# Dynamic spin localization and gamma-magnets

## TL;DR

This paper introduces the gamma-magnet, a novel quantum spin system with unique interactions, demonstrating that quantum interference can suppress spin-flips even under strong interactions and nonadiabatic conditions, indicating a new form of spin ordering.

## Contribution

The paper constructs and analyzes the gamma-magnet model, revealing a new quantum spin behavior where interference suppresses spin-flips without polarization conservation.

## Key findings

- Quantum interference suppresses spin-flips in the gamma-magnet.
- The gamma-magnet exhibits a new type of spin ordering.
- Suppression occurs regardless of interaction strength and initial states.

## 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.