Qubit spin ice

A reconfigurable spin ice Spin ices, magnetic systems in which local spins respect the so-called ice rules, can occur in natural materials or be engineered in patterned arrays. King et al. used superconducting qubits to implement a two-dimensional artificial spin ice. By changing the strength and ratio of spin couplings, the researchers were able to access a variety of ground states. Arranging the boundary spins in an antiferromagnetic configuration and then flipping one of those spins generated a magnetic monopole in the system's interior. Science, abe2824, this issue p. 576 A reconfigurable 2D spin ice is implemented on a quantum annealer based on superconducting qubits. Artificial spin ices are frustrated spin systems that can be engineered, in which fine tuning of geometry and topology has allowed the design and characterization of exotic emergent phenomena at the constituent level. Here, we report a realization of spin ice in a lattice of superconducting qubits. Unlike conventional artificial spin ice, our system is disordered by both quantum and thermal fluctuations. The ground state is classically described by the ice rule, and we achieved control over a fragile degeneracy point, leading to a Coulomb phase. The ability to pin individual spins allows us to demonstrate Gauss’s law for emergent effective monopoles in two dimensions. The demonstrated qubit control lays the groundwork for potential future study of topologically protected artificial quantum spin liquids.

[1]  Mark W. Johnson,et al.  Scaling advantage over path-integral Monte Carlo in quantum simulation of geometrically frustrated magnets , 2021, Nature Communications.

[2]  C. Marrows,et al.  Advances in artificial spin ice , 2019, Nature Reviews Physics.

[3]  Y. Shokef,et al.  Topological defects produce exotic mechanics in complex metamaterials , 2019, Nature Physics.

[4]  Roderich Moessner,et al.  Quantum percolation of monopole paths and the response of quantum spin ice , 2019, Physical Review B.

[5]  Zuhuang Chen,et al.  Emergent magnetic monopole dynamics in macroscopically degenerate artificial spin ice , 2019, Science Advances.

[6]  R. Sarpong,et al.  Bio-inspired synthesis of xishacorenes A, B, and C, and a new congener from fuscol† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c9sc02572c , 2019, Chemical science.

[7]  M. W. Johnson,et al.  Phase transitions in a programmable quantum spin glass simulator , 2018, Science.

[8]  Mark W. Johnson,et al.  Observation of topological phenomena in a programmable lattice of 1,800 qubits , 2018, Nature.

[9]  Cristiano Nisoli,et al.  Deliberate exotic magnetism via frustration and topology , 2017, Nature Physics.

[10]  B. Canals,et al.  Extensive degeneracy, Coulomb phase and magnetic monopoles in artificial square ice , 2016, Nature.

[11]  Pietro Tierno,et al.  Engineering of frustration in colloidal artificial ices realized on microfeatured grooved lattices , 2016, Nature Communications.

[12]  Andreas Scholl,et al.  Thermal fluctuations in artificial spin ice. , 2014, Nature nanotechnology.

[13]  Gia-Wei Chern,et al.  Realizing three-dimensional artificial spin ice by stacking planar nano-arrays , 2013, 1311.1584.

[14]  Paolo Vavassori,et al.  Exploring thermally induced states in square artificial spin-ice arrays , 2013 .

[15]  Muir J. Morrison,et al.  Unhappy vertices in artificial spin ice: new degeneracies from vertex frustration , 2012, 1210.7843.

[16]  M. W. Johnson,et al.  Quantum annealing with manufactured spins , 2011, Nature.

[17]  C. Henley The ``Coulomb Phase'' in Frustrated Systems , 2009, 0912.4531.

[18]  Nigel Williams,et al.  Data set , 2009, Current Biology.

[19]  R. Moessner,et al.  Magnetic monopoles in spin ice , 2007, Nature.

[20]  V. Crespi,et al.  Artificial ‘spin ice’ in a geometrically frustrated lattice of nanoscale ferromagnetic islands , 2006, Nature.

[21]  I. Ryzhkin Magnetic relaxation in rare-earth oxide pyrochlores , 2005 .

[22]  M. Gingras,et al.  Spin Ice State in Frustrated Magnetic Pyrochlore Materials , 2001, Science.

[23]  R. Siddharthan,et al.  Zero-point entropy in ‘spin ice’ , 1999, Nature.

[24]  Aaron Stein,et al.  Thermal ground-state ordering and elementary excitations in artificial magnetic square ice , 2011 .

[25]  Physical Review Letters 63 , 1989 .