共查询到20条相似文献,搜索用时 15 毫秒
1.
We extend the concept of invariant eigen-operator to pseudo-invariant
eigen-operator case through analyzing the standard Jaynes-Cummings model. We
find the pseudo-invariant eigen-operator in terms of supersymmetric
generators of this model, which diretly leads to the energy-level gap for
Jaynes-Cummings Hamiltonian. 相似文献
2.
Pseudo-invariant Eigen-operator of a System About Three-Level Atom in Presence of a Kerr-Like Medium
GUI Wei-Jun 《理论物理通讯》2008,50(11):1093-1095
A system of a three-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium is proposed, and its pseudo-invariant eigen-operator (PIEO) and energy-level gap are presented under one-order approximation. 相似文献
3.
Pseudo-invariant Eigen-operator of a System About Three-Level Atom in
Presence of a Kerr-Like Medium
GUI Wei-Jun 《理论物理通讯》2008,50(5):1093-1095
A system of a three-level atom interacting
with single mode cavity field through multi-photon transition in
the presence of a Kerr-like medium is proposed, and its
pseudo-invariant eigen-operator (PIEO) and energy-level gap are
presented under one-order approximation. 相似文献
4.
In this paper, we find the invariant eigen-operators (IEOs) and the energy-level gap of a system with a two-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium. From this work, one can see that the IEO method in many cases is simpler and easier on obtaining the energy-level gap formula than the usual way. 相似文献
5.
In this paper, we apply the method of “invariant eigen-operator” to study the Hamiltonian of harmonic oscillator with couplings
and derive their invariant eigen-operator. We first discuss decoupling of coupled harmonic oscillators with the two different
quality and frequencies. And then, we propose an operator Hamiltonian to describe the linear lattice chain with Born–von Karman
boundary condition. The vibrating spectrum is thus obtained. The results show that, for the system of coupled harmonic oscillators
by coordinate coupling or momentum coupling, the invariant eigen operator
of system always has the form of
or
. 相似文献
6.
We begin with proposing a unitary operator responsible for diagonalizing the Hamiltonian with kinetic couplings in particle
physics to get a new form of Hamiltonian which has no coupling terms. By virtue of the invariant eigen-operator (IEO) method
we search for the invariant eigen-operators for the new Hamiltonian. In this way the energy-gap of the Hamiltonians can be
naturally obtained. This method may be generalized to N-mode Hamiltonian with kinetic couplings case.
Work supported by the National Natural Science Foundation of China under grant 10475056 and Foundation of President of Chinese
Academy of Science. 相似文献
7.
Based on the method of pseudo invariant eigenoperator (PIEO), a fully quantum mechanical scheme is investigated for the coupling between a rf SQUID qubit and an off-resonance quantized single-mode electromagnetic field in the strong coupling regime. In order to derive the systematic energy-level gap obtained by the pseudo-invariant operator of the quantum system, we give operation props for corresponding quantum manipulation. In comparison with the solution of stationary Schrödinger equation, the PIEO method could be quite concise and effective to obtain energy-level gap for the given system. 相似文献
8.
FAN Hong-Yi WU Hao 《理论物理通讯》2008,49(3):759-762
We show that the recently proposed invariant eigen-operator (IEO) method can be successfully applied to solving energy levels for SSH Hamiltonian describing Peierls phase transition. The electronic energy band of compound lattice is also studied by IEO method. 相似文献
9.
FAN Hong-Yi TANG Xu-Bing 《理论物理通讯》2006,46(4):603-606
Based on the invariant eigen-operator method (lEO) [Phys. Left. A 321 (2004) 75] we derive the exact energy gap for some Hamiltonians, which describe some polariton systems. The result shows that in some cases the IEO method, stemming from the Heisenberg approach, is more direct and convenient for deriving the energy-level gap formula than via the approach of solving the Schrodinger equation. 相似文献
10.
Based on supersymmetric quantum mechanics theory, we introduced a supersymmetric unitary transfor mation to diagonalize the Hamiltonian of non-degenerate two-mode two-photon Jaynes-Cummings models which include any forms of intensity-dependent coupling, field-dependent detuning, and field nonlinearity. Its eigenvalue, eigenstates,and time evolution of state vector are obtained. 相似文献
11.
FAN Hong-Yi TANG Xu-Bing 《理论物理通讯》2006,46(10)
Based on the invariant eigen-operator method (IEO) [Phys. Lett. A 321 (2004) 75] we derive the exact energy gap for some Hamiltonians, which describe some polariton systems. The result shows that in some cases the IEO method, stemming from the Heisenberg approach, is more direct and convenient for deriving the energy-level gap formula than via the approach of solving the Schr(o)dinger equation. 相似文献
12.
Based on supersymmetric quantum mechanics theory, we introduced
a supersymmetric unitary transformation to diagonalize the Hamiltonian
of non-degenerate two-mode two-photon Jaynes-Cummings models
which include any forms of intensity-dependent coupling, field-dependent
detuning, and field nonlinearity. Its
eigenvalue, eigenstates, and time evolution of state vector are
obtained. 相似文献
13.
14.
15.
16.
In this paper, the homotopy analysis method (HAM) is applied to solve generalized biological population models. The fractional derivatives are described by Caputo's sense. The method introduces a significant improvement in this field over existing techniques. Results obtained using the scheme presented here agree well with the analytical solutions and the numerical results presented in Ref. [6]. However, the fundamental solutions of these equations still exhibit
useful scaling properties that make them attractive for applications. 相似文献
17.
FAN Hong-Yi TANG Xu-Bing HU Hai-Peng 《理论物理通讯》2008,50(9):674-676
By virtue of the invariant eigen-operator method we search for the invariant eigen-operators for some Hamiltonians describing nonlinear processes in particle physics. In this way the energy-gap of the Hamiltonians can be naturally obtained. The characteristic polynomial theory has been fully employed in our derivation. 相似文献
18.
By virtue of the invariant eigen-operator method we search for the invariant
eigen-operators for some Hamiltonians describing nonlinear processes in
particle physics. In this way the energy-gap of the Hamiltonians can be
naturally obtained. The characteristic polynomial theory has been fully
employed in our derivation. 相似文献
19.
By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent
Jaynes-Cummings model. It is found that the geometric phases in a cycle case have nothing to do with the frequency of the
electromagnetic wave, the energy difference between two levels of the atom, and the coupling strength between the atom and
the light field. 相似文献
20.
QIN Xian-Ming YU Zbao-Xian JIAO Zhi-Yong XIE Bing-Hao 《理论物理通讯》2009,51(3):407-410
By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent A-type Jaynes Cummings model. We lind that, compared with the dynamical phases, the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. It is pointed out that the geometric phases in a cycle ease can be measured under the case of a stronger time-dependent photon field and a stronger coupling photon-atom system. On the other hand, the geometric phases of the model may be measured in the composition of cold atoms. 相似文献