Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Realization of Quantum Integer-Spin Chains with Controllable Interactions

Paul Hess, Philip Richerme, Crystal Senko, Jacob Smith, Aaron Lee, I. Cohen, Alex Retzker, Chris Monroe

Published Jun 9, 2015• 0 citations
OpenAlex

Related papers

Realization of a Quantum Integer-Spin Chain with Controllable Interactions

Crystal Senko, Philip Richerme, Smith, J. +4 more

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this physics experimentally. We demonstrate how spin-dependent forces on trapped ions can be used to engineer an effective system of interacting spin-1 particles. Our system evolves coherently under an applied spin-1 XY Hamiltonian with tunable, long-range couplings, and all three quantum levels at each site participate in the dynamics. We observe the time evolution of the system and verify its coherence by entangling a pair of effective three-level particles (“qutrits”) with 86% fidelity. By adiabatically ramping a global field, we produce ground states of the XY model, and we demonstrate an instance where the ground state cannot be created without breaking the same symmetries that protect the topological Haldane phase. This experimental platform enables future studies of symmetry-protected order in spin-1 systems and their use in quantum applications.

•Jan 1, 2015•126 citations

Interacting quantum spin chains

A. Zheludev

Applied Physics A•Dec 1, 2002•11 citations

Quantum phase transitions in integer spin chains

A. Zheludev

Bulletin of the American Physical Society•Mar 16, 2006•0 citations

Realization of a Quantum Integer-Spin Chain with Controllable Interactions

C. Senko, Philip Richerme, J. Smith +4 more

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases.However, there has not been a controllable model system to study this physics experimentally.We demonstrate how spin-dependent forces on trapped ions can be used to engineer an effective system of interacting spin-1 particles.Our system evolves coherently under an applied spin-1 XY Hamiltonian with tunable, long-range couplings, and all three quantum levels at each site participate in the dynamics.We observe the time evolution of the system and verify its coherence by entangling a pair of effective three-level particles ("qutrits") with 86% fidelity.By adiabatically ramping a global field, we produce ground states of the XY model, and we demonstrate an instance where the ground state cannot be created without breaking the same symmetries that protect the topological Haldane phase.This experimental platform enables future studies of symmetry-protected order in spin-1 systems and their use in quantum applications.

arXiv:1410.0937•Physical Review X•Jun 17, 2015•125 citations

Spin analogs of superconductivity and integer quantum Hall effect in an array of spin chains

Daniel Hill, Se Kwon Kim, Yaroslav Tserkovnyak

Motivated by the successful idea of using weakly coupled quantum electronic wires to realize the quantum Hall effects and the quantum spin Hall effects, we theoretically study two systems composed of weakly coupled quantum spin chains within the mean-field approximations, which can exhibit spin analogs of superconductivity and the integer quantum Hall effect. First, a certain bilayer of two arrays of interacting spin chains is mapped, via the Jordan-Wigner transformation, to an attractive Hubbard model that exhibits fermionic superconductivity, which corresponds to spin superconductivity in the original spin Hamiltonian. Secondly, an array of spin-orbit-coupled spin chains in the presence of a suitable external magnetic field is transformed to an array of quantum wires that exhibits the integer quantum Hall effect, which translates into its spin analog in the spin Hamiltonian. The resultant spin superconductivity and spin integer quantum Hall effect can be characterized by their ability to transport spin without any resistance.

arXiv:1701.01509•Physical review. B./Physical review. B•May 24, 2017•3 citations

Universality Relations in Non-solvable Quantum Spin Chains

G. Benfatto, V. Mastropietro

arXiv:0907.2837•Journal of Statistical Physics•Jan 8, 2010•22 citations
The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this physics experimentally. We demonstrate how spin-dependent forces on trapped ions can be used to engineer an effective system of interacting spin-1 particles. Our system evolves coherently under an applied spin-1 XY Hamiltonian with tunable, long-range couplings, and all three quantum levels at each site participate in the dynamics. We observe the time evolution of the system and verify its coherence by entangling a pair of effective three-level particles (“qutrits”) with 86% fidelity. By adiabatically ramping a global field, we produce ground states of the XY model, and we demonstrate an instance where the ground state cannot be created without breaking the same symmetries that protect the topological Haldane phase. This experimental platform enables future studies of symmetry-protected order in spin-1 systems and their use in quantum applications.
The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases.However, there has not been a controllable model system to study this physics experimentally.We demonstrate how spin-dependent forces on trapped ions can be used to engineer an effective system of interacting spin-1 particles.Our system evolves coherently under an applied spin-1 XY Hamiltonian with tunable, long-range couplings, and all three quantum levels at each site participate in the dynamics.We observe the time evolution of the system and verify its coherence by entangling a pair of effective three-level particles ("qutrits") with 86% fidelity.By adiabatically ramping a global field, we produce ground states of the XY model, and we demonstrate an instance where the ground state cannot be created without breaking the same symmetries that protect the topological Haldane phase.This experimental platform enables future studies of symmetry-protected order in spin-1 systems and their use in quantum applications.
Motivated by the successful idea of using weakly coupled quantum electronic wires to realize the quantum Hall effects and the quantum spin Hall effects, we theoretically study two systems composed of weakly coupled quantum spin chains within the mean-field approximations, which can exhibit spin analogs of superconductivity and the integer quantum Hall effect. First, a certain bilayer of two arrays of interacting spin chains is mapped, via the Jordan-Wigner transformation, to an attractive Hubbard model that exhibits fermionic superconductivity, which corresponds to spin superconductivity in the original spin Hamiltonian. Secondly, an array of spin-orbit-coupled spin chains in the presence of a suitable external magnetic field is transformed to an array of quantum wires that exhibits the integer quantum Hall effect, which translates into its spin analog in the spin Hamiltonian. The resultant spin superconductivity and spin integer quantum Hall effect can be characterized by their ability to transport spin without any resistance.