Non-Markoffian effects of a simple nonlinear bath

2002/04/17 by Hanno Gassmann, Florian Marquardt, Christoph Bruder +1 · 2 citations
Computer Science · Physics and Astronomy · #Epistemology #Nonlinear system #Philosophy #Physics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Simple (philosophy) #cond-mat.mes-hall

paper · pdf · doi:10.1103/physreve.66.041111

published as Phys. Rev. E 66, 041111 (2002) · 7 pages, 6 figures

arxiv created 2002/04/17 · openalex publication_date 2002/10/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze a model of a nonlinear bath consisting of a single two-level system coupled to a linear bath (a classical noise force in the limit considered here). This allows us to study the effects of a nonlinear, non-Markoffian bath in a particularly simple situation. We analyze the effects of this bath onto the dynamics of a spin by calculating the decay of the equilibrium correlator of the z-component of the spin. The exact results are compared with those obtained using three commonly used approximations: a Markoffian master equation for the spin dynamics, a weak-coupling approximation, and the substitution of a linear bath for the original nonlinear bath.

Citations

• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Quantum tunnelling in a dissipative system
• Exactc-Number Representation of Non-Markovian Quantum Dissipation
• Mechanisms of decoherence at low temperatures
• Decoherence and dissipation during a quantum XOR gate operation

Cited by

• Effects of a nonlinear bath at low temperatures
• Qubit quantum-dot sensors: Noise cancellation by coherent backaction, initial slips, and elliptical precession