11,249 research outputs found
Quantum measurements and Paul traps in gravitational backgrounds
In the present work we solve the motion equations of a particle in a Paul
trap embeded in the gravitational field of a spherically symmetric mass. One of
the ideas behind this work concerns the analysis of the effects that the
gravity--induced quantum noise, stemming from the bodies in the neighborhood of
the Paul trap, could have upon the enhancement of the quantum behavior of this
system. This will be done considering a series expansion for the gravitational
field of the source, and including in the Hamiltonian of the Paul trap only the
first two terms. Higher--order contributions will be introduced as part of the
environment of the system, and in consequence will not appear in the
Hamiltonian. In other words, we put forward an argument that allows us to
differentiate those gravitational degrees of freedom that will appear as an
uncontrollable influence on the Paul trap. Along the ideas of the so called
restricted path integral formalism, we take into account the continuous
monitoring of the position of our particle, and in consequence the
corresponding propagators and probabilities, associated with the different
measurements outputs, are obtained.
Afterwards, the differential equation related to a quantum nondemolition
variable is posed and solved, i.e., a family of quantum nondemolition
parameters is obtained. Finally, a qualitative analysis of the effects on the
system, of the gravity--induced environment, will be done.Comment: Accepted in International Journal of Modern Physics
Quantum nondemolition measurements of a particle in electric and gravitational fields
In this work we obtain a nondemolition variable for the case in which a
charged particle moves in the electric and gravitational fields of a spherical
body. Afterwards we consider the continuous monitoring of this nondemolition
parameter, and calculate along the ideas of the so called restricted path
integral formalism, the corresponding propagator. Using these results the
probabilities associated with the possible measurement outputs are evaluated.
The limit of our results, as the resolution of the measuring device goes to
zero, is analyzed, and the dependence of the corresponding propagator upon the
strength of the electric and gravitational fields are commented. The role that
mass plays in the corresponding results, and its possible connection with the
equivalence principle at quantum level, are studied.Comment: Accepted in International Journal of Modern Physics D, 14 page
Centralized vs Decentralized Markets in the Laboratory: The Role of Connectivity
This paper compares the performance of centralized and decentralized markets experimentally. We constrain trading exchanges to happen on an exogenously predetermined network, representing the trading relationships in markets with differing levels of connectivity. Our experimental results show that, despite having lower trading volumes, decentralized markets are generally not less efficient. Although information can propagate quicker through highly connected markets, we show that higher connectivity also induces informed traders to trade faster and exploit further their information advantages before the information becomes fully incorporated into prices. This not only reduces market efficiency, but it increases wealth inequality. We show that, in more connected markets, informed traders trade not only relatively quicker, but also more, in the right direction, despite not doing it at better prices
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