The dynamic of quantum entanglement of two dimensional harmonic oscillator in non-commutative space

2021 ◽  
Author(s):  
Armel Azangue Koumetio ◽  
Yiande Deuto Germain ◽  
Alain Giresse Tene ◽  
Martin Tchoffo
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Entanglement ◽  
Thermal State ◽  
Vacuum State ◽  
Two Dimensional ◽  
Gaussian States ◽  
Squeezed Vacuum ◽  
Commutative Space ◽  
Spatial Coordinates ◽  
Entangled Quantum States

Abstract In the present paper, we study the influence of non-commutativity on entanglement in a system of two oscillators-modes in interaction with its environment. The considered system is a two-dimensional harmonic oscillator in non-commuting spatial coordinates coupled to its environment. The dynamics of the covariance matrix, the separability criteria for two Gaussian states in non-commutative space coordinates, and the logarithmic negativity are used to evaluate the quantum entanglement in the system, which is compared to the commutative space coordinates case. The result is applied for two initially entangled states, namely the squeezed vacuum and squeezed thermal states. It can be observed that the phenomenon of entanglement sudden death appears more early in the system for the case of squeezed vacuum state than in the case of squeezed thermal state. Thereafter, it is also observed that non-commutativity effects lead to an increasing of entanglement of initially entangled quantum states, and reduce the separability in the open quantum system. It turns out that a separable state in the usual commutative quantum mechanics might be entangled in non-commutative extension.

Quantum disentangling operator and squeezed vacuum state’s noise of a mesoscopic two-loop LC circuit with mutual inductance

2020 ◽  
Vol 34 (12) ◽  
pp. 2050121
Author(s):  
Hong-Yi Fan ◽  
Xiang-Guo Meng
Keyword(s):  
Energy Level ◽  
Quantum Entanglement ◽  
Characteristic Frequency ◽  
Quantum Noise ◽  
Vacuum State ◽  
Mutual Inductance ◽  
Physical Processes ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
Lc Circuit

Quantum disentanglement refers to the transformation of entangled quantum system into disentangled system via some physical processes. In this paper, we search for quantum disentangling operator for the mesoscopic two-loop [Formula: see text] circuit with mutual inductance [Formula: see text]. It is this mutual inductance that causes quantum entanglement. By virtue of the method of integration within ordered product (IWOP) of operators, we find the disentangling operator and deduce the energy level (characteristic frequency). The quantum noise expression of squeezed vacuum state is also derived based on which we see that the large number of quantum entanglement engendered by the mutual inductance is, the more quantum noise produces in the mesoscopic circuit.

Squeezed vacuum state in lossy channel as a squeezed thermal state

2015 ◽  
Vol 29 (33) ◽  
pp. 1550219 ◽  
Author(s):  
Hong-Chun Yuan ◽  
Xue-Xiang Xu
Keyword(s):  
Light Field ◽  
Thermal State ◽  
Vacuum State ◽  
Text Representation ◽  
Squeezed Vacuum State ◽  
Transmission Problems ◽  
Squeezed Vacuum ◽  
Analytical Expressions ◽  
Lossy Channel ◽  
Space Method

In this paper, we alternatively study the evolution of squeezed vacuum state (SVS) in lossy channel by virtue of the phase space method. By using the formula of Wigner function (WF) in coherent representation and [Formula: see text] representation of quantum density operator, the WF formula in lossy channel is derived. After obtaining the analytical expressions of the WFs of the lossy SVS and the squeezed thermal state (STS), we further prove the fact that the lossy SVS is equivalent to a kind of STS. Our result is useful in dealing with the light field transmission problems in the presence of losses.

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.

“Non-locality”

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum Theory ◽  
Quantum Entanglement ◽  
Quantum States ◽  
Entangled States ◽  
Entangled Quantum States ◽  
Action At A Distance ◽  
Insight Into ◽  
Non Locality

Quantum entanglement is popularly believed to give rise to spooky action at a distance of a kind that Einstein decisively rejected. Indeed, important recent experiments on systems assigned entangled states have been claimed to refute Einstein by exhibiting such spooky action. After reviewing two considerations in favor of this view I argue that quantum theory can be used to explain puzzling correlations correctly predicted by assignment of entangled quantum states with no such instantaneous action at a distance. We owe both considerations in favor of the view to arguments of John Bell. I present simplified forms of these arguments as well as a game that provides insight into the situation. The argument I give in response turns on a prescriptive view of quantum states that differs both from Dirac’s (as stated in Chapter 2) and Einstein’s.

Sign in / Sign up

Export Citation Format

Share Document