Entropy squeezing, nonlocal correlation and purification properties of two-trap ion interaction with laser field in the presence of Stark shift effect

2019 ◽  
Vol 33 (12) ◽  
pp. 1950118
Author(s):  
Yas Al-Hadeethi ◽  
Bahaaudin M. Raffah ◽  
Nawal Almalky ◽  
E. M. Khalil
Keyword(s):  
Laser Field ◽  
Entanglement Entropy ◽  
Dynamical Behavior ◽  
Stark Shift ◽  
Entanglement Sudden Death ◽  
Entropy Squeezing ◽  
Trapped Ion ◽  
Nonlocal Correlation ◽  
Initial States ◽  
Shift Effect

In this paper, the interaction between two trap ions with laser beam and electromagnetic field containing the Stark shift terms has been investigated. The analytical solution for the differential equations which describes the system Hamiltonian is obtained. The dynamical behavior for the entanglement, entropy squeezing and purity of system are discussed. Some important physical characteristics such as revivals and collapses for the occupation of the trapped ion, entanglement sudden death (birth) and single trapped ion entropy squeezing are discussed. In addition, the influence of Lamb–Dicke parameter and the initial states on the evolution of the entanglement, linear entropy are studied. Finally, some remarks about the obtained results are given briefly.

scholarly journals Interference of a resonance state with itself: a route to control its dynamical behaviour

2020 ◽  
Vol 22 (26) ◽  
pp. 14637-14644
Author(s):  
A. García-Vela
Keyword(s):  
Laser Field ◽  
Quantum Interference ◽  
Dynamical Behavior ◽  
Resonance State ◽  
Weak Field ◽  
Dynamical Behaviour ◽  
State Distribution ◽  
Decay Lifetime

It is demonstrated both numerically and mathematically that the dynamical behavior of an isolated resonance state (the decay lifetime and the asymptotic fragment state distribution), can be extensively controlled by means of quantum interference induced by a laser field in the weak-field regime.

scholarly journals Probing Rényi entanglement entropy via randomized measurements

Science ◽  
2019 ◽  
Vol 364 (6437) ◽  
pp. 260-263 ◽  
Author(s):  
Tiff Brydges ◽  
Andreas Elben ◽  
Petar Jurcevic ◽  
Benoît Vermersch ◽  
Christine Maier ◽  
...  
Keyword(s):  
Quantum System ◽  
Entanglement Entropy ◽  
Quantum Systems ◽  
Quantum States ◽  
Many Body ◽  
Trapped Ion ◽  
Statistical Correlations ◽  
Quantum Simulator ◽  
Entanglement Structure ◽  
Arbitrary Quantum

Entanglement is a key feature of many-body quantum systems. Measuring the entropy of different partitions of a quantum system provides a way to probe its entanglement structure. Here, we present and experimentally demonstrate a protocol for measuring the second-order Rényi entropy based on statistical correlations between randomized measurements. Our experiments, carried out with a trapped-ion quantum simulator with partition sizes of up to 10 qubits, prove the overall coherent character of the system dynamics and reveal the growth of entanglement between its parts, in both the absence and presence of disorder. Our protocol represents a universal tool for probing and characterizing engineered quantum systems in the laboratory, which is applicable to arbitrary quantum states of up to several tens of qubits.

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.

Aspects of Entropy Squeezing and Entanglement for Moving Two-Level Atom in Presence of Finite Trio Coherent State

2016 ◽  
Vol 13 (10) ◽  
pp. 7455-7459
Author(s):  
S. I Ali ◽  
A. M Mosallem ◽  
T Emam
Keyword(s):  
Entanglement Entropy ◽  
Photon Number ◽  
Atomic Motion ◽  
Von Neumann Entropy ◽  
Wehrl Entropy ◽  
Entropy Squeezing ◽  
Von Neumann ◽  
Special Values ◽  
Level Atom ◽  
Motion Parameters

In this paper, we investigate the entanglement of the interaction of three modes of radiation field with moving and unmoving two-level atom. The time evolution of the von Neumann entropy, entropy squeezing and marginal atomic Wehrl entropy is investigated. The marginal atomic Wehrl entropy as squeezing indicator of the entanglement of the system is suggested. The results beacon the important roles played by both the atomic motion parameters in the evolution of entanglement, entropy squeezing and marginal atomic Wehrl entropy. Using special values of the photon number of transition and atomic motion parameter, the entanglement phenomena of sudden death and long living entanglenment can be appeared. The results show that there is atomic motion monotonic harmonization atomic Wehrl entropy (WE). It is illustrated that the amount of the above-mentioned phenomena can be tuned by controlling the evolved parameters appropriately.

scholarly journals Accurate Wavenumber Measurement in High Resolution Stimulated Raman Spectroscopy (SRS) by Using an Infrared Standard. ν1 Fundamental of 12CH4

1992 ◽  
Vol 12 (1-2) ◽  
pp. 53-63 ◽  
Author(s):  
J. Santos ◽  
P. Cancio ◽  
J. L. Domenech ◽  
J. Rodriguez ◽  
D. Bermejo
Keyword(s):  
Laser Field ◽  
Stark Shift ◽  
Previous Measurement ◽  
Field Amplitude ◽  
Zero Field ◽  
Ir Absorption ◽  
Absolute Accuracy ◽  
Error Sources ◽  
Order Of Magnitude ◽  
Stimulated Raman

A new set of wavenumbers for the Stimulated Raman Spectrum (SRS) of the ν1 band of 12CH4 is presented using the Infrared (IR) absorption spectrum of the P10 component of ν3 of the same molecule as a wavenumbers standard. An estimation of the Stark shift due to the pump laser field is experimentally deduced what allows to extrapolate the measured wavenumbers to zero field amplitude. A careful discussion about the main possible error sources and how to cope with them is also included.The absolute accuracy of the wavenumbers set presented here is believed to be at least one order of magnitude better as compared with previous measurement.

ACCELERATING THE REVIVAL OF A TRAPPED-ION SYSTEM

2008 ◽  
Vol 22 (07) ◽  
pp. 467-474 ◽  
Author(s):  
L. SHE ◽  
J. M. LI ◽  
K. L. GAO
Keyword(s):  
Laser Field ◽  
Ion Trap ◽  
Rabi Oscillation ◽  
Laser Frequency ◽  
Resonant Interaction ◽  
Trapped Ions ◽  
Trapped Ion ◽  
Trap System

We propose a method to accelerate the revival of ion Rabi oscillation in a trapped ion system. Suitable manipulation of the frequency of the driven laser field permits us to switch from Jaynes–Cummings to off-resonant interaction. The combination of Jaynes–Cummings model and the off-resonant model induces some interesting characteristics of the ion-trap system, particularly the accelerated revival of the population of trapped ions. The amplitude of this revival is sensitive to the change of the laser frequency.

Influence of the Stark Shift on Entanglement Sudden Death and Birth in Cavity QED

2011 ◽  
Vol 28 (1) ◽  
pp. 010301 ◽  
Author(s):  
Jian-Song Zhang ◽  
Ai-Xi Chen ◽  
Kun-Hua Wu
Keyword(s):  
Sudden Death ◽  
Cavity Qed ◽  
Stark Shift ◽  
Entanglement Sudden Death
Sign in / Sign up

Export Citation Format

Share Document