Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0310169

Thermal entanglement of Bosonic atoms in an optical lattice with nonlinear couplings

Lu Zhou, X. X. Yi, He‐Shan Song, Y. Q. Quo

Published Oct 29, 2003• 0 citations
arXivHTMLPDF

Abstract

The thermal entanglement of two spin-1 atoms with nonlinear couplings in optical lattices is investigated in this paper. It is found that the nonlinear couplings favor the thermal entanglement creating. The dependence of the thermal entanglement in this system on the linear coupling, the nonlinear coupling, the magnetic field and temperature is also presented. The results show that the nonlinear couplings really change the feature of the thermal entanglement in the system, increasing the nonlinear coupling constant increases the critical magnetic field and the threshold temperature.

DOI
10.48550/arxiv.quant-ph/0310169

Related papers

Thermal entanglement in 1D optical lattice chains with nonlinear coupling

Zhou Ling, Yi Xue-Xi, He‐Shan Song +1 more

The thermal entanglement of spin-1 atoms with nonlinear coupling in an optical lattice chain is investigated for two-particle and multi-particle systems. It is found that the relation between linear coupling and nonlinear coupling is the key to determine thermal entanglement, which shows in what kinds of atoms thermal entanglement exists. This result is true both for two-particle and multi-particle systems. For multi-particle systems, the thermal entanglement does not decrease greatly and the critical temperature decreases only slightly.

Chinese Physics•May 3, 2005•19 citations

Investigation of thermal entanglement in quantum information theory

Bahram Bahmani, G. Najarbashi, Leila Balazadeh

Thermal entanglement of spins are investigated in the several Heisenberg models by using of various entanglement measures, and we will evaluate the quantity of thermal entanglement with different parameters of the system (such as, magnetic field, temperture, impurity and different components of interaction). In part of proceduring, we will show that entanglement between two spins have a gaussian profile at the low temperature, and we show that there exists a relation between the QPT and the entanglement in three – qubit Heisenberg chain under the effect of impurity. In fact, QPT is the structure change in property of the ground state at the many–body system, which occures at absolute zero temperature and is purely driven by quantum fluctuation. This transitions appear with the change of a physical parameter. Thus we expect that phase transitions and critical behavior of systems can be explained by entanglement. Also, we investigate the entanglement in pure and thermal cluster states and pay attention to entanglement generation from thermal spin states inputed in a beam spliter. Then, thermal entanglement of Bosonic atoms are investigated in an optical lattices with nonlinear couplings and inhomogeneous magnetic field parameters by using of Negativity measure. We understand from the receiving results that nonlinear coupling coefficient support to entanglement can be improve under antiparalel magnetic field. Finally, we investigate quantum Teleportation at the Heisenberg model in presence of system impurity, as the result of quantum entanglement. We will demonstrate that the Fidelity average, as the measure for evaluation quantum Teleportation, can be controled by modulating magnetic field and impurity parameter Keywords: Beam Spliter, Closest Separable State, Concurrence, Entanglement, Fidelity Average, Generation Entanglement, Ground State Entanglement, Heisenberg Model, Impurity, Inhomogenous, Negativity, Nonlinear Coupling, Normal Lattice, Pure Cluster States, Pure state, Quantum Phase Transition, Quantum Teleportation, Thermal Entanglement.

•Jan 1, 2016•0 citations

Entanglement and Thermal Entanglement in Two-photon Model with Atomic Motion

LI Qu-lian

We investigate the entanglement and thermal entanglement between moving atom and Single-mode cavity in two-photon model by means of concurrence.It is shown that initial photons number and field-mode structure parameter affect entanglement and thermal entanglement in a certain degree.The evolution period of thermal entanglement doesn't change when the coupling constant between atom and cavity field has different values,while,the time of the system in maximum entanglement decreases when coupling constant reduces.Thermal entanglement decreases with the increase of system temperature when the temperature is under critical temperature.

Acta Sinica Quantum Optica•Jan 1, 2008•0 citations

Entanglement of two atoms through different couplings and thermal noise

Ling Zhou, X. X. Yi, H. S. Song +1 more

The entanglement of two atoms is studied when the two atoms are coupled to a single-mode thermal field with different couplings. The different couplings of two atoms are in favor of entanglement preparation: it not only makes the case of absence entanglement with same coupling appear entanglement, but also enhances the entanglement with the increasing of the relative difference of two couplings. We also show that the diversity of coupling can improved the critical temperature. If the optical cavity is leaky during the time evolution, the dissipative thermal environment is benefit to produce the entanglement.

arXiv:quant-ph/0308086•Journal of Optics B Quantum and Semiclassical Optics•Jul 23, 2004•40 citations

THERMAL ENTANGLEMENT IN A TWO-QUTRIT SYSTEM WITH NONLINEAR COUPLING UNDER NONUNIFORM EXTERNAL MAGNETIC FIELD

Iman Sargolzahi, Sayyed Yahya Mirafzali, Mohsen Sarbishaei

We study the thermal entanglement of a 2-qutrit spin chain with nonlinear coupling in the presence of nonuniform magnetic field. Thermal entanglement of an arbitrary (finite-dimensional) m-partite system vanishes at some finite threshold temperature Ts. We investigate the dependence of Ts on the system's parameters, i.e. the nonlinear coupling and the magnetic field, for this 2-qutrit system. In addition, we compare two lower bounds of I-concurrence for this system and also study its dense coding capacity as a function of system's parameters.

arXiv:0705.3568•International Journal of Quantum Information•Aug 1, 2008•4 citations

Entanglement and teleportation in thermal states of spin chains with nonlinear coupling

Nour Zidan, Ahmed Redwan, Tarek M. El-Shahat +2 more

The impact of nonlinear coupling on entanglement and teleportation in a two-qubit spin system featuring Dzyaloshinskii–Moriya (DM) interaction was investigated while considering both homogeneous and inhomogeneous magnetic fields. Additionally, the dependencies of entanglement and teleportation on temperature and magnetic field for this specific interaction were analyzed. The findings demonstrate that the nonlinear coupling and DM interaction play significant roles in enhancing entanglement and teleportation. Furthermore, the results show that nonlinear coupling can positively affect the negativity and accuracy of teleportation, which are critical factors in quantum information processing. This suggests that nonlinear coupling could be valuable in developing quantum technologies.

Alexandria Engineering Journal•May 22, 2024•0 citations
The thermal entanglement of two spin-1 atoms with nonlinear couplings in optical lattices is investigated in this paper. It is found that the nonlinear couplings favor the thermal entanglement creating. The dependence of the thermal entanglement in this system on the linear coupling, the nonlinear coupling, the magnetic field and temperature is also presented. The results show that the nonlinear couplings really change the feature of the thermal entanglement in the system, increasing the nonlinear coupling constant increases the critical magnetic field and the threshold temperature.
The thermal entanglement of spin-1 atoms with nonlinear coupling in an optical lattice chain is investigated for two-particle and multi-particle systems. It is found that the relation between linear coupling and nonlinear coupling is the key to determine thermal entanglement, which shows in what kinds of atoms thermal entanglement exists. This result is true both for two-particle and multi-particle systems. For multi-particle systems, the thermal entanglement does not decrease greatly and the critical temperature decreases only slightly.
Thermal entanglement of spins are investigated in the several Heisenberg models by using of various entanglement measures, and we will evaluate the quantity of thermal entanglement with different parameters of the system (such as, magnetic field, temperture, impurity and different components of interaction). In part of proceduring, we will show that entanglement between two spins have a gaussian profile at the low temperature, and we show that there exists a relation between the QPT and the entanglement in three – qubit Heisenberg chain under the effect of impurity. In fact, QPT is the structure change in property of the ground state at the many–body system, which occures at absolute zero temperature and is purely driven by quantum fluctuation. This transitions appear with the change of a physical parameter. Thus we expect that phase transitions and critical behavior of systems can be explained by entanglement. Also, we investigate the entanglement in pure and thermal cluster states and pay attention to entanglement generation from thermal spin states inputed in a beam spliter. Then, thermal entanglement of Bosonic atoms are investigated in an optical lattices with nonlinear couplings and inhomogeneous magnetic field parameters by using of Negativity measure. We understand from the receiving results that nonlinear coupling coefficient support to entanglement can be improve under antiparalel magnetic field. Finally, we investigate quantum Teleportation at the Heisenberg model in presence of system impurity, as the result of quantum entanglement. We will demonstrate that the Fidelity average, as the measure for evaluation quantum Teleportation, can be controled by modulating magnetic field and impurity parameter Keywords: Beam Spliter, Closest Separable State, Concurrence, Entanglement, Fidelity Average, Generation Entanglement, Ground State Entanglement, Heisenberg Model, Impurity, Inhomogenous, Negativity, Nonlinear Coupling, Normal Lattice, Pure Cluster States, Pure state, Quantum Phase Transition, Quantum Teleportation, Thermal Entanglement.
We investigate the entanglement and thermal entanglement between moving atom and Single-mode cavity in two-photon model by means of concurrence.It is shown that initial photons number and field-mode structure parameter affect entanglement and thermal entanglement in a certain degree.The evolution period of thermal entanglement doesn't change when the coupling constant between atom and cavity field has different values,while,the time of the system in maximum entanglement decreases when coupling constant reduces.Thermal entanglement decreases with the increase of system temperature when the temperature is under critical temperature.
The entanglement of two atoms is studied when the two atoms are coupled to a single-mode thermal field with different couplings. The different couplings of two atoms are in favor of entanglement preparation: it not only makes the case of absence entanglement with same coupling appear entanglement, but also enhances the entanglement with the increasing of the relative difference of two couplings. We also show that the diversity of coupling can improved the critical temperature. If the optical cavity is leaky during the time evolution, the dissipative thermal environment is benefit to produce the entanglement.
We study the thermal entanglement of a 2-qutrit spin chain with nonlinear coupling in the presence of nonuniform magnetic field. Thermal entanglement of an arbitrary (finite-dimensional) m-partite system vanishes at some finite threshold temperature Ts. We investigate the dependence of Ts on the system's parameters, i.e. the nonlinear coupling and the magnetic field, for this 2-qutrit system. In addition, we compare two lower bounds of I-concurrence for this system and also study its dense coding capacity as a function of system's parameters.
The impact of nonlinear coupling on entanglement and teleportation in a two-qubit spin system featuring Dzyaloshinskii–Moriya (DM) interaction was investigated while considering both homogeneous and inhomogeneous magnetic fields. Additionally, the dependencies of entanglement and teleportation on temperature and magnetic field for this specific interaction were analyzed. The findings demonstrate that the nonlinear coupling and DM interaction play significant roles in enhancing entanglement and teleportation. Furthermore, the results show that nonlinear coupling can positively affect the negativity and accuracy of teleportation, which are critical factors in quantum information processing. This suggests that nonlinear coupling could be valuable in developing quantum technologies.