scholarly journals Poisson stochastic master equation unravelings and the measurement problem: A quantum stochastic calculus perspective

2020 ◽  
Vol 61 (3) ◽  
pp. 032101 ◽  
Author(s):  
Dustin Keys ◽  
Jan Wehr
Keyword(s):  
Master Equation ◽  
Measurement Problem ◽  
Stochastic Calculus ◽  
Quantum Stochastic Calculus ◽  
Stochastic Master Equation

scholarly journals The quantum trajectory approach to quantum feedback control of an oscillator revisited

2012 ◽  
Vol 370 (1979) ◽  
pp. 5338-5353 ◽  
Author(s):  
Andrew C. Doherty ◽  
A. Szorkovszky ◽  
G. I. Harris ◽  
W. P. Bowen
Keyword(s):  
Master Equation ◽  
Quantum Trajectory ◽  
Measurement Sensitivity ◽  
Position Measurement ◽  
Stochastic Master Equation ◽  
Trajectory Approach ◽  
Quantum Feedback ◽  
Master Equation Approach ◽  
Rotating Wave ◽  
Parametric Driving

We revisit the stochastic master equation approach to feedback cooling of a quantum mechanical oscillator undergoing position measurement. By introducing a rotating wave approximation for the measurement and bath coupling, we can provide a more intuitive analysis of the achievable cooling in various regimes of measurement sensitivity and temperature. We also discuss explicitly the effect of backaction noise on the characteristics of the optimal feedback. The resulting rotating wave master equation has found application in our recent work on squeezing the oscillator motion using parametric driving and may have wider interest.

scholarly journals A representation free quantum stochastic calculus

1992 ◽  
Vol 104 (1) ◽  
pp. 149-197 ◽  
Author(s):  
L Accardi ◽  
F Fagnola ◽  
J Quaegebeur
Keyword(s):  
Stochastic Calculus ◽  
Quantum Stochastic Calculus

Infinite degrees of freedom Weyl representation: Characterization and application

2018 ◽  
Vol 21 (01) ◽  
pp. 1850002
Author(s):  
Abdessatar Barhoumi ◽  
Bilel Kacem Ben Ammou ◽  
Hafedh Rguigui
Keyword(s):  
Degrees Of Freedom ◽  
Explicit Construction ◽  
Stochastic Calculus ◽  
Generalized Functions ◽  
Academic Press ◽  
Quantum Stochastic Calculus ◽  
Fock Representation ◽  
Infinite Dimensional ◽  
Weyl Representation ◽  
Nuclear Spaces

By means of infinite-dimensional nuclear spaces, we generalize important results on the representation of the Weyl commutation relations. For this purpose, we construct a new nuclear Lie group generalizing the groups introduced by Parthasarathy [An Introduction to Quantum Stochastic Calculus (Birkhäuser, 1992)] and Gelfand–Vilenkin [Generalized Functions (Academic Press, 1964)] (see Ref. 15). Then we give an explicit construction of Weyl representations generated from a non-Fock representation. Moreover, we characterize all these Weyl representations in quantum white noise setting.

Sign in / Sign up

Export Citation Format

Share Document