Purity and squeezing exchange between coupled bosonic modes

Castro, A. S. M. de; Dodonov, V. V.

doi:10.1103/physreva.73.065801

Cited by 13 publications

(11 citation statements)

References 17 publications

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“…The chiral-conjugation operation γ 5 ψ (according to Ref. [18]) is followed by the changes of the signs of V s and m, but not of A 0 and E [6]. One sees that the charge-conjugation and the chiral-conjugation operations interchange the roles of the upper and lower components of the Dirac spinor.…”

Section: Scalar and Vector Potentials In The Dirac Equationmentioning

confidence: 98%

“…Here, σ 1 , σ 2 and σ 3 stand for the Pauli matrices. The charge-conjugation operation is accomplished by the transformation ψ c = σ 1 ψ * followed by A 0 → −A 0 , V s → V s and E → −E [6]. As a matter of fact, A 0 distinguishes fermions from antifermions but V s does not, and so the spectrum is symmetrical about E = 0 in the case of a pure scalar potential.…”

Section: Scalar and Vector Potentials In The Dirac Equationmentioning

confidence: 99%

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Scattering and bound states of fermions in a mixed vector–scalar smooth step potential

Castilho¹,

Castro²

2014

Annals of Physics

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The scattering of a fermion in the background of a smooth step potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling. Charge-conjugation and chiralconjugation transformations are discussed and it is shown that a finite set of intrinsically relativistic bound-state solutions appears as poles of the transmission amplitude. It is also shown that those bound solutions disappear asymptotically as one approaches the conditions for the realization of the so-called spin and pseudospin symmetries in a four-dimensional space-time.

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Section: Scalar and Vector Potentials In The Dirac Equationmentioning

confidence: 98%

Section: Scalar and Vector Potentials In The Dirac Equationmentioning

confidence: 99%

Scattering and bound states of fermions in a mixed vector–scalar smooth step potential

Castilho¹,

Castro²

2014

Annals of Physics

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show abstract

“…The chiral-conjugation operation ψ → γ 5 ψ (according to Ref. [20]) is followed by the changes of the signs of V s and m, but not of A 0 and E [19]. One sees that the charge-conjugation and the chiralconjugation operations interchange the roles of the upper and lower components of the Dirac spinor.…”

Section: Mixed Scalar-vector Interactionsmentioning

confidence: 99%

“…Here, σ 2 and σ 3 stand for the Pauli matrices. The charge-conjugation operation is accomplished by the transformation ψ → σ 1 ψ * followed by A 0 → −A 0 , V s → V s and E → −E [19]. The chiral-conjugation operation ψ → γ 5 ψ (according to Ref.…”

Section: Mixed Scalar-vector Interactionsmentioning

confidence: 99%

Fermions in a mixed vector-scalar double-step potential via continuous chiral transformation

Castilho

Castro

2016

Eur. Phys. J. Plus

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The behaviour of fermions in the background of a double-step potential is analyzed with a general mixing of scalar and vector couplings via continuous chiral-conjugation transformation. Provided the vector coupling does not exceed the scalar coupling, a Sturm-Liouville approaching for the double-step potential shows that the transmission coefficient exhibits oscillations and that a finite set of intrinsically relativistic boundstate solutions might appear as poles of the transmission amplitude in a strong coupling regime. An isolated bound-state solution resulting from coupled first-order equations might also come into sight. It is also shown that all those possible bound solutions disappear asymptotically as one approaches the conditions for the realization of the socalled spin and pseudospin symmetries in a four-dimensional space-time. Furthermore, we show that due to the additional mass acquired by the fermion from the scalar background the high localization of the fermion in an extreme relativistic regime does not violate the Heisenberg uncertainty principle.

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“…Dissipative dynamics of quantum systems have been investigated, both theoretically [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] and experimentally [31,32,33,34,35]. Understanding the factors which limit the visibility and also the time scales of quantum properties (QP) is of interest if they are to be used in the context of quantum computation or foundations of quantum theory, e.g.…”

Section: Introductionmentioning

confidence: 99%

Characteristic time and maximum mixedness: Single mode Gaussian states in dissipative channels

Souza

Nemes

2008

Physics Letters A

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Purity and squeezing exchange between coupled bosonic modes

Cited by 13 publications

References 17 publications

Scattering and bound states of fermions in a mixed vector–scalar smooth step potential

Scattering and bound states of fermions in a mixed vector–scalar smooth step potential

Fermions in a mixed vector-scalar double-step potential via continuous chiral transformation

Characteristic time and maximum mixedness: Single mode Gaussian states in dissipative channels

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