Multiatom entanglement dynamics and entanglement transfer between remote cavities via optical fibers

2011 ◽  
Vol 89 (7) ◽  
pp. 753-759 ◽  
Author(s):  
Qi-Liang He ◽  
Ye-Qi Zhang ◽  
Jing-Bo Xu
Keyword(s):  
Sudden Death ◽  
Optical Fibers ◽  
Initial Conditions ◽  
Single Mode ◽  
Entangled State ◽  
Entanglement Sudden Death ◽  
Entanglement Dynamics ◽  
State Transfer ◽  
Perfect Transfer ◽  
Entanglement Transfer

We investigate the entanglement dynamics of a system that consists of four single-mode cavities that are spatially separated and connected by two optical fibers, with multiple two-level atoms trapped in each cavity. It is shown that the phenomenon of entanglement sudden death and sudden birth appears in this system and is sensitive to the initial conditions and the parameter r. In addition, we also study the entanglement and entangled state transfer between the atoms and find that a perfect transfer can be realized if the value of the parameter r satisfies a certain condition, established here.

ENTANGLEMENT TRANSFER IN A MULTIPARTITE CAVITY QED OPEN SYSTEM

2011 ◽  
Vol 09 (supp01) ◽  
pp. 83-92 ◽  
Author(s):  
MATTEO BINA ◽  
FEDERICO CASAGRANDE ◽  
ALFREDO LULLI ◽  
MARCO G. GENONI ◽  
MATTEO G. A. PARIS
Keyword(s):  
Sudden Death ◽  
Cavity Qed ◽  
Optical Cavity ◽  
Single Mode ◽  
Entanglement Sudden Death ◽  
Dissipative Effects ◽  
State Transfer ◽  
Cavity Modes ◽  
Entanglement Transfer ◽  
Multi Mode

We describe the dynamics of tripartite state mapping and entanglement transfer from qubit-like radiation states to two-level atoms via optical cavity modes. When the entangled radiation is carried to the cavities by single-mode fibers, optimal pure and mixed state transfer is predicted for perfect mirror transmittance, and entanglement sudden death (and birth) is demonstrated for Werner input states. The general case of multi-mode fiber coupling is also discussed. The dynamics is finally investigated under various dissipative effects.

PAIRWISE ENTANGLEMENT DYNAMICS OF A MULTIPARTITE SYSTEM IN THE TAVIS–CUMMINGS MODEL

2009 ◽  
Vol 07 (07) ◽  
pp. 1337-1348
Author(s):  
FENG HAN ◽  
YUN-JIE XIA
Keyword(s):  
Degrees Of Freedom ◽  
Single Mode ◽  
Total System ◽  
Entanglement Sudden Death ◽  
Entanglement Dynamics ◽  
Cavity Field ◽  
Atom Pair ◽  
Multipartite System ◽  
Entanglement Transfer ◽  
Single Mode Cavity

The pairwise entanglement dynamics in a multipartite system consisting of three two-level atoms A, B, C and a single-mode cavity field a is studied via negativity. Three atoms are arranged in such a way that atoms BC are embedded in and locally interact with the cavity while atom A is located in a spatially separate place outside of the cavity. Initially, atom-pair AB is prepared in a Bell-like state while atom C in a superposition of ground and excited state, |gC〉 and |eC〉. It shall be shown that all the pairwise negativities of the total system including atoms and cavity undergo qualitatively different evolutions. The so-called entanglement sudden death is observed for atom-pair AB under certain conditions and the entanglement transfer among all the possible degrees of freedom of the whole system is also discussed.

A STUDY ON THE SUDDEN DEATH AND SUDDEN BIRTH OF ENTANGLEMENT IN AN OPEN SYSTEM

2009 ◽  
Vol 07 (05) ◽  
pp. 949-957 ◽  
Author(s):  
YING-JIE ZHANG ◽  
YUN-JIE XIA
Keyword(s):  
Sudden Death ◽  
Open System ◽  
Entangled State ◽  
Entanglement Sudden Death ◽  
Entanglement Dynamics ◽  
Entanglement Evolution ◽  
Pure Case

In this paper, we consider the entanglement dynamics of two cavities interacting with independent reservoirs. When the cavity entanglement suddenly disappeared, the reservoir entanglement suddenly and necessarily appears. We study the effect of purity of initial entangled state of two cavities on the entanglement evolution, and acquire that the purity of initial entangled state of two cavities can control the apparition time of the entanglement sudden death and the entanglement sudden birth. Also, we find that the conditions on the apparition of the entanglement sudden death and the entanglement sudden birth can be generalized when the initial entangled state of cavities is not pure, which is a complement to the result in the paper [Phys. Rev. Lett.101 (2008) 080503] for the pure case.

ENTANGLEMENT DYNAMICS OF TWO QUBITS COUPLED TO SQUEEZED DISSIPATIVE ENVIRONMENTS

2010 ◽  
Vol 24 (26) ◽  
pp. 2635-2645
Author(s):  
CHUAN-JIA SHAN ◽  
TAO CHEN ◽  
JI-BING LIU ◽  
WEI-WEN CHENG ◽  
TANG-KUN LIU ◽  
...  
Keyword(s):  
Steady State ◽  
Sudden Death ◽  
Entangled States ◽  
Entanglement Sudden Death ◽  
Entanglement Dynamics ◽  
Initial Product ◽  
System Parameters ◽  
Initial States ◽  
Dissipative Environments ◽  
Degree Of Entanglement

By analytically solving the Lindblad form of the master equation, we investigate entanglement dynamics of two qubits coupled via the XY interaction, where each qubit is interacting with an independent reservoir with the squeezing parameters and squeezing angles. In the weak-squeezed reservoir, we show that the entanglement sudden death and entanglement sudden birth will happen for various entangled states. Some initial product states evolve into entangled ones, initially entangled states lose completely or partially their entanglement. The effects of varying the degree of entanglement of the initial states, the spin chain system parameters and different values of the degree of squeezing on the sudden death, revival and birth times are analyzed in detail. We also see that the steady state concurrence appears in the squeezed dissipative environments, which is affected by both the system parameters and the degree of squeezing.

scholarly journals Initial conditions and entanglement sudden death

2012 ◽  
Vol 376 (45) ◽  
pp. 2931-2934 ◽  
Author(s):  
Xiao-Feng Qian ◽  
J.H. Eberly
Keyword(s):  
Sudden Death ◽  
Initial Conditions ◽  
Entanglement Sudden Death

Three-Atom Entanglement Sudden Death and Birth in Cavity QED with the Influence of the Stark Shift

2013 ◽  
Vol 662 ◽  
pp. 537-542 ◽  
Author(s):  
Kun Hua Wu ◽  
Qing Feng Huang ◽  
Xiao Qing Zhang
Keyword(s):  
Sudden Death ◽  
Quantum System ◽  
Cavity Qed ◽  
Stark Shift ◽  
The Other ◽  
Entanglement Sudden Death ◽  
Entanglement Dynamics

We investigate the entanglement dynamics in a quantum system consisting of three two-level atoms interacting with three spatially separated cavities with the influence of the Stark shift, and we can find that the entanglement sudden death (ESD) and birth (ESB) will be improved by adjusting the Stark parameters. When we choose the appropriate Stark parameters, the phenomena of ESD and ESB will be appeared, but, which will appear earlier than the other depends on the Stark-shift values.

scholarly journals Asymptotic Entanglement Sudden Death in Two Atoms with Dipole–Dipole and Ising Interactions Coupled to a Radiation Field at Non-Zero Detuning

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 629
Author(s):  
Gehad Sadiek ◽  
Wiam Al-Dress ◽  
Salwa Shaglel ◽  
Hala Elhag
Keyword(s):  
Asymptotic Behavior ◽  
Sudden Death ◽  
Radiation Field ◽  
Quantum Correlation ◽  
Bell State ◽  
Single Mode ◽  
Mean Value ◽  
Entanglement Sudden Death ◽  
Initial State ◽  
System Parameters

We investigate the time evolution and asymptotic behavior of a system of two two-level atoms (qubits) interacting off-resonance with a single mode radiation field. The two atoms are coupled to each other through dipole--dipole as well as Ising interactions. An exact analytic solution for the system dynamics that spans the entire phase space is provided. We focus on initial states that cause the system to evolve to entanglement sudden death (ESD) between the two atoms. We find that combining the Ising and dipole--dipole interactions is very powerful in controlling the entanglement dynamics and ESD compared with either one of them separately. Their effects on eliminating ESD may add up constructively or destructively depending on the type of Ising interaction (Ferromagnetic or anti-Ferromagnetic), the detuning parameter value, and the initial state of the system. The asymptotic behavior of the ESD is found to depend substantially on the initial state of the system, where ESD can be entirely eliminated by tuning the system parameters except in the case of an initial correlated Bell state. Interestingly, the entanglement, atomic population and quantum correlation between the two atoms and the field synchronize and reach asymptotically quasi-steady dynamic states. Each one of them ends up as a continuous irregular oscillation, where the collapse periods vanish, with a limited amplitude and an approximately constant mean value that depend on the initial state and the system parameters choice. This indicates an asymptotic continuous exchange of energy (and strong quantum correlation) between the atoms and the field takes place, accompanied by diminished ESD for these chosen setups of the system. This system can be realized in spin states of quantum dots or Rydberg atoms in optical cavities, and superconducting or hybrid qubits in linear resonators.

Sign in / Sign up

Export Citation Format

Share Document