Quantum Langevin approach for non-Markovian quantum dynamics of the spin-boson model

Abstract

One long-standing difficult problem in quantum dissipative dynamics is to solve the spin-boson model in a non-Markovian regime where a tractable systematic master equation does not exist. The spin-boson model is particularly important due to its crucial applications in quantum noise control and manipulation as well as its central role in developing quantum theories of open systems. Here we solve this important model by developing a non-Markovian quantum Langevin approach. By projecting the quantum Langevin equation onto the coherent states of the bath, we can derivie a set of non-Markovian quantum Bloch equations containing no explicit noise variables. This special feature offers a tremendous advantage over the existing stochastic Schrödinger equations in numerical simulations. The physical significance and generality of our approach are briefly discussed.

8 pages, 1 figure

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Cited by in corpus (8)

• A Unified Stochastic Formulation of Dissipative Quantum Dynamics. I. Generalized Hierarchical Equations
• Quantum Zeno and anti-Zeno effects in quantum dissipative systems
• Exact Non-Markovian master equation for the Spin-Boson and Jaynes-Cummings models
• Eternal non-Markovianity is generic for the spin-boson model
• Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
• Protection of Logical Qubits via Optimal State Transfers
• Spin-boson model under dephasing: Markovian vs Non-Markovian dynamics
• Dark state with counter-rotating dissipative channels