A NEW FEATURE ON THE SUDDEN DEATH OF ENTANGLEMENT

Based on the exactly analytic solution obtained of the intensity-dependent Jaynes–Cummings model for a certain class of initial entangled mixed states, we explore the time evolution of the entanglement between two atoms, initially non-locally correlated and separately interacting with two distinct cavities. The results show that entanglement sudden death is dependent on the different initial states of atoms, and the length of the time interval for the zero entanglement is invariant for a certain class of initial mixed states.

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Evolution from entanglement to decoherence

Quantum Information and Computation ◽

10.26421/qic7.5-6-3 ◽

2007 ◽

Vol 7 (5&6) ◽

pp. 459-468 ◽

Cited By ~ 1

Author(s):

T. Yu ◽

J.H. Eberly

Keyword(s):

Sudden Death ◽

Time Evolution ◽

Early Stage ◽

Environmental Noise ◽

Entanglement Sudden Death ◽

Mixed States

We examine a class of bipartite mixed states which we call X states and report several analytic results related to the occurrence of early-stage decoherence or so-called entanglement sudden death (ESD) under time evolution in the presence of common types of environmental noise. Avoidance of sudden death by application of purely local operations is shown to be feasible in some cases.

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ENTANGLEMENT DYNAMICS OF TWO QUBITS COUPLED TO SQUEEZED DISSIPATIVE ENVIRONMENTS

Modern Physics Letters B ◽

10.1142/s0217984910024948 ◽

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.

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Effects of initial coherence on distinguishability of pure/mixed states and chiral stability in an open chiral system

Canadian Journal of Chemistry ◽

10.1139/cjc-2013-0354 ◽

2014 ◽

Vol 92 (2) ◽

pp. 112-118 ◽

Cited By ~ 1

Author(s):

Heekyung Han ◽

David M. Wardlaw ◽

Alexei M. Frolov

Keyword(s):

Analytical Solution ◽

Time Evolution ◽

Mixed States ◽

Position Measurement ◽

Decay Interaction ◽

Initial States ◽

Chiral Systems ◽

Chiral System ◽

Dephasing Rate ◽

Pure Versus

We examine how initial coherences in open chiral systems affect distinguishability of pure versus mixed states and purity decay. Interaction between a system and an environment is modeled by a continuous position measurement and a two-level approximation is taken for the system. The resultant analytical solution is explored for various parameters, with emphasis on the interplay of initial coherences of the system and dephasing rate in determining the purity decay and differences in the time evolution of pure versus mixed initial states. Implications of the results for several fundamental problems are noted.

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DYNAMICAL SUPPRESSION OF ENTANGLEMENT SUDDEN DEATH IN A JAYNES–CUMMINGS MODEL EXTENDED

Modern Physics Letters B ◽

10.1142/s0217984909017911 ◽

2009 ◽

Vol 23 (02) ◽

pp. 163-169

Author(s):

XUE-QUN YAN

Keyword(s):

Sudden Death ◽

Time Evolution ◽

Electromagnetic Pulse ◽

Atomic Motion ◽

Single Atom ◽

Entanglement Sudden Death ◽

Mode Structure ◽

Elementary Model ◽

Finite Duration

The Jaynes–Cummings model extended by the inclusion of mode structure and atomic motion is an elementary model that describes the interaction between a single atom and electromagnetic pulse. Based on the model, we explore the time evolution of the entanglement between two atoms, initially non-locally correlated and crossing separately two distinct cavities. Our results show that this model suggests a strategy to fight against the so-called entanglement sudden death, and in the situation resurrection of the original entanglement value occurs periodically and the entanglement will remain at the original value for a finite duration.

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Entanglement Sudden Death and Birth Effects in Two Qubits Maximally Entangled Mixed States Under Quantum Channels

International Journal of Theoretical Physics ◽

10.1007/s10773-019-04332-z ◽

2019 ◽

Vol 59 (2) ◽

pp. 403-414 ◽

Cited By ~ 2

Author(s):

Kapil K. Sharma ◽

Vladimir P. Gerdt

Keyword(s):

Sudden Death ◽

Entanglement Sudden Death ◽

Quantum Channels ◽

Mixed States

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DYNAMICS OF PAIRWISE ENTANGLEMENT IN THE THREE-QUBIT HEISENBERG XX SPIN CHAIN

International Journal of Quantum Information ◽

10.1142/s0219749909005985 ◽

2009 ◽

Vol 07 (08) ◽

pp. 1447-1458 ◽

Cited By ~ 1

Author(s):

E. WU ◽

XIAO-AN ZHANG

Keyword(s):

Magnetic Field ◽

Sudden Death ◽

Spin Chain ◽

Uniform Magnetic Field ◽

Magnetic Impurity ◽

Dynamic Evolution ◽

Entanglement Sudden Death ◽

Initial States

For a three-qubit Heisenberg XX spin chain with the uniform magnetic field and magnetic impurity, dynamic evolution of pairwise entanglement are studied. We show that the phenomenon of entanglement sudden death (ESD) occurs in the evolution of entanglement for some initial states. We also find that magnetic impurity cannot only eliminate the phenomenon of ESD but also induce the ESD effects, which is different from the case of uniform magnetic field where the ESD can be depressed but cannot be eliminated by introducing the uniform magnetic field.

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