Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0908.3555 · Journal of Physics B Atomic Molecular and Optical Physics

Generation of Werner-like stationary states of two qubits in a thermal reservoir

Lech Jakóbczyk

Published Dec 8, 2009• 8 citations
arXivHTMLPDF

Abstract

The dynamics of entanglement between two-level atoms immersed in a common photon reservoir at finite temperature is investigated. It is shown that in the regime of strong correlations there are nontrivial asymptotic states which can be interpreted in terms of thermal generalization of Werner states.
DOI
10.1088/0953-4075/43/1/015502

Related papers

Asymptotic entanglement of two atoms in a squeezed light field

Lech Jakóbczyk, Robert Olkiewicz, Mariusz Żaba

The dynamics of entanglement between two-level atoms interacting with a common squeezed reservoir is investigated. It is shown that for spatially separated atoms there is a unique asymptotic state depending on the distance between the atoms and the atom-photons detuning. In the regime of strong correlations there is a one-parameter family of asymptotic steady states depending on the initial conditions. In contrast to the thermal reservoir, both types of asymptotic states can be entangled. We calculate the amount of entanglement in the system in terms of concurrence.

arXiv:1104.5442•Physical Review A•Jun 15, 2011•3 citations

Sudden birth and death of entanglement of two atoms in a finite temperature reservoir

R. Tanaś, Z. Ficek

We discuss the evolution of entanglement for a system of two two-level atoms interacting with a common reservoir at finite temperature. The Markovian master equation is used to describe the evolution of entanglement measured by concurrence. The phenomena of sudden birth and sudden death of entanglement are discussed. It is shown that entanglement sudden death is a standard feature when the reservoir has finite temperature. Entanglement sudden birth, which is the result of the collective behaviour of atoms, appears only for a sufficiently small mean number of photons of the reservoir (sufficiently low temperatures), and it gradually diminishes as the temperature increases. The results are illustrated for the system prepared in the Werner state.

Physica Scripta•Sep 1, 2010•22 citations

ENHANCING STATIONARY ENTANGLEMENT OF TWO QUBITS OR QUTRITS BY COLLECTIVELY INTERACTING WITH A COMMON THERMAL RESERVOIR

Shangbin Li, Jing‐Bo Xu

The stationary entanglement and Bell violation of two qubits collectively interacting with a common thermal reservoir is investigated, and the analytical relations among average thermal photon number of the reservoir, entanglement and Bell violation of two qubits are given in detail. The initial fraction of Bell singlet state determines whether the common thermal reservoir can enhance the entanglement of two qubits or not in this case. Moreover, the stationary maximally entangled mixed state can emerge in the collective decay of two qubits in a thermal reservoir at zero-temperature only if the fraction of Bell singlet state in the initial state is not smaller than 2/3. Furthermore, it is shown that the collective decay can induce the entanglement of two qutrits initially in the maximally mixed state, and induce distillable entanglement from bound entangled states.

International Journal of Quantum Information•Dec 1, 2008•1 citation

Generation of quantum correlations for two qubits through a common reservoir

M. Angeles Gallego, Raúl Coto, Miguel Orszag

Recently, besides entanglement, an entropy-based measurement called quantum discord has been used to describe the quantum correlations in separable and non-separable states. Here we compare the dynamics of entanglement with that of quantum discord, in the case of two qubits in a common thermal or squeezed reservoir. We focus on the generation of quantum correlations, starting from an uncorrelated system.

Physica Scripta•Feb 1, 2012•5 citations

Rise and fall of entanglement between two qubits in a non-Markovian bath

Sayan Roy, Christian Otto, Raphaël Menu +1 more

We analyze the dynamics of quantum correlations between two qubits coupled to a linear chain of oscillators. The chain mediates interactions between the qubits and acts as a non-Markovian reservoir. The model is amenable to an analytical solution when the initial state of the chain is Gaussian. We study the dynamics of the qubits' concurrence starting from a separable state and assuming that the chain spectrum is gapped and the chain is initially in a thermal state. We identify three relevant regimes that depend on the strength of the qubit-chain coupling in relation to the spectral gap. These are (i) the weak-coupling regime, where the qubits are entangled at the asymptotics, (ii) the strong-coupling regime, where the concurrence can exhibit collapses followed by revivals with exponentially attenuated amplitude, and (iii) the thermal damping regime, where the concurrence rapidly vanishes due to the chain's thermal excitations. In all cases, if entanglement is generated, this occurs after a finite time has elapsed. This time scale depends exponentially on the qubits' distance and is determined by the spectral properties of the chain. Entanglement irreversible decay, on the other hand, is due to the dissipative effect induced by the coupling with the chain and is controlled by the coupling strength between the chain and qubits. This study unravels the basic mechanisms leading to entanglement in a non-Markovian bath and allows one to identify the key resources for realizing quantum coherent dynamics of open systems.

arXiv:2303.13301•Physical Review A•Sep 7, 2023•7 citations

Dynamics of quantum correlations in two 2-level atoms coupled to thermal reservoirs

Zakaria Dahbi, Mostafa Mansour, Abderrahim El Allati

Abstract In this paper, we examine the dynamics of quantum correlations in two noninteractive two-level atoms coupled to two separate identical thermal reservoirs. The two atoms are initially produced in a Gisin state, which is a blend of a maximally entangled two-qubit state and a separable mixed state. Quantum entanglement is measured by logarithmic negativity, while the nonclassical correlations are characterized by trace distance discord and local quantum uncertainty. Using the mean photon number of reservoirs and spontaneous emission rates of atoms as inputs, we explore how these quantum resources behave. Consequently, we demonstrate that the dynamics of quantum entanglement and quantum correlations depend upon the parameters driving the system. Significantly, we further demonstrate that specific parameters may be tweaked to preserve the quantum resources in the system. The results give a full grasp of the quantum features of such a two-level atomic system, showing capabilities to construct quantum technology.

Physica Scripta•Nov 24, 2022•10 citations
The dynamics of entanglement between two-level atoms interacting with a common squeezed reservoir is investigated. It is shown that for spatially separated atoms there is a unique asymptotic state depending on the distance between the atoms and the atom-photons detuning. In the regime of strong correlations there is a one-parameter family of asymptotic steady states depending on the initial conditions. In contrast to the thermal reservoir, both types of asymptotic states can be entangled. We calculate the amount of entanglement in the system in terms of concurrence.
We discuss the evolution of entanglement for a system of two two-level atoms interacting with a common reservoir at finite temperature. The Markovian master equation is used to describe the evolution of entanglement measured by concurrence. The phenomena of sudden birth and sudden death of entanglement are discussed. It is shown that entanglement sudden death is a standard feature when the reservoir has finite temperature. Entanglement sudden birth, which is the result of the collective behaviour of atoms, appears only for a sufficiently small mean number of photons of the reservoir (sufficiently low temperatures), and it gradually diminishes as the temperature increases. The results are illustrated for the system prepared in the Werner state.
The stationary entanglement and Bell violation of two qubits collectively interacting with a common thermal reservoir is investigated, and the analytical relations among average thermal photon number of the reservoir, entanglement and Bell violation of two qubits are given in detail. The initial fraction of Bell singlet state determines whether the common thermal reservoir can enhance the entanglement of two qubits or not in this case. Moreover, the stationary maximally entangled mixed state can emerge in the collective decay of two qubits in a thermal reservoir at zero-temperature only if the fraction of Bell singlet state in the initial state is not smaller than 2/3. Furthermore, it is shown that the collective decay can induce the entanglement of two qutrits initially in the maximally mixed state, and induce distillable entanglement from bound entangled states.
We analyze the dynamics of quantum correlations between two qubits coupled to a linear chain of oscillators. The chain mediates interactions between the qubits and acts as a non-Markovian reservoir. The model is amenable to an analytical solution when the initial state of the chain is Gaussian. We study the dynamics of the qubits' concurrence starting from a separable state and assuming that the chain spectrum is gapped and the chain is initially in a thermal state. We identify three relevant regimes that depend on the strength of the qubit-chain coupling in relation to the spectral gap. These are (i) the weak-coupling regime, where the qubits are entangled at the asymptotics, (ii) the strong-coupling regime, where the concurrence can exhibit collapses followed by revivals with exponentially attenuated amplitude, and (iii) the thermal damping regime, where the concurrence rapidly vanishes due to the chain's thermal excitations. In all cases, if entanglement is generated, this occurs after a finite time has elapsed. This time scale depends exponentially on the qubits' distance and is determined by the spectral properties of the chain. Entanglement irreversible decay, on the other hand, is due to the dissipative effect induced by the coupling with the chain and is controlled by the coupling strength between the chain and qubits. This study unravels the basic mechanisms leading to entanglement in a non-Markovian bath and allows one to identify the key resources for realizing quantum coherent dynamics of open systems.
Abstract In this paper, we examine the dynamics of quantum correlations in two noninteractive two-level atoms coupled to two separate identical thermal reservoirs. The two atoms are initially produced in a Gisin state, which is a blend of a maximally entangled two-qubit state and a separable mixed state. Quantum entanglement is measured by logarithmic negativity, while the nonclassical correlations are characterized by trace distance discord and local quantum uncertainty. Using the mean photon number of reservoirs and spontaneous emission rates of atoms as inputs, we explore how these quantum resources behave. Consequently, we demonstrate that the dynamics of quantum entanglement and quantum correlations depend upon the parameters driving the system. Significantly, we further demonstrate that specific parameters may be tweaked to preserve the quantum resources in the system. The results give a full grasp of the quantum features of such a two-level atomic system, showing capabilities to construct quantum technology.