Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Ученые записки Казанского университета. Серия Физико-математические науки

Особенности диссипативной динамики λ-атома под действием квантованного поля в сжатом состоянии

Гельман Александр Иосифович, Миронов Вячеслав Александрович

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The dissipative dynamics of the three-level $\Lambda$-atom driven by a quantized electromagnetic field under the electromagnetically induced transparency (EIT) conditions is investigated both analytically by the Heisenberg-Langevin method and numerically using the quantum Monte Carlo wave function method (QMC method). The impact of the squeezing level of quantized light on the atomic system parameters, which determine the relaxation processes and noise in EIT transparency window, is considered in detail. It is shown that under these conditions quantum properties of light (squeezing) can be transferred to an atom. The work also considers the problem of the propagation of quantum field in squeezed coherent state in the medium of atoms and analyzes the dependence of squeezing level of light at the medium output on the parameters at the input and properties of the medium. The application of the QMC method to numerical simulation of the propagation problem is discussed in the light of the recent experiments on the propagation of squeezed vacuum in the medium under examination.

Related papers

Noise suppression in an atomic system under the action of a field in a squeezed coherent state

A. I. Gelman, V. A. Mironov

The interaction of a quantized electromagnetic field in a squeezed coherent state with a three-level Λ-atom is studied numerically by the quantum Monte Carlo method and analytically by the Heisenberg-Langevin method in the regime of electromagnetically induced transparency (EIT). The possibility of noise suppression in the atomic system through the quantum properties of squeezed light is considered in detail; the characteristics of the atomic system responsible for the relaxation processes and noise in the EIT band have been found. Further applications of the Monte Carlo method and the developed numerical code to the study of more complex systems are discussed.

Journal of Experimental and Theoretical Physics•Apr 1, 2010•1 citation

Noise suppression in three-level atomic system driven by quantized field

A. Gelman, V. Mironov

Numerically by the Monte-Carlo wave function (MCWF) method and analytically by the Heisenberg-Langevin method the interaction of three-level atom with quantized electromagnetic field is investigated in the conditions of electromagnetically induced transparency (EIT) conditions. A possibility of noise suppression in atomic system by means of quantum features of squeezed light is examined in detail. The characteristics of atomic system responsible for relaxation processes and noise in EIT are found.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 23, 2009•0 citations

Atom and field squeezed output of three-level atom laser surrounded by a Kerr medium in the electromagnetically induced transparency regime

Ebrahim Ghasemian, Mohammad Kazem Tavassoly

In this paper, we investigate the squeezing properties of the output of an atom laser which consists of an ensemble of three-level atoms in Bose–Einstein condensate state interacting with two quantized and classical laser fields in the presence of a Kerr medium. We represent the Hamiltonian of the system under an electromagnetically induced transparency regime and using the adiabatical elimination process, in terms of angular momentum operators, and then deduce the corresponding analytical state vector with the help of the Dicke model. We give our attention to the evaluation of atomic and field squeezings via numerical calculations. The results show that nonlinear sources in the system, i.e., “interatom collisions” and “Kerr medium,” lead to squeezing of atoms and photons. In this respect, the squeezing values can be controlled by adjusting the strength of interatom collisions, the Kerr medium, as well as other involved parameters in the considered model. Also, the collapse-revival phenomenon as a pure quantum feature can be observed in the behavior of atomic squeezing, while only irregular oscillations appeared in the field squeezing.

Journal of the Optical Society of America B•Dec 8, 2017•10 citations

Propagation of small fluctuations in electromagnetically induced transparency: Influence of Doppler width

Pablo Barberis-Blostein, Marc Bienert

The propagation of a pair of quantized fields inside a medium of three-level atoms in the $\ensuremath{\Lambda}$ configuration is analyzed. We calculate the stationary quadrature noise spectrum of the field after propagating through the medium in the case where the field has a general (but small) noise spectrum and the atoms are in a coherent population trapping state and show electromagnetically induced transparency. Although the mean values of the field remain unaltered as the field propagates, there is an oscillatory interchange of noise properties between the probe and pump fields. Also, as the field propagates, there is an oscillatory creation and annihilation of correlations between the probe and pump quadratures. We further study the field propagation of squeezed states when there is two-photon resonance, but the field has a detuning $\ensuremath{\delta}$ from atomic resonance. We show that the field propagation is very sensitive to $\ensuremath{\delta}$. The propagation in this case can be explained as a combination of a frequency-dependent rotation of maximum squeezed quadrature with an interchange of noise properties between pump and probe fields. It is also shown that the effect of the Doppler width in a squeezed state propagation is considerable.

arXiv:0912.0753•Physical Review A•Jun 16, 2009•8 citations

Opacity of Electromagnetically Induced Transparency for Quantum Fluctuations

Pablo Barberis-Blostein, Marc Bienert

We analyze the propagation of a pair of quantized fields inside a medium of three-level atoms in a Lambda configuration. We calculate the stationary quadrature noise spectrum of the field, in the case where the probe field is in a squeezed state and the atoms show electromagnetically induced transparency. We find an oscillatory transfer of the initial quantum properties between the probe and pump fields which is most strongly pronounced when both fields have comparable intensities. This implies that the quantum state measured after propagation can be completely different from the initial state, even though the mean values of the field are unaltered.

arXiv:quant-ph/0609103•Physical Review Letters•Jan 18, 2007•25 citations

Slow and stored light with atom-based squeezed light

G. Romanov, Travis Horrom, Eugeniy E. Mikhailov +1 more

In this manuscript we present calculations that consider the propagation of a squeezed vacuum signal field through a resonant atomic medium under electromagnetically induced transparency (EIT). We show that squeezing is degraded due to four-wave mixing processes at high optical depth of the atomic medium. We also present some preliminary results for degenerate Zeeman EIT resonances.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 12, 2012•2 citations
The dissipative dynamics of the three-level Λ\LambdaΛ-atom driven by a quantized electromagnetic field under the electromagnetically induced transparency (EIT) conditions is investigated both analytically by the Heisenberg-Langevin method and numerically using the quantum Monte Carlo wave function method (QMC method). The impact of the squeezing level of quantized light on the atomic system parameters, which determine the relaxation processes and noise in EIT transparency window, is considered in detail. It is shown that under these conditions quantum properties of light (squeezing) can be transferred to an atom. The work also considers the problem of the propagation of quantum field in squeezed coherent state in the medium of atoms and analyzes the dependence of squeezing level of light at the medium output on the parameters at the input and properties of the medium. The application of the QMC method to numerical simulation of the propagation problem is discussed in the light of the recent experiments on the propagation of squeezed vacuum in the medium under examination.
The interaction of a quantized electromagnetic field in a squeezed coherent state with a three-level Λ-atom is studied numerically by the quantum Monte Carlo method and analytically by the Heisenberg-Langevin method in the regime of electromagnetically induced transparency (EIT). The possibility of noise suppression in the atomic system through the quantum properties of squeezed light is considered in detail; the characteristics of the atomic system responsible for the relaxation processes and noise in the EIT band have been found. Further applications of the Monte Carlo method and the developed numerical code to the study of more complex systems are discussed.
Numerically by the Monte-Carlo wave function (MCWF) method and analytically by the Heisenberg-Langevin method the interaction of three-level atom with quantized electromagnetic field is investigated in the conditions of electromagnetically induced transparency (EIT) conditions. A possibility of noise suppression in atomic system by means of quantum features of squeezed light is examined in detail. The characteristics of atomic system responsible for relaxation processes and noise in EIT are found.
In this paper, we investigate the squeezing properties of the output of an atom laser which consists of an ensemble of three-level atoms in Bose–Einstein condensate state interacting with two quantized and classical laser fields in the presence of a Kerr medium. We represent the Hamiltonian of the system under an electromagnetically induced transparency regime and using the adiabatical elimination process, in terms of angular momentum operators, and then deduce the corresponding analytical state vector with the help of the Dicke model. We give our attention to the evaluation of atomic and field squeezings via numerical calculations. The results show that nonlinear sources in the system, i.e., “interatom collisions” and “Kerr medium,” lead to squeezing of atoms and photons. In this respect, the squeezing values can be controlled by adjusting the strength of interatom collisions, the Kerr medium, as well as other involved parameters in the considered model. Also, the collapse-revival phenomenon as a pure quantum feature can be observed in the behavior of atomic squeezing, while only irregular oscillations appeared in the field squeezing.
The propagation of a pair of quantized fields inside a medium of three-level atoms in the $\ensuremath{\Lambda}$ configuration is analyzed. We calculate the stationary quadrature noise spectrum of the field after propagating through the medium in the case where the field has a general (but small) noise spectrum and the atoms are in a coherent population trapping state and show electromagnetically induced transparency. Although the mean values of the field remain unaltered as the field propagates, there is an oscillatory interchange of noise properties between the probe and pump fields. Also, as the field propagates, there is an oscillatory creation and annihilation of correlations between the probe and pump quadratures. We further study the field propagation of squeezed states when there is two-photon resonance, but the field has a detuning $\ensuremath{\delta}$ from atomic resonance. We show that the field propagation is very sensitive to $\ensuremath{\delta}$. The propagation in this case can be explained as a combination of a frequency-dependent rotation of maximum squeezed quadrature with an interchange of noise properties between pump and probe fields. It is also shown that the effect of the Doppler width in a squeezed state propagation is considerable.
We analyze the propagation of a pair of quantized fields inside a medium of three-level atoms in a Lambda configuration. We calculate the stationary quadrature noise spectrum of the field, in the case where the probe field is in a squeezed state and the atoms show electromagnetically induced transparency. We find an oscillatory transfer of the initial quantum properties between the probe and pump fields which is most strongly pronounced when both fields have comparable intensities. This implies that the quantum state measured after propagation can be completely different from the initial state, even though the mean values of the field are unaltered.