Dynamics of tripartite correlations for three qubits in independent
thermal reservoirs
- URL: http://arxiv.org/abs/2109.03965v1
- Date: Tue, 7 Sep 2021 17:57:18 GMT
- Title: Dynamics of tripartite correlations for three qubits in independent
thermal reservoirs
- Authors: Sourabh Magare, Abhinash Kumar Roy, and Prasanta K. Panigrahi
- Abstract summary: We show that the presence of temperature gradient between reservoirs play a significant role in robustness of multipartite correlation against environmental decoherence.
For the common temperature case, we show that the genuine multipartite concurrence for the GHZ class Werner state decays irreversibly.
For the Ohmic reservoirs at low temperature, we observe that the state retains initial multipartite correlation upto a characteristic time and then sharply decays to zero with a correlation sudden death.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the dynamical evolution of multipartite entanglement in
tripartite systems with three qubits present in independent thermal reservoirs,
modelled as infinite set of quantum harmonic oscillators. We show that the
presence of temperature gradient between reservoirs play a significant role in
robustness of multipartite correlation against environmental decoherence.
Considering a bilinear form of interaction Hamiltonian, an exact expression for
time evolved density matrix is presented. Interestingly, it is observed that
the preservation duration of genuine multipartite concurrence for GHZ class
Werner state increases as the temperature gradient between reservoirs are
increased. However, this increase is non-linear and the preservation duration
is shown to saturate for large temperature gradients. It is also observed that,
for large temperature gradient, there are multiple intervals in which coherence
and consequently the tripartite negativity shows robustness (freezing of
correlation) against the environmental decoherence for W class Werner states.
For the common temperature case, we show that the genuine multipartite
concurrence for the GHZ class Werner state decays irreversibly, and the state
experiences correlation sudden death, with a rate dependent on spectral density
of the reservoirs under consideration. For the Ohmic reservoirs at low
temperature, we observe that the state retains initial multipartite correlation
upto a characteristic time and then sharply decays to zero with a correlation
sudden death. We further investigate the dynamics of tripartite negativity and
$l_{1}$ norm of coherence in the W class Werner states, and show irreversible
degradation in these correlations.
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