Dynamic spin localization and gamma-magnets

Abstract

We explore an unusual type of quantum matter that can be realized by qubits having different physical origin. Interactions in this matter are described by essentially different coupling operators for all qubits. We show that at least the simplest such models, which can be realized with localized states in Dirac materials, satisfy integrability conditions that we use to describe pseudospin dynamics in a linearly time-dependent magnetic field. Generalizing to an arbitrary number of qubits, we construct a spin Hamiltonian, which we call the gamma-magnet. This system does not conserve polarization of any spin and the net spin polarization. Nevertheless, for arbitrarily strong interactions, nonadiabatic dynamics, and any initial eigenstate, we find that quantum interference suppresses spin-flips. This behavior resembles many-body localization but occurs in phase space of many spins rather than real space. This effect may not have a counterpart in classical physics and can be a signature of a new type of spin ordering, which is different from both disordered spin glasses and ordered phases of spin lattices.

arXiv comment10 pages, 4 figures

References in corpus (29)

• Quantum Spin Hall Effect in Graphene
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• Dirac materials
• Generalized Gibbs ensemble in integrable lattice models
• Topological phases with parafermions: theory and blueprints
• Entanglement in a quantum annealing processor
• Single-molecule Nanomagnets
• Coherent Manipulation and Decoherence of S=10 Single-Molecule Magnets
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Circuit design for multi-body interactions in superconducting quantum annealing system with applications to a scalable architecture
• Simultaneous control of the Dzyaloshinskii-Moriya interaction and magnetic anisotropy in nanomagnetic trilayers
• Integrable time-dependent quantum Hamiltonians
• Solvable multistate model of Landau-Zener transitions in cavity QED
• Diabolical Points in Magnetic Molecules: An Exactly Solvable Model
• Quantum Tunneling in Half-Integer Spin Systems
• Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets
• Landau-Zener extension of the Tavis-Cummings model: structure of the solution
• Influence of the Dzyaloshinskii-Moriya exchange interaction on quantum phase interference of spins
• The Quest for Solvable Multistate Landau-Zener Models
• Solvable 4-state Landau-Zener model of two interacting qubits with path interference
• Quantum integrability in the multistate Landau-Zener problem
• Quenched Spin Tunneling and Diabolical Points in Magnetic Molecules: II. Asymmetric Configurations
• Geometric-phase interference in a Mn_{12} single-molecule magnet with four-fold rotational symmetry
• Quantum annealing and thermalization: insights from integrability
• Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
• A large class of solvable multistate Landau-Zener models and quantum integrability
• Dynamic Symmetries and Quantum Nonadiabatic Transitions
• Gaussian ensemble for quantum integrable dynamics

Cited by in corpus (8)

• Analytical solution for nonadiabatic quantum annealing to arbitrary Ising spin Hamiltonian
• Nonadiabatic transitions in Landau-Zener grids: integrability and semiclassical theory
• Coherent reaction between molecular and atomic Bose-Einstein condensates: integrable model
• Multitime Landau-Zener model: classification of solvable Hamiltonians
• Solution to a class of multistate Landau-Zener model beyond integrability conditions
• Derivation of the Landau-Zener formula via functional equations
• Graph-theoretical search for integrable multistate Landau-Zener models
• Integrability in the multistate Landau-Zener model with time-quadratic commuting operators