Quantum Dynamics of System Strongly Coupled to Low-Temperature Colored Noise Bath: Reduced Hierarchy Equations Approach

DOI10.1143/JPSJ.74.3131zbMath1089.82014OpenAlexW1998081146WikidataQ57987688 ScholiaQ57987688MaRDI QIDQ5291163

Yoshitaka Tanimura, Akihito Ishizaki

Publication date: 9 May 2006

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.74.3131

zbMATH Keywords

low temperature quantum dissipative system hierarchy of equations nonperturbative treatment Gaussian-Markovian noise

Mathematics Subject Classification ID

White noise theory (60H40) Renormalization group methods in equilibrium statistical mechanics (82B28) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (13)

Comparisons of different witnesses of non-Markovianity ⋮ Quantum feedback: theory, experiments, and applications ⋮ Succinct description and efficient simulation of non-Markovian open quantum systems ⋮ Quantum dissipative dynamics of a bistable system in the sub-Ohmic to super-Ohmic regime ⋮ BIPARTITE AND MULTIPARTITE CORRELATIONS OF COUPLED QUBITS IN A NON-MARKOVIAN ENVIRONMENT: HIERARCHY EQUATION METHOD ⋮ Mappings of open quantum systems onto chain representations and Markovian embeddings ⋮ Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion ⋮ Linear-algebraic bath transformation for simulating complex open quantum systems ⋮ Quantum dynamics in a tiered non-Markovian environment ⋮ A new approach for open quantum systems based on a phonon number representation of a harmonic oscillator bath ⋮ Non-Markovian correlation functions for open quantum systems ⋮ Hybrid quantum variational algorithm for simulating open quantum systems with near-term devices ⋮ Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth

This page was built for publication: Quantum Dynamics of System Strongly Coupled to Low-Temperature Colored Noise Bath: Reduced Hierarchy Equations Approach