JAYNES-CUMMINGS SPECTRA BY LINEARIZATION WITH CLIFFORD VARIABLES

1992 ◽  
Vol 06 (24) ◽  
pp. 1519-1524
Author(s):  
MARIA LUISA RASTELLO
Keyword(s):  
Energy Spectrum ◽  
Photon Number ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Level Atom ◽  
Rotating Wave ◽  
Quantized Field

The effect of rotating-wave and counter-rotating terms in the energy spectrum of a single two-level atom interacting with a quantized field is investigated within a fermionic linearization scheme involving Clifford variables. After reproducing the Jaynes-Cummings results in the rotating-wave approximation, the counter-rotating terms are shown to determine an energy spectrum sensitive to low photon-number conditions.

Solution of two-qubit Rabi model with extended generalized rotating-wave approximation

2021 ◽  
pp. 2150213
Author(s):  
Zhanyuan Yan ◽  
Peihua Qu ◽  
BingBing Xu ◽  
Shihui Zhang ◽  
Jinying Ma
Keyword(s):  
Order Approximation ◽  
Photon Number ◽  
Energy Spectra ◽  
Hamiltonian Matrix ◽  
Diagonal Form ◽  
Coupling Region ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Rabi Model ◽  
Rotating Wave

The generalized rotating-wave approximation (GRWA) method is extended to the two-qubit quantum Rabi model. In the first-order approximation (one photon exchange), the Hamiltonian matrix in photon number space is simplified by introducing two variational parameters. However, the Hamiltonian matrix is not a diagonalizable matrix yet. Furthermore, by presenting a constraint condition on coupling strength and atomic transition frequency, the Hamiltonian matrix is simplified and an effective solvable Hamiltonian with block diagonal form is obtained. In the even and odd parity space, the energy spectra and eigenstates of the two-qubit quantum Rabi model are achieved analytically. Most of the energy spectra, especially the lower energy levels, agree well with the numerical exact results in ultra-strong coupling region, and the ground state wave function can gives a fairly accurate result of mean photon number.

Quantum Properties of the Binomial State Field Interacting With a V Type Three-level Atom Without Rotating Wave Approximation

2011 ◽  
Vol 40 (6) ◽  
pp. 937-943
Author(s):  
王旭文 WANG Xu-Wen ◽  
任学藻 REN Xue-Zao ◽  
夏建平 XIA Jian-Ping ◽  
丛红璐 CONG Hong-Lu
Keyword(s):  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Quantum Properties ◽  
Level Atom ◽  
Rotating Wave ◽  
Binomial State

TIME EVOLUTION OF THE PHASE OPERATOR IN INTERACTING FOCK SPACE

2004 ◽  
Vol 18 (16) ◽  
pp. 2287-2305
Author(s):  
P. K. DAS
Keyword(s):  
Electromagnetic Field ◽  
Time Evolution ◽  
Fock Space ◽  
Single Mode ◽  
Phase Operator ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Level Atom ◽  
Rotating Wave ◽  
Interacting Fock Space

Here we discuss interaction of a single two-level atom with a single mode of interacting electromagnetic field in the Jaynes–Cummings model with the rotating wave approximation.

scholarly journals Study of Squeezing Properties in a Two-level System

1995 ◽  
Vol 48 (6) ◽  
pp. 907 ◽  
Author(s):  
Rui-hua Xie ◽  
Gong-ou Xu ◽  
Dun-huan Liu
Keyword(s):  
Single Mode ◽  
Nonlinear Interactions ◽  
Level System ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Mode Field ◽  
Level Atom ◽  
Rotating Wave ◽  
Arbitrary Intensity ◽  
Intensity Dependent Coupling

We have studied the squeezing properties of a field and atom in a two-level system. The influence of nonlinear interactions (Le. the arbitrary intensity-dependent coupling of a single-mode field to a single two-level atom, the nonlinear interaction of the field with a nonlinear Kerr-like medium) on the squeezing is discussed in detail in the rotating wave approximation (RWA). We show numerically that the effect of the virtual-photon field suppresses dipole squeezing predicted in the RWA and leads to an increased squeeze revival period; the suppressed squeezing can be revived due to the presence of the nonlinear Kerr-like medium.

Quantum Entanglement of the Coherent State Field Interacting with a Λ Type Three-level Atom Without Rotating Wave Approximation

2010 ◽  
Vol 39 (9) ◽  
pp. 1621-1626
Author(s):  
夏建平 XIA Jian-ping ◽  
任学藻 REN Xue-zao ◽  
丛红璐 CONG Hong-lu ◽  
姜道来 JIANG Dao-lai ◽  
廖旭 LIAO Xu
Keyword(s):  
Coherent State ◽  
Quantum Entanglement ◽  
Rotating Wave Approximation ◽  
Wave Approximation ◽  
Level Atom ◽  
Rotating Wave
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