© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Acta Physica Sinica

Phonon effect on the quantum phase of a radiation field interacting with a tunneling-coupled quantum-dot molecule

Qingchun Zhou, Di Zun-Yan

Published Jan 1, 2013• 1 citation

Abstract

A full quantum theory is adopted to derive the differential equations satisfied by the state of a system that is composed of an electron tunneling-coupled quantum-dot molecule interacting with a single-mode radiation field. The phase of the field is calculated by the Pegg-Barnett quantum phase formalism under the initial condition of a coherent-state field and the tunneling excited state or ground state for the quantum-dot molecule. Phase distribution and fluctuation of the field are analyzed, the influence of interaction between phonons and the quantum-dot molecule on the Pegg-Barnett quantum phase is investigated, and the phase distribution is compared with the Husimi phase distribution of the field. Results indicate that temperature can have a marked impact on the phase evolution. The existence of phonons suppresses the field phase distribution and fluctuation in the case when the quantum dot molecule is initially in the tunneling-excited state, while it enhances the diffusion and fluctuation of the field phase in the case when the quantum dot molecule is initially in the ground state. The Husimi phase distribution and the Pegg-Barnett phase distribution agree with each other fairly well in our study.

DOI: 10.7498/aps.62.134206

Related papers

Field Squeezing in a Quantum-Dot Molecule Jaynes-Cummings Model

Xu Chu, Xiao-Dong Ma, Ying Wang +2 more

We investigate the field squeezing in a system composed of an initial coherent field interacting with two quantum dots coupled by electron tunneling. An approximate quantum-dot molecule Jaynes-Cummings model describing the system is given, and the effects of physical quantities, such as the temperature, phonon-electron interaction, mean photon number, field detuning, and tunneling-level detuning, are discussed in detail.

Advances in Optics•Jul 3, 2014•0 citations

Phase properties of the radiation fields in Raman process

Peng Zhou

The general evolution of the interaction of two radiation fields with an effective two-level atom via the Raman-type transitions is presented. Using the Pegg-Barnett phase theory, the joint phase probability distribution of the two field modes, phase average values and phase fluctuations are studied in detail. Also, the effect of the presence of a field on the phase properties of the other mode is examined.

Acta Physica Sinica (Overseas Edition)•Jun 1, 1993•3 citations

Phonon impacts on entangled photon pair generation from the biexciton cascade in a quantum dot: phonon coherent state representation

M. Bagheri Harouni

A full quantum microscopic theory is developed to analyze a biexciton radiative cascade coupled to bulk acoustic phonons in a quantum dot. By considering the phonon sub-system in coherent state representation a new approach is proposed for investigating the phonon effects. Via this approach it is possible to obtain an exact analytical result for the phonon kernel in this system. This approach is introduced in the context of an example: the process of generating polarization-entangled photon pairs from the biexciton cascade in a quantum dot. We calculate the exact density matrix (using quantum state tomography) of photons and their concurrence. We show that the exchange interaction and temperature have remarkable effects on the degree of entanglement of the emitted photons. The approach introduced provides an exact analytical result for finite discrete electron states interacting with phonons.

Laser Physics•Sep 3, 2014•3 citations

Phase properties in the model of two coupling two-level atoms interacting with squeezed coherent light-field

Tao Xiang-yang

The phase properties in the system of the coupling two-level atoms interacting with squeezed coherent-state light-field is studied from the point of the Pegg-Barnett phase theory. The phase probability distribution and the phase fluctuation are investigated. Meanwhile, the influence of the field amplitude, the compressed parameter, and the coupling coefficient between atoms on the phase properties is also discussed. The results show that the phase probability distribution presents three-peak Gaussian configuration. The maximum of the phase probability distribution lies at the point of the zero phase arid the phase fluctuation is small, while at other place the value of the phase probability distribution is relatively small and vibrates easily. At the same time, because of the influence of light-field squeezing effect, the phase probability distribution is different from that of coherent-state field.

Chinese Journal of Quantum Electronics•Jan 1, 2005•0 citations

Phase Probability Distribution of Two Coupling Atoms Interacting with a Coherent Light Field in Kerr Medium

Qin Guo

The phase probability distribution of two coupling atoms interacting with a coherent light field in Kerr medium is studied by using the Pegg-Barnett theory. The influence of the coupling coefficient g between atoms, the coupling coefficient λ of atom and field ,the mean photon number of initial field on the phase probability distribution function in the system with and without Kerr medium is discussed respectively .The evolution of the phase probability distribution with time is also discussed .

Journal of Jiangxi Normal University•Jan 1, 2005•0 citations

Phase fluctuations in the Jaynes-Cummings model with and without the rotating-wave approximation

Jin-sheng Peng, Gao‐xiang Li

In this paper, we have investigated the time evolution of the phase operator of the radiation field in the Jaynes-Cummings model with and without the rotating-wave approximation, making use of the phase formalism of Barnett and Pegg [J. Mod. Opt. 36, 7 (1989); Phys. Rev. A 39, 1665 (1989)]. We verify by an analytical method that the atomic Rabi oscillation leads to phase dissipation of the radiation field, and also that the effect of the virtual-photon field can exhibit quantum fluctuations in the atom-field-coupling system and lead to a frequency shift of the radiation field.

Physical Review A•Mar 1, 1992•59 citations

A full quantum theory is adopted to derive the differential equations satisfied by the state of a system that is composed of an electron tunneling-coupled quantum-dot molecule interacting with a single-mode radiation field. The phase of the field is calculated by the Pegg-Barnett quantum phase formalism under the initial condition of a coherent-state field and the tunneling excited state or ground state for the quantum-dot molecule. Phase distribution and fluctuation of the field are analyzed, the influence of interaction between phonons and the quantum-dot molecule on the Pegg-Barnett quantum phase is investigated, and the phase distribution is compared with the Husimi phase distribution of the field. Results indicate that temperature can have a marked impact on the phase evolution. The existence of phonons suppresses the field phase distribution and fluctuation in the case when the quantum dot molecule is initially in the tunneling-excited state, while it enhances the diffusion and fluctuation of the field phase in the case when the quantum dot molecule is initially in the ground state. The Husimi phase distribution and the Pegg-Barnett phase distribution agree with each other fairly well in our study.

A full quantum microscopic theory is developed to analyze a biexciton radiative cascade coupled to bulk acoustic phonons in a quantum dot. By considering the phonon sub-system in coherent state representation a new approach is proposed for investigating the phonon effects. Via this approach it is possible to obtain an exact analytical result for the phonon kernel in this system. This approach is introduced in the context of an example: the process of generating polarization-entangled photon pairs from the biexciton cascade in a quantum dot. We calculate the exact density matrix (using quantum state tomography) of photons and their concurrence. We show that the exchange interaction and temperature have remarkable effects on the degree of entanglement of the emitted photons. The approach introduced provides an exact analytical result for finite discrete electron states interacting with phonons.

The phase properties in the system of the coupling two-level atoms interacting with squeezed coherent-state light-field is studied from the point of the Pegg-Barnett phase theory. The phase probability distribution and the phase fluctuation are investigated. Meanwhile, the influence of the field amplitude, the compressed parameter, and the coupling coefficient between atoms on the phase properties is also discussed. The results show that the phase probability distribution presents three-peak Gaussian configuration. The maximum of the phase probability distribution lies at the point of the zero phase arid the phase fluctuation is small, while at other place the value of the phase probability distribution is relatively small and vibrates easily. At the same time, because of the influence of light-field squeezing effect, the phase probability distribution is different from that of coherent-state field.

The phase probability distribution of two coupling atoms interacting with a coherent light field in Kerr medium is studied by using the Pegg-Barnett theory. The influence of the coupling coefficient g between atoms, the coupling coefficient λ of atom and field ,the mean photon number of initial field on the phase probability distribution function in the system with and without Kerr medium is discussed respectively .The evolution of the phase probability distribution with time is also discussed .

In this paper, we have investigated the time evolution of the phase operator of the radiation field in the Jaynes-Cummings model with and without the rotating-wave approximation, making use of the phase formalism of Barnett and Pegg [J. Mod. Opt. 36, 7 (1989); Phys. Rev. A 39, 1665 (1989)]. We verify by an analytical method that the atomic Rabi oscillation leads to phase dissipation of the radiation field, and also that the effect of the virtual-photon field can exhibit quantum fluctuations in the atom-field-coupling system and lead to a frequency shift of the radiation field.