Journal ArticleDOI
Positivity violation and initial slips in open systems
Sven Gnutzmann,Fritz Haake +1 more
TLDR
In this article, a non-Lindblad master equation without Lindblad form was shown to violate the positivity of the density operator in the Ornstein Uhlenbeck process both at high and low temperatures.Abstract:
Master equations without Lindblad form can in principle violate the positivity of the density operator. However, when such a master equation arises through systematic adiabatic elimination of fast variables from underlying microscopic dynamics, the violation can at worst arise on time scales one has coarsegrained over when performing the adiabatic elimination and can thus simply be ignored. Examples of non-Lindblad master equations are shown to arise for the Ornstein Uhlenbeck process both at high and low temperatures and for a single-mode laser operated near threshold.read more
Citations
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Journal ArticleDOI
Brownian motors: noisy transport far from equilibrium
TL;DR: In this paper, the main emphasis is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal noise and some prototypical perturbation that drives the system out of equilibrium without introducing a priori an obvious bias into one or the other direction of motion.
Book
Quantum Measurement Theory and its Applications
TL;DR: In this article, the authors present a survey of quantum mesoscopic systems and their applications in information theory, statistical mechanics, open systems, and measurement, as well as quantum feedback control.
Journal ArticleDOI
Modeling heat transport through completely positive maps
TL;DR: An alternative master equation is derived that is capable of describing a stationary energy current and, at the same time, leads to a completely positive dynamical map that paves the way for efficient numerical investigations of heat transport in larger systems based on Monte Carlo wave function techniques.
Journal ArticleDOI
Phase space approach to theories of quantum dissipation
TL;DR: In this article, the authors compared six major theories of quantum dissipative dynamics: Redfield theory, the Gaussian phase space ansatz of Yan and Mukamel, the master equations of Agarwal, Caldeira-Leggett/Oppenheim-Romero-Rochin, and Louisell/Lax, and the semigroup theory of Lindblad.
Journal ArticleDOI
Non-Markovian quantum state diffusion: Perturbation approach
TL;DR: In this article, a perturbation theory for non-Markovian quantum state diffusion (QSD) is presented, which greatly simplifies the general non-markovian QSD approach, and allows for efficient numerical simulations beyond the Markov approximation.
References
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Book
The Boltzmann equation and its applications
TL;DR: In this article, the Boltzmann Equation for rigid spheres is used to model the dynamics of a gas of rigid spheres in phase space and to solve the problem of flow and heat transfer in regions bounded by planes or cylinders.
Book ChapterDOI
Statistical treatment of open systems by generalized master equations
TL;DR: This paper deals with the dynamics of open systems moving irreversibly under the influence of their surroundings (B), and uses a complete microscopic description of the composite system S⊕B as a basis for the discussion of an open system S.
Book ChapterDOI
The Boltzmann Equation
TL;DR: In this article, the problem of describing the state of thermal equilibrium of a monatomic perfect gas can be nicely solved; in particular, they found a very simple formula for the one-particle distribution P (1) in the form of a Maxwellian.