scholarly journals Quantum Entanglement and its Quantification in a Two-Mode Cascade Laser

2021 ◽  
pp. 1-8
Author(s):  
Ebisa Mosisa Kanea ◽  
Keyword(s):  
Master Equation ◽  
Quantum Entanglement ◽  
Normal Ordering ◽  
Logarithmic Negativity ◽  
Squeezed Vacuum ◽  
Level Laser ◽  
Cavity Radiation ◽  
Schwartz Inequality ◽  
Correlation Properties ◽  
Degree Of Entanglement

In this paper, quantum entanglement of correlated two-mode light generated by a three-level laser coupled to a two-mode squeezed vacuum reservoir is thoroughly analyzed using different inseparability criteria, using the master equation, we obtain the stochastic dierential equation and the correlation properties of the noise forces associated with the normal ordering. Next, we study the photon entanglement by considering different inseparability criteria. In particular, the criteria applied are Duan-Giedke-Cirac-Zoller (DGCZ) criterion, logarithmic negativity, Hillery-Zubairy, and Cauchy-Schwartz inequality and we found that the presence of the squeezing parameter leads to an increase in the degree of entanglement. Moreover, the linear gain coecient significantly achieved the degree of entanglement for the cavity radiation

scholarly journals Generation of Entangled Light from a Nondegenerate Three-Level Laser Coupled to a Two-Mode Vacuum Reservoir

2021 ◽  
Vol 66 (7) ◽  
pp. 551
Author(s):  
T. Abebe ◽  
Ch. Gashu
Keyword(s):  
Differential Equations ◽  
Master Equation ◽  
Stochastic Differential Equations ◽  
Normal Ordering ◽  
Quantum Properties ◽  
Level Laser ◽  
Cavity Radiation ◽  
Cavity Modes ◽  
Degree Of Entanglement

The quantum properties of a nondegenerate three-level cascade laser coupled to a two-mode vacuum reservoir are throughly analyzed with the use of the pertinent master equation and stochastic differential equations associated with the normal ordering. Particularly, the enhancement of squeezing and the amplification of photon entanglement of the two-mode cavity light are investigated. It is found that the two cavity modes are strongly entangled, and the degree of entanglement is directly related to the two-mode squeezing. Moreover, the squeezing and entanglement of the cavity radiation enhance with the rate of atomic injection.

scholarly journals The Quantum analysis of Nondegenerate Three-Level Laser with Spontaneous Emission and Noiseless Vacuum Reservoir

2018 ◽  
Vol 63 (11) ◽  
pp. 969 ◽  
Author(s):  
T. Abebe
Keyword(s):  
Spontaneous Emission ◽  
Photon Number ◽  
State Level ◽  
Vacuum State ◽  
Langevin Equations ◽  
Normal Ordering ◽  
Squeezed Light ◽  
Quantum Analysis ◽  
Level Laser ◽  
Cavity Radiation

The analysis of quantum properties of the cavity light produced by a coherently driven nondegenerate three-level laser possessing an open cavity and coupled to a two-mode vacuum reservoir is presented. The normal ordering of noise operators associated with the vacuum reservoir is considered. Applying the solutions of the equations of evolution for the expectation values of the atomic operators and the quantum Langevin equations for the cavity mode operators, the squeezing properties, entanglement amplification, and the normalized second-order correlation function of the cavity radiation are described. The three-level laser generates squeezed light under certain conditions, with maximum intracavity squeezing being 50% below the vacuum-state level. Moreover, it is found that the presence of spontaneous emission increases the quadrature squeezing and entanglement and decreses the mean photon number of the two-mode cavity radiation.

scholarly journals Entanglement Quantification of Correlated Photons Generated by Three-Level Laser with Parametric Amplifier and Coupled to a Two-Mode Vacuum Reservoir

2020 ◽  
Vol 2020 ◽  
pp. 1-14 ◽  
Author(s):  
Chimdessa Gashu ◽  
Ebisa Mosisa ◽  
Tamirat Abebe
Keyword(s):  
Differential Equation ◽  
Stochastic Differential Equation ◽  
Optical System ◽  
Laser Cavity ◽  
Gain Coefficient ◽  
Parametric Amplifier ◽  
Normal Ordering ◽  
Level Laser ◽  
Quantum Optical ◽  
Correlation Properties

In this paper, the detailed inseparability criteria of entanglement quantification of correlated two-mode light generated by a three-level laser with a coherently driven parametric amplifier and coupled to a two-mode vacuum reservoir is thoroughly analyzed. Using the master equation, we obtain the stochastic differential equation and the correlation properties of the noise forces associated with the normal ordering. Next, we study the squeezing and the photon entanglement by considering different inseparability criteria. The various criteria of entanglement used in this paper show that the light generated by the quantum optical system is entangled and the amount of entanglement is amplified by introducing the parametric amplifier into the laser cavity and manipulating the linear gain coefficient.

scholarly journals Enhanced Squeezing and Entanglement in Nondegenerate Three-Level Laser Coupled to Squeezed Vacuum Reservoir

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Ebisa Mosisa
Keyword(s):  
Differential Equations ◽  
Cavity Mode ◽  
Photon Number ◽  
Intensity Difference ◽  
Normal Ordering ◽  
Symplectic Matrix ◽  
Squeezed Vacuum ◽  
Level Atom ◽  
Level Laser ◽  
The Mean

Squeezing and entanglement of a two-mode cascade laser, produced by a three-level atom which is initially prepared by a coherent superposition of the top and bottom levels then injected into a cavity coupled to a two-mode squeezed vacuum reservoir is discussed. I obtain stochastic differential equations associated with the normal ordering using the pertinent master equation. Making use of the solutions of the resulting differential equations, we determined the mean photon number for the cavity mode and their correlation, EPR variables, smallest eigenvalue of the symplectic matrix, intensity difference fluctuation, and photon number correlation. It is found that the squeezed vacuum reservoir increases the degree of the statistical and nonclassical features of light produced by the system. Furthermore, using the criteria developed by logarithm negativity and Hillery-Zubairy criteria, the quantum entanglement of the cavity mode is quantified. It is found that the degree of the entanglement for the system under consideration increases with the squeezing parameter of the squeezed vacuum reservoir.

scholarly journals Dynamics of the Cavity Radiation of a Correlated Emis-sion Laser Coupled to a Two-Mode Thermal Reservoir

2021 ◽  
Vol 66 (12) ◽  
pp. 1027
Author(s):  
B. Alemu ◽  
Ch. Gashu ◽  
E. Mosisa ◽  
T. Abebe
Keyword(s):  
State Level ◽  
Vacuum State ◽  
Quantum Processes ◽  
Normal Order ◽  
Thermal Reservoir ◽  
Quantum Properties ◽  
Level Laser ◽  
Cavity Radiation ◽  
Thermal Light ◽  
Degree Of Entanglement

In this paper, the quantum properties of the cavity light beam produced by a coherently driven nondegenerate three-level laser with an open cavity and coupled to a two-mode thermal reservoir are thoroughly analyzed. We have carried out our analysis by putting the noise operators associated with the thermal reservoir in normal order. Here we discussed more the effect of thermal light and the spontaneous emission on the dynamics of the quantum processes. It is found that the maximum degree of intracavity squeezing 43% below the vacuum-state level. Moreover, the presence of thermal light leads to decrease the degree of entanglement.

Quantum entanglement and teleportation in superposition of multiple-photon-added two-mode squeezed vacuum state

2020 ◽  
Vol 34 (25) ◽  
pp. 2050223
Author(s):  
T. M. Duc ◽  
T. Q. Dat ◽  
H. S. Chuong
Keyword(s):  
Quantum Entanglement ◽  
Single Photon ◽  
Vacuum State ◽  
Addition Formula ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Einstein Podolsky Rosen ◽  
Quantum Steering ◽  
Degree Of Entanglement ◽  
Photon Addition

In this paper, a new state called superposition of multiple-photon-added two-mode squeezed vacuum state (SMPA-TMSVS) is introduced by adding the multiple photons to both modes of a two-mode squeezed vacuum state (TMSVS). We explicitly investigate the degree of quantum entanglement, the Einstein–Podolsky–Rosen (EPR) correlation and the quantum steering in the SMPA-TMSVS. The results show in the SMPA-TMSVS that the degree of entanglement and the EPR correlation can be enhanced by nonlocal adding photons to a TMSVS. The quantum steering appears in the SMPA-TMSVS in case the superposition of single-photon addition [Formula: see text], in which mode [Formula: see text] can steer mode [Formula: see text]. By using the SMPA-TMSVS as an entangled resource, the quantum teleportation process is studied in detail based on the Vaidman–Braunstein–Kimble (VBK) protocol.

scholarly journals Enhancing Steady-State Entanglement Generated by a Nondegenerate Three-Level Laser with Thermal Reservoir

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Tamirat Abebe ◽  
Tewodros Yirgashewa ◽  
Abebe Belay
Keyword(s):  
Steady State ◽  
Large Time ◽  
Approximation Scheme ◽  
Atomic State ◽  
Expectation Values ◽  
Normal Ordering ◽  
Time Approximation ◽  
Thermal Reservoir ◽  
Level Laser ◽  
Cavity Radiation

We analyze a nondegenerate three-level cascade laser with an open cavity and coupled to a two-mode thermal reservoir employing the stochastic differential equations for atomic operators associated with the normal ordering. Applying the large-time approximation scheme, we obtain the solutions for the corresponding equations of evolution of the expectation values of atomic operators. Furthermore, employing the resulting solutions, we studied the photon as well as cavity atomic-state entanglement amplification of the cavity radiation.

scholarly journals Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Samim Akhtar ◽  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
Debopam Goswami ◽  
Sudhakar Panda ◽  
...  
Keyword(s):  
Scalar Field ◽  
Density Matrix ◽  
Master Equation ◽  
Quantum Entanglement ◽  
De Sitter Space ◽  
Thermal Bath ◽  
Massless Scalar Field ◽  
De Sitter ◽  
Open Quantum ◽  
Non Locality

Abstract In this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.

CORRELATION OF SUPERCURRENTS IN TWO DISTANT MESOSCOPIC SQUID RINGS IN THE PRESENCE OF TWO-MODE NONCLASSICAL FIELD

2005 ◽  
Vol 19 (11) ◽  
pp. 1965-1971 ◽  
Author(s):  
Z. H. PENG ◽  
J. ZOU ◽  
B. SHAO ◽  
J. F. CAI
Keyword(s):  
Quantum Interference ◽  
Vacuum State ◽  
Superconducting Quantum Interference Device ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Superconducting Quantum Interference ◽  
Squid Rings ◽  
Degree Of Entanglement

In this paper we consider two distant mesoscopic superconducting quantum interference device (SQUID) rings A and B in the presence of two-mode squeezed vacuum state field, and aim to see the effect of the field on the correlation of supercurrents in the two rings. We know the degree of entanglement of the two-mode squeezed vacuum state increases with the squeezing parameter r. In this paper we find that the correlation of the supercurrents increases with the parameter r too, meaning that the correlation of the supercurrents increases with the degree of entanglement of the field.

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