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arXiv:1203.1455 · Quantum Information and Computation

Macroscopic displaced thermal field as the entanglement catalyst

Shenggen Zheng

Published Nov 1, 2007• 0 citations
arXivHTMLPDF

Abstract

We show that entanglement of multiple atoms can arise via resonant interaction with a displaced thermal field with a macroscopic photon-number. The cavity field acts as the catalyst, which is disentangled with the atomic system after the operation. Remarkably, the entanglement speed does not decrease as the average photon-number of the mixed thermal state increases. The atoms may evolve to a highly entangled state even when the photon-number of the cavity mode approaches infinity.

DOI
10.26421/qic7.8-7

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We show that entanglement of multiple atoms can arise via resonant interaction with a displaced thermal field with a macroscopic photon-number. The cavity field acts as the catalyst, which is disentangled with the atomic system after the operation. Remarkably, the entanglement speed does not decrease as the average photon-number of the mixed thermal state increases. The atoms may evolve to a highly entangled state even when the photon-number of the cavity mode approaches infinity.
We show that a cavity field can evolve from an initial displaced mixed thermal state to a macroscopic superpositions of displaced thermal states via resonant interaction with a two-level atom. As a macroscopic system (meter) is really in a mixed state before coupling with the microscopic system at some temperature, our result is important for studying the quantum measurement problem and decoherence under real conditions. For the two-mode case, entanglement of displaced thermal states between the modes can be obtained.
We investigate entanglement reciprocation between atomic qubits and cavity fields initially in a thermal state. We show that the entanglement between the atomic qubits can be fully transferred to the mixed fields through displacement operation and resonant atom-cavity interaction. This is a rare example, in which quantum systems in mixed states can be used as the memory for entanglement. The entanglement can be retrieved by another atomic pair. Apart from fundamental interest, the results are useful for implementation of quantum networking with atom-field interface in the microwave regime.
We investigate entanglement reciprocation between atomic qubits and cavity fields initially in a thermal state. We show that the entanglement between the atomic qubits can be fully transferred to the mixed fields through displacement operation and resonant atom-cavity interaction. This is a rare example, in which quantum systems in mixed states can be used as the memory for entanglement. The entanglement can be retrieved by another atomic pair. Apart from fundamental interest, the results are useful for implementation of quantum networking with atom-field interface in the microwave regime.
Understanding the dynamic evolution of quantum systems have a key role in understanding and applicability of phenomena involved in computing and quantum information. In this presentation, we discuss the quantum dynamics of a system comprising two atoms of two levels microtoroidal coupled to a resonator in different ways. In a first arrangement atoms are neighbors enough so that the dipolar interaction between them cannot be neglected. In a second situation is the generation of entanglement in the bad ring resonator regime”, where one of the atoms is not resonant with the modes of the resonator nor interacts with another atom, it only works as a deformation of the ring resonator. We show that the entanglement between the two atoms is strongly dependent on the dipolar interaction between the atoms and we have found an enhancement of the entanglement correlated to the average number of thermal photons when the modes of resonator are prepared in a thermal states. We have observed that depending on the preparation of initial state may occur phenomenon of death rise tangling between atoms. Depending upon the intensity of the mean number of photons in the thermal field and the coupling between the atoms with the resonator is possible to generate maximum entanglement between atoms even in the regime of high temperature.
Concurrence was adopted to investigate the thermal entanglement produced by resonant multi-photon Jaynes-Cummings model with atomic motion. The results showed the presence of a critical temperature, above which thermal entanglement of atom and cavity field mode vanished. The critical temperature increased with the increase in coupling constant and the number of photons absorbed or emitted per atomic transition. The concurrence decreased with increasing temperature. For typical experimental data, the critical temperature was around the order of 10-5 K.
The entanglement between two identical two-level atoms successively passing the thermal cavity has been investigated taking into account the detuning. The case when atoms are initially prepared in the Bell types entangled atomic states has been considered. It has been shown that for vacuum state of the cavity the presence of detuning leads to decreasing of the entanglement amplitude oscillations. We have also derived that for thermal field the increasing of the mean photon number leads to decreasing of the entanglement, but the entanglement increases as the detuning increases. For thermal field and small detuning we have established that the effect of sudden death and birth of entanglement takes place and that for large detuning such effect vanishes.