Inseparability of light and matter

Khemmani, Supitch; Sa‐yakanit, V.; Strunz, Walter T.

doi:10.1016/j.physleta.2005.04.079

Cited by 12 publications

(7 citation statements)

References 17 publications

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“…To gain deeper understanding one surely has to investigate the total (sometimes thermal) state of the composite quantum system, which in fact has been done for a couple of model systems [12,[15][16][17][18][19]. Some of the authors find decoherence accompanied by system-reservoir entanglement, some of them report of certain conditions under which decoherence appears without.…”

Section: Introductionmentioning

confidence: 99%

“…Although there are methods to detect the formation of system-environment correlations at the level of reduced dynamics [14], a detailed analysis of the role of quantum correlations in decoherence phenomena lies beyond such an approach. To gain deeper understanding one surely has to investigate the total (sometimes thermal) state of the composite quantum system, which in fact has been done for a couple of model systems [12,[15][16][17][18][19]. Some of the authors find decoherence accompanied by system-reservoir entanglement, some of them report of certain conditions under which decoherence appears without.…”

Section: Introductionmentioning

confidence: 99%

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Decoherence and the nature of system-environment correlations

Pernice

Strunz

2011

Phys. Rev. A

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We investigate system-environment correlations based on the exact dynamics of a qubit and its environment in the framework of pure decoherence (phase damping). We focus on the relation of decoherence and the build-up of system-reservoir entanglement for an arbitrary (possibly mixed) initial qubit state. In the commonly employed regime where the qubit dynamics can be described by a Markov master equation of Lindblad type, we find that for almost all qubit initial states inside the Bloch sphere, decoherence is complete while the total state is still separable -no entanglement is involved. In general, both "separable" and "entangling" decoherence occurs, depending on temperature and initial qubit state. Moreover, we find situations where classical and quantum correlations periodically alternate as a function of time in the regime of low temperatures.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Decoherence and the nature of system-environment correlations

Pernice

Strunz

2011

Phys. Rev. A

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“…In particular, projecting the Fock space of the EMF mode onto a two-dimensional subspace results in a combined Hilbert space that essentially reduces to a two-qubit system whose entanglement properties are well understood [17][18][19][20][21][22]. Also, the positive partial transpose (PPT) criterion introduced by Peres [23] has been used to this aim [24][25][26][27][28]. We note, however, that neither the use of entropic inequalities (which are a corollary of the majorization criterion [29]) nor the projection of the system onto 2 × 2 subspaces leads to entanglement criteria that are stronger than the PPT one [30,31].…”

Section: Introductionmentioning

confidence: 99%

Bound entanglement in the Jaynes–Cummings model

Quesada¹,

Sanpera²

2013

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

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We study in detail entanglement properties of the Jaynes-Cummings model assuming a two-level atom (qubit) interacting with the first N levels of an electromagnetic field mode (qudit) in a cavity. In the Jaynes-Cummings model, the number operator is the conserved quantity that allows for the exact diagonalization of the Hamiltonian and thus we study states that commute with this conserved quantity and whose structure is preserved under the Jaynes-Cummings dynamics. Contrary to the common belief, we show that there are bound entangled states that satisfy the symmetries imposed by the conservation of the number of excitations when N > 3. Furthermore we show that the Jaynes-Cummings interaction can be used to generate bound-entanglement between the atom and the mode.

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“…the entangled atom field state in all time [17], the entanglement of the Jaynes-Cumming model (JCM) with the atom initially in a mixed state and field in a squeezed state [18], the entanglement of the JCM with the atom initially in mixed state and field in a coherent state [19], the entanglement of the JCM with the atom initially in mixed state and field in an arbitrary thermal state [20]. Some another investigation about entanglement of JCM is done in [21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Negativity as Entanglement Degree of a Non-Hermitian Model

2009

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We investigate non-Hermitian Hamiltonian which governs system includes twolevel atoms and electromagnetical field. Using the notion of negativity, we study the degree of entanglement of a two-level atom interacting with a quantized electromagnetical field, described by the non-Hermitian Hamiltonian (Saaidi in Phys. Scr. 77:0065002, 2008). With the help of numerical calculation for the case that the system state is pure, we show that the measurement of negativity of this system is nonzero and has a different functional with respect to negativity of the Jaynes-Cumming model (JCM).

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Inseparability of light and matter

Cited by 12 publications

References 17 publications

Decoherence and the nature of system-environment correlations

Decoherence and the nature of system-environment correlations

Bound entanglement in the Jaynes–Cummings model

Negativity as Entanglement Degree of a Non-Hermitian Model

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