Work

Arbitrary-length XX spin chains boundary-driven by non-Markovian environments

Year: 2022

Type: article

Abstract: In this work we provide a recursive method of calculating the wave function of an $XX$ 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 Schr\"odinger'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.

Source: Physical Review A

DOI: 10.1103/physreva.105.012429

Authors: G. Mouloudakis, T. Ilias, P. Lambropoulos

Institutions: University of Crete, FORTH Institute of Electronic Structure and Laser

Language: Latvian

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Foundation for Research and Technology-Hellas

OpenAlex ID: W3214641243

FWCI: 0.643

Cites: 61

Cited by: 9

Related to: 10