Intelligent states for a number-operator–annihilation-operator uncertainty relation

Abstract.We review important ideas on nuclear and quark matter description on the basis of hightemperature field theory concepts, like resummation, dimensional reduction, interaction scale separation and spectral function modification in media. Statistical and thermodynamical concepts are spotted in the light of these methods concentrating on the -partially still open-problems of the hadronization process.

show abstract

“…To construct this operator is related to the problem of regularizing the phase operator in quantum optics [200][201][202][203].…”

Section: Operator Eigenstatementioning

confidence: 99%

Nuclear and quark matter at high temperature

2017

View full text Add to dashboard Cite

show abstract

“…As we have shown, accuracy can be strongly improved by the proper choice of the ansatz. Furthermore, similar ansatzes, which can for example be Gaussian in other variables [73], may be suitable dependent on the problem. As for exact trajectories, the choice of unraveling greatly determines the amount of samples needed for a proper description.…”

Section: Discussionmentioning

confidence: 99%

Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems

Verstraelen

Wouters

2018

Applied Sciences

View full text Add to dashboard Cite

Featured Application: nonlinear; driven-dissipative; photonic cavity; optical bistability and dephasing.Abstract: We construct a class of variational methods for the study of open quantum systems based on Gaussian ansatzes for the quantum trajectory formalism. Gaussianity in the conjugate position and momentum quadratures is distinguished from Gaussianity in density and phase. We apply these methods to a driven-dissipative Kerr cavity where we study dephasing and the stationary states throughout the bistability regime. Computational cost proves to be similar to the Truncated Wigner Approximation (TWA) method, with at most quadratic scaling in system size. Meanwhile, strong correspondence with the numerically-exact trajectory description is maintained so that these methods contain more information on the ensemble constitution than TWA and can be more robust.

show abstract

“…These states are intelligent states of the Pegg-Barnett number-phase uncertainty relation [48,49]. A single-mode binomial state can be defined as the following number-state expansion [50]:…”

Section: Examples Of Generating Nonclassical Statesmentioning

confidence: 99%

Quantum state engineering via coherent-state superpositions in traveling optical fields

et al. 2018

Self Cite

View full text Add to dashboard Cite

We propose two experimental schemes for producing coherent-state superpositions which approximate different nonclassical states conditionally in traveling optical fields. Although these setups are constructed of a small number of linear optical elements and homodyne measurements, they can be used to generate various photon number superpositions in which the number of constituent states can be higher than the number of measurements in the schemes. We determine numerically the parameters to achieve maximal fidelity of the preparation for a large variety of nonclassical states, such as amplitude squeezed states, squeezed number states, binomial states and various photon number superpositions. The proposed setups can generate these states with high fidelities and with success probabilities that can be promising for practical applications.

show abstract

Intelligent states for a number-operator–annihilation-operator uncertainty relation

Cited by 8 publications

References 54 publications

Nuclear and quark matter at high temperature

Nuclear and quark matter at high temperature

Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems

Quantum state engineering via coherent-state superpositions in traveling optical fields

Contact Info

Product

Resources

About