quantum Annealing
• Partial up-up-down order with the continuously distributed order parameter in the triangular antiferromagnet TmMgGaO4
• Absence of zero-point entropy in a triangular Ising antiferromagnet
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Field-driven magnetisation steps in Ca3Co2O6: A single-crystal neutron-diffraction study
• Phase Diagram of Triangular Lattice Quantum Ising Model under External Field
• Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on the quantum hardware
• Fluctuation guided search in quantum annealing
• Can quantum Monte Carlo simulate quantum annealing?

Cited by in corpus (20)

• Quantum Annealing: An Overview
• Kagome qubit ice
• Comparing Three Generations of D-Wave Quantum Annealers for Minor Embedded Combinatorial Optimization Problems
• Reaching the equilibrium state of frustrated triangular Ising magnet Ca3Co2O6
• Simulating the Transverse Field Ising Model on the Kagome Lattice using a Programmable Quantum Annealer
• Initial State Encoding via Reverse Quantum Annealing and h-gain Features
• Cyclic Quantum Annealing: Searching for Deep Low-Energy States in 5000-Qubit Spin Glass
• Tutorial: Calibration refinement in quantum annealing
• Quantum optimization within lattice gauge theory model on a quantum simulator
• Quantum annealing of a frustrated magnet
• Digital simulation of zero-temperature spontaneous symmetry breaking in a superconducting lattice processor
• Computational complexity of three-dimensional Ising spin glass: Lessons from D-Wave annealer
• Mapping State Transition Susceptibility in Quantum Annealing
• Classical Criticality via Quantum Annealing
• Comparing Quantum Annealing and Spiking Neuromorphic Computing for Sampling Binary Sparse Coding QUBO Problems
• Increasing the Hardness of Posiform Planting Using Random QUBOs for Programmable Quantum Annealer Benchmarking
• Quantum annealing and condensed matter physics
• Magnetic Hysteresis Experiments Performed on Quantum Annealers
• Observation of Magnetic Devil's Staircase-Like Behavior in Quasiperiodic Qubit Lattices
• Boltzmann Sampling of Frustrated J1 - J2 Ising Models with Programmable Quantum Annealers