Effective scheme for enhancing entanglement in distant optomechanical system by injecting the atomic medium

2013 ◽  
Vol 91 (2) ◽  
pp. 146-152
Author(s):  
Zhi-Cheng Shi ◽  
Yan Xia ◽  
Jie Song
Keyword(s):  
Steady State ◽  
Decay Rate ◽  
Quantum Entanglement ◽  
Radiation Pressure ◽  
Optomechanical System ◽  
Effective Scheme ◽  
Atomic Medium ◽  
Effective Decay ◽  
Atomic Media

In this paper, we propose a method to enhance the steady-state entanglement between cavity fields and mechanical modes by injecting atomic media into the cavities. The atomic medium interaction with the cavities can change the effective decay rate of the photons and the radiation pressure of the cavity fields on the two mirrors. Thus it provides us with a way to enhance the quantum entanglement in the optomechanical system.

Steady-state quantum correlation measurement in hybrid optomechanical systems

2020 ◽  
pp. 2050046
Author(s):  
Tesfay Gebremariam Tesfahannes ◽  
Merkebu Dereje Getahune
Keyword(s):  
Correlation Function ◽  
Steady State ◽  
Quantum Entanglement ◽  
Quantum Correlation ◽  
Optical Cavity ◽  
Quantum Correlations ◽  
Correlation Measurement ◽  
Atomic Ensemble ◽  
Optomechanical System ◽  
Optomechanical Systems

In this paper, we investigate the steady-state of quantum correlation measurement of hybrid optomechanical systems. The first system consists of a single optomechanical system simultaneously coupled to a mechanical oscillator. While the second system is a hybrid optomechanical system consisting of an atomic ensemble placed in between the optical cavity and mirror. For both optomechanical systems, we formulate the Hamiltonian and the explicit expression of the covariance matrix leading to the dynamic of the system. Under the linearization approximation, we investigate the steady-state quantum correlations which are quantified through the correlation function of non-Hermitian operators, while the logarithmic negativity is used to quantify the amount of quantum entanglement between the subsystems. Furthermore, our proposed quantum correlation function can be used to quantify the entangled bipartite states that are correlative and transfer information. It is found that the transfer of quantum correlations between the subsystem is related to the detuning and coupling strength. Our results provide a realistic route toward remote quantum entanglement detection and a framework of future realistic fiber-optic quantum network operating applications.

SET-VALUED PERFORMANCE APPROXIMATIONS FOR THE QUEUE GIVEN PARTIAL INFORMATION

2020 ◽  
pp. 1-23
Author(s):  
Yan Chen ◽  
Ward Whitt
Keyword(s):  
Steady State ◽  
Decay Rate ◽  
Waiting Time ◽  
Partial Information ◽  
Upper And Lower Bounds ◽  
Interarrival Time ◽  
Limited Information ◽  
Wide Range ◽  
The Mean ◽  
Third Moment

In order to understand queueing performance given only partial information about the model, we propose determining intervals of likely values of performance measures given that limited information. We illustrate this approach for the mean steady-state waiting time in the $GI/GI/K$ queue. We start by specifying the first two moments of the interarrival-time and service-time distributions, and then consider additional information about these underlying distributions, in particular, a third moment and a Laplace transform value. As a theoretical basis, we apply extremal models yielding tight upper and lower bounds on the asymptotic decay rate of the steady-state waiting-time tail probability. We illustrate by constructing the theoretically justified intervals of values for the decay rate and the associated heuristically determined interval of values for the mean waiting times. Without extra information, the extremal models involve two-point distributions, which yield a wide range for the mean. Adding constraints on the third moment and a transform value produces three-point extremal distributions, which significantly reduce the range, producing practical levels of accuracy.

scholarly journals Rrp6p/Rrp47p constitutes an independent nuclear turnover system of mature small non-coding RNAs in Saccharomyces cerevisiae

2020 ◽  
Author(s):  
Anusha Chaudhuri ◽  
Subhadeep Das ◽  
Mayukh Banerjea ◽  
Biswadip Das
Keyword(s):  
Saccharomyces Cerevisiae ◽  
Steady State ◽  
Decay Rate ◽  
Nuclear Decay ◽  
Steady State Levels ◽  
Nuclear Exosome ◽  
Non Coding Rnas ◽  
Selective Enhancement

In Saccharomyces cerevisiae, the nuclear exosome/Rrp6p/TRAMP participates in the 3'-end processing of several precursor non-coding RNAs. Here we demonstrate that the depletion of nucleus-specific 3'to 5' exoribonuclease Rrp6p and its co-factor Rrp47p led to the specific and selective enhancement of steady-state levels of mature small non-coding RNAs (sncRNAs) that include 5S and 5.8S rRNAs, snRNAs and snoRNAs, but not 18S and 25S rRNAs. Most importantly, their steady-state enhancement does not require the exosome, TRAMP, CTEXT or Rrp6p-associated Mpp6p. Rrp6p/47p-dependent enhancement of the steady-state levels of sncRNAs is associated with the diminution of their nuclear decay-rate and requires their polyadenylation before targeting by Rrp6p, which is catalyzed by both the canonical and non-canonical poly(A) polymerases, Pap1p and Trf4p. Consistent with this finding, the Rrp6p and Rrp47p were demonstrated to exist as an exosome-independent complex. Thus, Rrp6p-Rrp47p defines a core nuclear exosome-independent novel turnover system that targets the small non-coding RNAs.

scholarly journals Enhancement of steady-state bosonic squeezing and entanglement in a dissipative optomechanical system

2018 ◽  
Vol 26 (11) ◽  
pp. 13783 ◽  
Author(s):  
Chang-Geng Liao ◽  
Hong Xie ◽  
Xiao Shang ◽  
Zhi-Hua Chen ◽  
Xiu-Min Lin
Keyword(s):  
Steady State ◽  
Optomechanical System

Logarithmic asymptotics for steady-state tail probabilities in a single-server queue

1994 ◽  
Vol 31 (A) ◽  
pp. 131-156 ◽  
Author(s):  
Peter W. Glynn ◽  
Ward Whitt
Keyword(s):  
Steady State ◽  
Decay Rate ◽  
Partial Sums ◽  
Asymptotic Result ◽  
Service Discipline ◽  
Single Server ◽  
Single Server Queue ◽  
Asymptotic Decay ◽  
Server Queue ◽  
Service Times

We consider the standard single-server queue with unlimited waiting space and the first-in first-out service discipline, but without any explicit independence conditions on the interarrival and service times. We find conditions for the steady-state waiting-time distribution to have asymptotics of the form x–1 log P(W> x) → –θ ∗as x → ∞for θ ∗ > 0. We require only stationarity of the basic sequence of service times minus interarrival times and a Gärtner–Ellis condition for the cumulant generating function of the associated partial sums, i.e. n–1 log E exp (θSn) → ψ (θ) as n → ∞, plus regularity conditions on the decay rate function ψ. The asymptotic decay rate θ is the root of the equation ψ (θ) = 0. This result in turn implies a corresponding asymptotic result for the steady-state workload in a queue with general non-decreasing input. This asymptotic result covers the case of multiple independent sources, so that it provides additional theoretical support for a concept of effective bandwidths for admission control in multiclass queues based on asymptotic decay rates.

Steady-state control in an unstable optomechanical system

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Nicolas L. Naumann ◽  
Sven M. Hein ◽  
Andreas Knorr ◽  
Julia Kabuss
Keyword(s):  
Steady State ◽  
State Control ◽  
Optomechanical System ◽  
Steady State Control

Newtonian repulsion and radial confinement: Convergence toward steady state

2021 ◽  
pp. 1-25
Author(s):  
Ruiwen Shu ◽  
Eitan Tadmor
Keyword(s):  
Steady State ◽  
Decay Rate ◽  
Large Time ◽  
Large Time Behavior ◽  
Steady States ◽  
Parameter Family ◽  
Time Behavior ◽  
Comparison Argument ◽  
Algebraic Convergence ◽  
Unique Steady State

We investigate the large time behavior of multi-dimensional aggregation equations driven by Newtonian repulsion, and balanced by radial attraction and confinement. In case of Newton repulsion with radial confinement we quantify the algebraic convergence decay rate toward the unique steady state. To this end, we identify a one-parameter family of radial steady states, and prove dimension-dependent decay rate in energy and 2-Wassertein distance, using a comparison with properly selected radial steady states. We also study Newtonian repulsion and radial attraction. When the attraction potential is quadratic it is known to coincide with quadratic confinement. Here, we study the case of perturbed radial quadratic attraction, proving that it still leads to one-parameter family of unique steady states. It is expected that this family to serve for a corresponding comparison argument which yields algebraic convergence toward steady repulsive-attractive solutions.

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