Arbitrary length XX spin chains boundary-driven by non-Markovian environments
arXiv:2111.07859 · doi:10.1103/PhysRevA.105.012429
Abstract
In this work we provide a recursive method of calculating the wavefunction of a XX spin chain coupled at both ends to non-Markovian reservoirs with arbitrary spectral density. The method is based on the appropriate handling of the time-dependent Schrodinger's equations of motion in Laplace space and leads to closed form solutions of the transformed amplitudes, for arbitrary chain lengths as well as arbitrary initial conditions, within the single-excitation subspace. Results on the dynamical as well as state transfer properties of the system for various combinations of parameters are also presented. In particular, detailed quantitative comparisons for Lorentzian and Ohmic reservoirs are illustrated.
12 pages, 8 figures
References in corpus (13)
- Finite-Time Disentanglement via Spontaneous Emission
- Dephasing assisted transport: Quantum networks and biomolecules
- Non-Markovian effects on the dynamics of entanglement
- Quantum Open System Theory: Bipartite Aspects
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
- Modeling heat transport through completely positive maps
- Perfect state transfer on a spin-chain without state initialization
- Long-distance entanglement and quantum teleportation in XX spin chains
- A matrix product solution for a nonequilibrium steady state of an XX chain
- Local control of entanglement in a spin chain
- Heat conductivity in small quantum systems: Kubo formula in Liouville space
- Vacuum as a less hostile environment to entanglement
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- Optimized control for high-fidelity state transmission in open systems
- Optimally controlled non-adiabatic quantum state transmission in the presence of quantum noise
- Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance