Adiabatically steered open quantum systems: Master equation and optimal phase

Journal Article · Wed Dec 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.062112· OSTI ID:21528820

Salmilehto, J; Solinas, P ^[1]; Ankerhold, J ^[2]; Moettoenen, M ^[1]

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1. Department of Applied Physics/COMP, Aalto University, P.O. Box 14100, FI-00076 Aalto (Finland)
2. Institut fuer Theoretische Physik, Universitaet Ulm, Albert-Einstein-Allee 11, DL-89069 Ulm (Germany)

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 nonsteered system in the first superadiabatic 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.

• OSTI ID: 21528820
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADIABATIC APPROXIMATION
APPROXIMATIONS
CALCULATION METHODS
EIGENSTATES
EQUATIONS
HAMILTONIANS
INTERACTIONS
MARKOV PROCESS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
QUANTUM STATES
STOCHASTIC PROCESSES