On the Dynamics of XY Spin Chains with Impurities
arXiv:1408.6338 · doi:10.1016/j.physa.2015.04.001
Abstract
We provide a theoretical set up for studying the dynamics in quantum spin chain models with inhomogeneous two-body interaction. We frame in our formalism models that can be mapped into a fermion system with a quadratic Hamiltonian. Local and global existence results of the dynamics are discussed.
References in corpus (16)
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Quantum Quenches in Extended Systems
- Quantum dynamics of a single, mobile spin impurity
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Effective thermal dynamics following a quantum quench in a spin chain
- Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Long range correlations in the non-equilibrium quantum relaxation of a spin chain
- Adiabatic quantum dynamics of a random Ising chain across its quantum critical point
- Semi-classical theory for quantum quenches in finite transverse Ising chains
- Quantum quenches in the anisotropic spin-1/2 Heisenberg chain: different approaches to many-body dynamics far from equilibrium
- Quantum relaxation after a quench in systems with boundaries
- Mean-field Evolution of Fermionic Systems
- New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain
- Rounding of First Order Transitions in Low-Dimensional Quantum Systems with Quenched Disorder