Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials

DOI10.1063/1.3490188zbMath1309.81119arXiv1006.4507OpenAlexW3102953496WikidataQ59459720 ScholiaQ59459720MaRDI QIDQ5245778

Susana F. Huelga, Alex W. Chin, Ángel Rivas, Martin B. Plenio

Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4507

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Other special orthogonal polynomials and functions (33C47) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items

Dynamics of a chlorophyll dimer in collective and local thermal environments, Entanglement spectrum in general free fermionic systems, Quench dynamics of the Anderson impurity model at finite temperature using matrix product states: entanglement and bath dynamics, Bath correlation functions for logarithmic-like spectral densities, Polaronic quantum diffusion in dynamic localization regime, Exploring complete positivity in hierarchy equations of motion, Non-Markovianity and memory of the initial state, Fast algorithms of bath calculations in simulations of quantum system-bath dynamics, Dissipation assisted Thouless pumping in the Rice–Mele model, Numerical time propagation of quantum systems in radiation fields, Matrix product state representation without explicit local Hilbert space truncation with applications to the sub-ohmic spin-boson model, A knob for Markovianity, Mappings of open quantum systems onto chain representations and Markovian embeddings, Linear-algebraic bath transformation for simulating complex open quantum systems, Efficient simulation of non-Markovian system-environment interaction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ground state(s) of the spin-boson Hamiltonian
• Condensed Matter Field Theory
• Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules