Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench

Abstract

We study the unitary time evolution of antiferromagnetic order in anisotropic Heisenberg chains that are initially prepared in a pure quantum state far from equilibrium. Our analysis indicates that the antiferromagnetic order imprinted in the initial state vanishes exponentially. Depending on the anisotropy parameter, oscillatory or non-oscillatory relaxation dynamics is observed. Furthermore, the corresponding relaxation time exhibits a at the critical point, in contrast to the usual notion of critical slowing down, from which a maximum is expected.

4 pages, 4 figures

References in corpus (5)

• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Quench dynamics across quantum critical points
• Strongly correlated fermions after a quantum quench
• Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
• Quantum Many-Body Dynamics of Coupled Double-Well Superlattices

Cited by in corpus (4)

• Dynamical phase transition in correlated fermionic lattice systems
• Quantum Quench from a Thermal Initial State
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Universal Dephasing of Many-Body Rabi Oscillations of Atoms in One-Dimensional Traps