Adiabatically steered open quantum systems: Master equation and optimal phase

Abstract

We introduce an alternative way to derive the generalized form of the master equation recently presented by J. P. Pekola et al. [Phys. Rev. Lett. 105, 030401 (2010)] for an adiabatically steered two-level quantum system interacting with a Markovian environment. The original derivation employed the effective Hamiltonian in the adiabatic basis with the standard interaction picture approach but without the usual secular approximation. Our approach is based on utilizing a master equation for a non-steered system in the first super-adiabatic basis. It is potentially efficient in obtaining higher-order equations. Furthermore, we show how to select the phases of the adiabatic eigenstates to minimize the local adiabatic parameter and how this selection leads to states which are invariant under a local gauge change. We also discuss the effects of the adiabatic noncyclic geometric phase on the master equation.

8 pages, no figures, final version

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• Adiabatic approximation in open quantum systems
• Experimental determination of the Berry phase in a superconducting charge pump
• Geometric nature of the environment-induced Berry phase and geometric dephasing
• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Measurement scheme of the Berry phase in superconducting circuits
• Nanoampere pumping of Cooper pairs
• Decoherence of adiabatically steered quantum systems
• High fidelity all-optical control of quantum dot spins: detailed study of the adiabatic approach
• Environmental noise reduction for holonomic quantum gates

Cited by in corpus (15)

• Quantum Adiabatic Markovian Master Equations
• Quantum systems under frequency modulation
• Floquet theory of Cooper pair pumping
• Geometric quantum gates with superconducting qubits
• Conservation law of operator current in open quantum systems
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Superadiabatic theory for Cooper pair pumping under decoherence
• Crossover from adiabatic to antiadiabatic quantum pumping with dissipation
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• Geometric quantum pumping in the presence of dissipation
• On the rotating wave approximation in the adiabatic limit
• Cooper pair current in the presence of flux noise
• Coherent superconducting quantum pump
• Entanglement generation between unstable optically active qubits without photodetectors
• Quantum effect of inductance on geometric Cooper-pair transport