Relaxation dynamics in the gapped XXZ spin-1/2 chain
arXiv:1002.3988 · doi:10.1088/1367-2630/12/5/055028
Abstract
We study the dynamics of a quench-prepared domain wall state released into a system whose unitary time evolution is dictated by the Hamiltonian of the Heisenberg spin-1/2 gapped antiferromagnetic chain. Using exact wavefunctions and their overlaps with the domain wall state allows us to describe the release dynamics to high accuracy, up to the long-time limit, for finite as well as infinite systems. The results for the infinite system allow us to rigorously prove that the system in the gapped regime () cannot thermalize in the strict sense.
18 pages, 4 figures
References in corpus (18)
- Thermalization and its mechanism for generic isolated quantum systems
- Dynamics of Loschmidt echoes and fidelity decay
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- The Luttinger model following a sudden interaction switch-on
- Dynamical phase transition in correlated fermionic lattice systems
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Dephasing and the steady state in quantum many-particle systems
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Strongly correlated fermions after a quantum quench
- Effective thermal dynamics following a quantum quench in a spin chain
- Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- Quantum quenches from integrability: the fermionic pairing model
- Correlations in an expanding gas of hard-core bosons
- Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
- Deformed strings in the Heisenberg model
- The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain