Magnetization oscillations in a periodically driven transverse field Ising chain

Abstract

We investigate the nonequilibrium dynamics of the magnetization in an Ising chain subjected to a slowly rotating transverse field. The magnetization oscillations are found to be explained by the contributions from different particle excitations in the quantum $E_8$ model. We study the magnetization in the frequency domain in detail, uncovering a series of singular peaks for the $z$ (Ising) component. These singular peaks are split into two sets for the magnetization along $x$ and $y$ directions with frequency shifts set by the rotational-field frequency. The peaks include both $\delta$-function type and edge-singularity type peaks. The $\delta$-function peaks can be attributed to particle excitations involving an $E_8$ particle with either the vacuum or a different particle. The edge-singularity peaks are contributed by particle excitations of two $E_8$ particles with either the vacuum or another particle, or by particle excitations that contain two sets of two particles with each set including at least a particle of the same type. We propose a Rydberg qubit array for possible experimental investigation.

arXiv comment12 pages, 2 figures

References in corpus (48)

• Photovoltaic Hall effect in graphene
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Quantum Time Crystals
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Quench in the Transverse Field Ising Chain
• Time evolution of local observables after quenching to an integrable model
• Absence of Quantum Time Crystals
• Classical Time Crystals
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Real time confinement following a quantum quench to a non-integrable model
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Electron Spin Resonance in S=1/2 antiferromagnetic chains
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Quantum criticality under decoherence or weak measurement
• Theory of Low Temperature Electron Spin Resonance in Half-integer Spin Antiferromagnetic Chains
• The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at $T=T_c$
• Quasilocalized dynamics from confinement of quantum excitations
• Entanglement Oscillations near a Quantum Critical Point
• Confinement and Entanglement Dynamics on a Digital Quantum Computer
• Magnetization and phase transition induced by circularly polarized laser in quantum magnets
• On the theory of quantum quenches in near-critical systems
• $E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo${}_2$V${}_2$O${}_8$ under Transverse Field
• Prethermalization in one-dimensional quantum many-body systems with confinement
• Entanglement in one-dimensional critical state after measurements
• Quantum quenches with integrable pre-quench dynamics
• One-point functions in massive integrable QFT with boundaries
• Quench dynamics of the Ising field theory in a magnetic field
• Observation of E8 Particles in an Ising Chain Antiferromagnet
• An instanton-like excitation of a discrete time crystal
• Finite temperature spin dynamics in a perturbed quantum critical Ising chain with an $E_8$ symmetry
• Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
• Crossovers and critical scaling in the one-dimensional transverse-field Ising model
• Testing quantum adiabaticity with quench echo
• Kibble-Zurek mechanism in the Ising Field Theory
• Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
• Cascade of singularities in the spin dynamics of a perturbed quantum critical Ising chain
• System-environment entanglement phase transitions
• Perturbative post-quench overlaps in Quantum Field Theory
• Duality and Form Factors in the Thermally Deformed Two-Dimensional Tricritical Ising Model
• Magnetic excitations in the one-dimensional Heisenberg-Ising model with external fields and their experimental realizations
• Spin dynamics of the $E_8$ particles
• Quench-induced spontaneous currents in rings of ultracold fermionic atoms
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Quantum quench in a driven Ising chain
• Escaping fronts in local quenches of a confining spin chain
• Kibble-Zurek mechanism and errors of gapped quantum phases
• On unitary time evolution out of equilibrium

Cited by in corpus (5)

• Mesons in a quantum Ising ladder
• Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
• Berry connection and quantum geometry in time-dependent systems with instantaneous quantum integrable field theory
• Engineering Ponderomotive Potential for Realizing $\pi$ and $\pi /2$ Bosonic Josephson Junctions
• Thermally activated detection of dark particles in a weakly coupled quantum Ising ladder