Quantum optics with one or two photons

We discuss the concept of a single-photon state together with how they are generated, measured and interact with linear and nonlinear systems. In particular, we consider how a single-photon state interacts with an opto-mechanical system: an optical cavity with a moving mirror and how such states can be used as a measurement probe for the mechanical degrees of freedom. We conclude with a discussion of how single-photon states are modified in a gravitational field due to the red-shift.

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Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states

Frontiers of Physics ◽

10.1007/s11467-021-1059-8 ◽

2021 ◽

Vol 16 (4) ◽

Author(s):

Mei-Yu Wang ◽

Fengli Yan ◽

Ting Gao

Keyword(s):

Degrees Of Freedom ◽

Single Photon ◽

Entangled States ◽

Photon State ◽

Two Degrees Of Freedom ◽

Single Photon State ◽

Remote Preparation

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Energy Dissipation in Dynamical Systems Through Sequential Application and Removal of Constraints

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.3023126 ◽

2009 ◽

Vol 131 (2) ◽

Cited By ~ 8

Author(s):

Jimmy Issa ◽

Ranjan Mukherjee ◽

Alejandro R. Diaz

Keyword(s):

Energy Dissipation ◽

Nonlinear Systems ◽

Kinetic Energy ◽

Degrees Of Freedom ◽

General Application ◽

Finite Dimensional ◽

Elastic Systems ◽

Random Switching ◽

Linear And Nonlinear ◽

Linear And Nonlinear Systems

A strategy to remove energy from finite-dimensional elastic systems is presented. The strategy is based on the cyclic application and removal of constraints that effectively remove and restore degrees of freedom of the system. In general, application of a constraint removes kinetic energy from the system, while removal of the constraint resets the system for a new cycle of constraint application. Conditions that lead to a net loss in kinetic energy per cycle and bounds on the amount of energy removed are presented. In linear systems, these bounds are related to the modes of the system in its two states, namely, with and without constraints. It is shown that energy removal is always possible, even using a random switching schedule, except in one scenario, when energy is trapped in modes that span an invariant subspace with special orthogonality properties. Applications to nonlinear systems are discussed. Examples illustrate the process of energy removal in both linear and nonlinear systems.

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Mathematical modeling of conversion of non-Gaussian random processes, signals and noise in linear and nonlinear systems

Informacionno-technologicheskij vestnik ◽

10.21499/2409-1650-2018-3-66-78 ◽

2018 ◽

pp. 66-78

Author(s):

V. M. Artyushenko ◽

V. I. Volovach

Keyword(s):

Mathematical Modeling ◽

Nonlinear Systems ◽

Random Processes ◽

Mathematical Transformation ◽

Positive And Negative Feedback ◽

Non Linear Systems ◽

Linear And Nonlinear ◽

Non Gaussian ◽

Linear And Nonlinear Systems ◽

Inertial Systems

The questions connected with mathematical modeling of transformation of non-Gaussian random processes, signals and noise in linear and nonlinear systems are considered and analyzed. The mathematical transformation of random processes in linear inertial systems consisting of both series and parallel connected links, as well as positive and negative feedback is analyzed. The mathematical transformation of random processes with polygamous density of probability distribution during their passage through such systems is considered. Nonlinear inertial and non-linear systems are analyzed.

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