Upper Bounds on the Charge Susceptibility of Many-Electron Systems Coupled to the Quantized Radiation Field

Following previous strategies by Stoler et al. which introduced the binomial state and Baseia et al. which introduced the intermediate number phase state, we introduce a new intermediate state of the quantized radiation field, which reduces to the number state and squeezed state in two different limits. This interpolating state exhibits nonclassical effects as sub-Poissonian, antibunching and squeezing, obtained from the corresponding expressions as function of the interpolating parameters.

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Dynamics of two atoms in a quantized radiation field

Optics Communications ◽

10.1016/0030-4018(85)90295-0 ◽

1985 ◽

Vol 54 (4) ◽

pp. 222-224 ◽

Cited By ~ 57

Author(s):

Z. Deng

Keyword(s):

Radiation Field ◽

Quantized Radiation Field

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LOCALIZATION OF THE NUMBER OF PHOTONS OF GROUND STATES IN NONRELATIVISTIC QED

Reviews in Mathematical Physics ◽

10.1142/s0129055x03001667 ◽

2003 ◽

Vol 15 (03) ◽

pp. 271-312 ◽

Cited By ~ 7

Author(s):

FUMIO HIROSHIMA

Keyword(s):

Radiation Field ◽

Ground State ◽

Fock Space ◽

Adjoint Operator ◽

Ground States ◽

Electron System ◽

Number Operator ◽

Position Variable ◽

Boson Fock Space ◽

Quantized Radiation Field

One electron system minimally coupled to a quantized radiation field is considered. It is assumed that the quantized radiation field is massless, and no infrared cutoff is imposed. The Hamiltonian, H, of this system is defined as a self-adjoint operator acting on L2 (ℝ3) ⊗ ℱ ≅ L2 (ℝ3; ℱ), where ℱ is the Boson Fock space over L2 (ℝ3 × {1, 2}). It is shown that the ground state, ψg, of H belongs to [Formula: see text], where N denotes the number operator of ℱ. Moreover, it is shown that for almost every electron position variable x ∈ ℝ3 and for arbitrary k ≥ 0, ‖(1 ⊗ Nk/2) ψg (x)‖ℱ ≤ Dk e-δ|x|m+1 with some constants m ≥ 0, Dk > 0, and δ > 0 independent of k. In particular [Formula: see text] for 0 < β < δ/2 is obtained.

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su(2) AND su(1,1) DISPLACED NUMBER STATES AND THEIR NONCLASSICAL PROPERTIES

Modern Physics Letters B ◽

10.1142/s0217984900001300 ◽

2000 ◽

Vol 14 (30) ◽

pp. 1099-1108 ◽

Cited By ~ 2

Author(s):

HONGCHEN FU ◽

XIAOGUANG WANG ◽

CHONG LI ◽

JIANGONG WANG

Keyword(s):

Radiation Field ◽

Photon Number ◽

Density Dependent ◽

Nonclassical Properties ◽

Number Distribution ◽

Intermediate States ◽

Quantized Radiation Field ◽

Photon Number Distribution ◽

Dependent Interaction

We study su(2) and su(1,1) displaced number states. These states are eigenstates of density-dependent interaction systems of quantized radiation field with classical current. These states are intermediate states interpolating between number and displaced number states. Their photon number distribution, statistical and squeezing properties are studied in detail. It shows that these states exhibit strong nonclassical properties.

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