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Qubit entanglement generation by Gaussian non-Markovian dynamics

Qubit entanglement generation by Gaussian non-Markovian dynamics
Qubit entanglement generation by Gaussian non-Markovian dynamics
We consider two qubits interacting with a common bosonic bath, but not directly between themselves. We derive the (bipartite) entanglement generation conditions for Gaussian non-Markovian dynamical maps and show that they are similar as in the Markovian regime. However, they depend on different physical coefficients and hold on different time scales. Indeed, for small times, in the non-Markovian regime entanglement is possibly generated on a shorter time scale (α t2 ) than in the Markovian regime (α t). Moreover, although the singular coupling limit of non-Markovian dynamics yields Markovian ones, we show that the same limit does not lead from non-Markovian entanglement generation conditions to Markovian ones. Also, entanglement generation conditions do not depend on the initial time for non-Markovian open dynamics resulting from couplings to bosonic Gaussian baths, while they may depend on time for open dynamics originated by couplings to classical, stochastic Gaussian environments.
1-17
Benatti, F.
1ca9c3fd-57af-4fae-a77a-3dd7e5c70e16
Ferialdi, L.
13262c48-1a1b-42a9-baad-5c38ad7f1d4f
Marcantoni, S.
a77887ad-d9bc-4737-b9ec-3e42029ead29
Benatti, F.
1ca9c3fd-57af-4fae-a77a-3dd7e5c70e16
Ferialdi, L.
13262c48-1a1b-42a9-baad-5c38ad7f1d4f
Marcantoni, S.
a77887ad-d9bc-4737-b9ec-3e42029ead29

Benatti, F., Ferialdi, L. and Marcantoni, S. (2018) Qubit entanglement generation by Gaussian non-Markovian dynamics. Journal of Physics A, 52 (3), 1-17. (doi:10.1088/1751-8121/aaea13).

Record type: Article

Abstract

We consider two qubits interacting with a common bosonic bath, but not directly between themselves. We derive the (bipartite) entanglement generation conditions for Gaussian non-Markovian dynamical maps and show that they are similar as in the Markovian regime. However, they depend on different physical coefficients and hold on different time scales. Indeed, for small times, in the non-Markovian regime entanglement is possibly generated on a shorter time scale (α t2 ) than in the Markovian regime (α t). Moreover, although the singular coupling limit of non-Markovian dynamics yields Markovian ones, we show that the same limit does not lead from non-Markovian entanglement generation conditions to Markovian ones. Also, entanglement generation conditions do not depend on the initial time for non-Markovian open dynamics resulting from couplings to bosonic Gaussian baths, while they may depend on time for open dynamics originated by couplings to classical, stochastic Gaussian environments.

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Qubit entanglement generation by Gaussian non-Markovian dynamics - Accepted Manuscript
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Accepted/In Press date: 22 October 2018
e-pub ahead of print date: 21 December 2018

Identifiers

Local EPrints ID: 427882
URI: https://eprints.soton.ac.uk/id/eprint/427882
PURE UUID: bc2f6682-8cd7-4299-981d-dd3810db5687

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Date deposited: 01 Feb 2019 17:30
Last modified: 13 Mar 2019 17:36

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