Non-Markovian dynamics for bipartite systems

2008/05/31 by Bassano Vacchini · 2 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreva.78.022112

published as Phys. Rev. A 78, 022112 (2008) · published version, 15 pages, revtex, no figures

openalex publication_date 2008/08/25 · arxiv created 2008/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A master equation is derived, which we term the quantum Bloch-Boltzmann equation, describing both motional and internal states of a test particle in a quantum framework. When due to the preparation of the system or to decoherence effects one of the two degrees of freedom is amenable to a classical treatment and not resolved in the final measurement, though relevant for the interaction with the reservoir, non-Markovian behaviors such as stretched exponential or power law decay of coherences can occur.

Citations

• Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation
• Completely positive post-Markovian master equation via a measurement approach
• Completely positive dynamical semigroups of N-level systems
• Non-Markovian generalization of the Lindblad theory of open quantum systems
• Monitoring derivation of the quantum linear Boltzmann equation
• Theory of decoherence in a matter wave Talbot-Lau interferometer
• Quantum description of Einstein’s Brownian motion

Cited by

• Initial correlations in open-systems dynamics: The Jaynes-Cummings model
• Effective Hamiltonian approach to open systems and its applications