Quantum recoil effects in finite-time disentanglement of two distinguishable atoms

Lastra, F.; Wallentowitz, S.; Orszag, Miguel; Hernandez, Maritza

doi:10.1088/0953-4075/42/6/065504

Cited by 10 publications

(18 citation statements)

References 32 publications

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“…These systems include among others, systems of continuous variables [11,12], atoms in cavities [7,[13][14][15], cavity fields [16,17], spin chains [18,19], and atoms in free space [20][21][22][23]. Also non-Markovian effects have been studied for the dynamics of bipartite entanglement [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…We will briefly review the arguments given in Ref. [23]: Given two identical two-level atoms, initially at rest and distinguishable by their differing positions, their distinguishability should be maintained at least during the atom's excited-state lifetime τ 0 = 2π/γ 0 ; γ 0 being the natural linewidth of the electronic transition. This condition requires that the quantum dispersion of the relative-position wave-packet be sufficiently weak, so that during τ 0 the rms spread be ∆r ≪r,…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of entanglement between two free atoms with quantized motion

Lastra¹,

Wallentowitz²

2010

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. The electronic entanglement between two free atoms initially at rest is obtained including the effects of photon recoil, for the case when quantum dispersion can be neglected during the atomic excited-state lifetime. Different from previous treatments using common or statistically independent reservoirs, a continuous transition between these limits is observed, that depends on the inter-atomic distance and degree of localization. The occurrence of entanglement sudden death and birth as predicted here deviates from the case where the interatomic distance is treated classically by a static value. Moreover, the creation of a dark state is predicted, which manifests itself by a stationary entanglement that even may be created from an initially separable state.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamics of entanglement between two free atoms with quantized motion

Lastra¹,

Wallentowitz²

2010

J. Phys. B: At. Mol. Opt. Phys.

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“…Here δ is a normalization constant and, for simplicity, we have assumed that the two Gaussian distributions have the same spread d, which is limited in d min ≤ d ≤ a. Here, d min is much smaller than the wavelength λ of the cavity field, but a zero spread is not permitted to avoid the atoms indistinguishable by quantum dispersion [29].…”

Section: Spatial Decoherence Of Two Atomic Wave Packetsmentioning

confidence: 99%

Quantum dynamics of spatial decoherence of two atoms in a ring cavity

2010

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We study the spatial decoherence dynamics for the relative position of two atoms in a singlemode ring cavity. We find that the spatial decoherence of the two atoms depends strongly on their relative position. Taking into account the spatial degrees of freedom, we investigate the entanglement dynamics of the internal states of the two atoms. It is shown that the entanglement decays to almost zero in a finite time, and the disentanglement time depends on the width of the wave packets describing the atomic spatial distribution.

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“…It is worth noting that the quite successful semi-classical theory (like in [3,43,44]) breaks down at low temperatures, where the de Broglie wavelength of the translational atomic motion is of the same order as the wavelength of the pump and probe fields. In this case, the atomic motion must be quantized (see [27,28,45], for example).…”

Section: Introduction and Motivationsmentioning

confidence: 99%

“…For comparison, the prior theoretical work [45] describes the evolution of two dipole-dipole interacting atoms in a vacuum with only one atom being initially excited; [36] describes two two-level atoms independently interacting with local thermal or squeezed reservoirs, this time taking into account the possibility of their initial simultaneous excitation, but neglecting dipole-dipole interactions. Works [34,35] follow the approximations of [32,33], just adding an additional state, corresponding to two simultaneously excited atoms, to the model.…”

Section: Introduction and Motivationsmentioning

confidence: 99%

Kinetics and Optical Properties of the Strongly Driven Gas Medium of Interacting Atoms

Sizhuk

Hemmer

2012

J Stat Phys

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This paper investigates stimulated emission and absorption near resonance for a driven system of interacting two-level atoms. Microscopic kinetic equations for the density matrix elements of N -atom states including atomic motion are built, taking into account atom-field and atom-atom interactions. Analytical solutions are given for the resulting macroscopic equations in different limits, for a system composed of a strong coherent "pump" field and a weak counter-propagating "probe" field. It was shown that the existence of a dipole-dipole (long-range) interaction between atoms separated by distance less than the pump wave-length can cause the formation of periodic polarization and population structures (gratings in time and space) in the pumped medium without a probe field. The magnitude of pump induced population grating can have a strong dependence on the relation between the pump field detuning and the polarization decay rate. The "interaction" between pump and probe induced polarization/population gratings through a dipole-dipole interaction mechanism causes the absorption line shape asymmetry. Under certain conditions, this asymmetry is revealed in increasing probe gain for the "red"-shifted (relative to pump) probe and suppressing the gain for the "blue"-shifted probe field when pump is "red"-shifted relative to the ensemble averaged resonant frequency. The theoretical results are consistent with experimental data for the probe gain or absorption as the function of frequency and the dependance of the gain on atomic density for sodium vapor when the pump laser is tuned near the D 2 line. Here the dependance of gain on particle density was explained in the terms of the long-range interaction between the atoms.

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Quantum recoil effects in finite-time disentanglement of two distinguishable atoms

Cited by 10 publications

References 32 publications

Dynamics of entanglement between two free atoms with quantized motion

Dynamics of entanglement between two free atoms with quantized motion

Quantum dynamics of spatial decoherence of two atoms in a ring cavity

Kinetics and Optical Properties of the Strongly Driven Gas Medium of Interacting Atoms

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