Real-Time Dynamics of a Spin Chain with Dzyaloshinskii-Moriya Interactions: Spiral Formation and Quantum Spin Oscillations

Abstract

We studied the non-equilibrium short-time dynamics of a spin-1/2 chain with Dzyaloshinskii-Moriya interactions after a sudden quench by a transverse field. We found that inhomogeneous spin-spirals with opposite chiralities propagate from the edges towards the center of the chain. This propagation is accompanied by quantum spin oscillations which decay asymptotically with time. A theoretical description of this phenomenon is given to a good accuracy with the help of numerical calculations with the adaptive time-dependent density matrix renormalization group algorithm.

10 pages, 9 figures

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• A spin-orbit coupled Bose-Einstein condensate
• Finite-Time Disentanglement via Spontaneous Emission
• Real time evolution using the density matrix renormalization group
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Quantum Quench in the Transverse Field Ising Chain
• Magnetically driven ferroelectric order in Ni${}_3$V${}_2$O${}_8$
• Effective thermal dynamics following a quantum quench in a spin chain
• Phase Diagram and Entanglement of Ising Model With Dzyaloshinskii-Moriya Interaction
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
• Exact results for the criticality of quench dynamics in quantum Ising models
• Coherent spin-current oscillations in transverse magnetic fields