Dynamic magnetization in non-Hermitian quantum spin system

Abstract

We report a global effect induced by the local complex field, associated with the spin-exchange interaction. High-order exceptional point up to ($N+1$)-level coalescence is created at the critical local complex field applied to the $N$-size quantum spin chain. The ($N+1$)-order coalescent level is a saturated ferromagnetic ground state in the isotropic spin system. Remarkably, the final state always approaches the ground state for an arbitrary initial state with any number of spin flips; even if the initial state is orthogonal to the ground state. Furthermore, the switch of macroscopic magnetization is solely driven by the time and forms a hysteresis loop in the time domain. The retentivity and coercivity of the hysteresis loop mainly rely on the non-Hermiticity. Our findings highlight the cooperation of non-Hermiticity and the interaction in quantum spin system, suggest a dynamical framework to realize magnetization, and thus pave the way for the non-Hermitian quantum spin system.

10 pages, 4 figures

References in corpus (31)

• The physics of exceptional points
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Enhanced sensitivity operation of an optical gyroscope near an exceptional point
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
• The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
• Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
• Non-Hermitian Many-Body Localization
• Parity-time-symmetric quantum critical phenomena
• Quantum Noise Theory of Exceptional Point Sensors
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Heralded magnetism in non-Hermitian atomic systems
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Entanglement and spin squeezing in non-Hermitian phase transitions
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Incident Direction Independent Wave Propagation and Unidirectional Lasing
• Topological Characterization of Extended Quantum Ising Models
• Entanglement in non-unitary quantum critical spin chains
• Kondo effect in a parity-time-symmetric non-Hermitian Hamiltonian
• Coulomb analogy for nonhermitian degeneracies near quantum phase transitions
• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• The Kibble-Zurek mechanism at exceptional points
• High order exceptional points in ultracold Bose gases
• Anisotropic exceptional points of arbitrary order
• Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains
• Perfect State Transfer in PT-symmetric Non-Hermitian Networks
• Non-Hermitian anisotropic XY model with intrinsic rotation-time reversal symmetry
• Conventional quantum phase transition driven by complex parameter in non-Hermitian PT-symmetric Ising model
• Parity-time symmetry breaking in spin chains
• Effective non-Hermitian physics for degenerate ground states of a nonHermitian Ising model with $\mathcal{R}\mathcal{T}$ symmetry

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• Resonant generation of $p$-wave Cooper pair in non-Hermitian Kitaev chain at exceptional point
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Steady helix states in a resonant XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
• Quantum mold casting for topological insulating and edge states
• Probing the superfluid-insulator phase transition by a non-Hermitian external field
• Composite Quantum Phases in Non-Hermitian Systems
• Magnetization in a non-equilibrium quantum spin system
• $\mathcal{P}\mathcal{T}$-Symmetry breaking in quantum spin chains with exceptional non-Hermiticities
• Supersymmetry of $\mathcal{P}\mathcal{T}$- symmetric tridiagonal Hamiltonians
• Building ground states of Hubbard model by time-ordered bound-pair injection
• Exceptional spectrum and dynamic magnetization