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

Journal of Modern Optics

Photon filters in a microwave cavity

Jonas Larson, Stig Stenholm

Published Dec 1, 2003• 5 citations
Publisher

Abstract

In an earlier paper we concluded that time-dependent parameters in the atom-mode interaction can be utilized to modify the quantum field in a cavity. When an atom shoots through the cavity field, it is expected to experience a trigonometric time dependence of its coupling constant. We investigate the possibilities this offers to modify the field. As a point of comparison we use the solvable Rosen-Zener model, which has parameter dependences roughly similar to the ones expected in a real cavity. We do confirm that by repeatedly sending atoms through the cavity, we can obtain filters on the photon states. Highly non-classical states can be obtained. We find that the Rosen-Zener model is more sensitive to the detuning than the case of a trigonometric coupling.

DOI
10.1080/09500340308234580

Related papers

Photon filters in a microwave cavity

Jonas Larson, Stig Stenholm

In an earlier paper we concluded that time-dependent parameters in the atom-mode interaction can be utilized to modify the quantum field in a cavity. When an atom shoots through the cavity field, it is expected to experience a trigonometric time dependence of its coupling constant. We investigate the possibilities this offers to modify the field. As a point of comparison we use the solvable Rosen-Zener model, which has parameter dependences roughly similar to the ones expected in a real cavity. We do confirm that by repeatedly sending atoms through the cavity, we can obtain filters on the photon states. Highly non-classical states can be obtained. We find that the Rosen-Zener model is more sensitive to the detuning than the case of a trigonometric coupling.

arXiv:quant-ph/0304166•Journal of Modern Optics•Dec 1, 2003•1 citation

Photon filters in a microwave cavity

Jonas Larson, Stig Stenholm

In an earlier paper we have concluded that time-dependent parameters in atom-mode interaction can be utilized to modify the quantum field in a cavity. When an atom shoots through the cavity field, it is expected to experience a trigonometric time dependence of its coupling constant. We investigate the possibilities this offers to modify the field. As a point of comparison we use the solvable Rosen-Zener model, which has parameter dependencies roughly similar to the ones expected in a real cavity. We do confirm that by repeatedly sending atoms through the cavity, we can obtain filters on the photon states. Highly non-classical states can be obtained. We find that the Rosen-Zener model is more sensitive to the detuning than the case of a trigonometric coupling. 1

•Apr 25, 2003•3 citations

Adiabatic state preparation in a cavity

Jonas Larson, Stig Stenholm

The paper discusses the single-mode Jaynes-Cummings model with time-dependent parameters. Solvable models for two-level systems are utilized to consider the changes in the photon distribution effected by the passage of atoms through the cavity. It is suggested that such systems may be used as filters to modify the photon distribution. The effect can be enhanced by repeatedly sending new atoms through the cavity. We show that such filters can cut out either small or large photon numbers. It is also shown that the method can be used to narrow down photon distributions and in this way achieve highly non-classical sub-Poissonian states. Some limitations and applications of the method are presented.

arXiv:quant-ph/0410137•Journal of Modern Optics•Jan 1, 2003•15 citations

Time dependent processes incavity QED.

Jonas Larson

Cavity quantum electrodynamics (QED) has become one of themost successful tools for quantum information processing, butalso for the study of other pure quantum effects. In thisthesis we investigate one such system, the micromaser; an atomtraverse a cavity and interacts with the quantized modes of thecavity field. Today, the relaxation times of the atom and thecavity field can be made orders of magnitude longer than singleinteraction times, which makes it possible to carry out severaloperations on the system before decoherence becomessignificant. One can often, to a good approximation, treat themicromaser problem by considering the atom as a two-levelsystem interacting with just one of the modes, and losses ofthe combined system can be neglected during the interaction.Any rotations of the atomic Bloch vector during the interactionare, in principle, achievable with modern laser techniques. Forexample, the atom can be Stark shifted in a controlled fashionwith external lasers while it passes through the cavity.The micromaser is theoretically well described by the famousJaynes-Cummings model. Here we look into the problem arisingwhen the parameters of the Jaynes-Cummings model, which are theatom-field coupling and detuning, are allowed to vary in time.What possibilities may occur by letting the parameters dependon time? This question is fairly unanalyzed in the literatureand we are especially interested in preparing variousnon-classical states of the field. The states of the atoms aremeasured after the interactions with thefield and we considerboth the cases when the results of the detections are collectedor not. It is shown that, both in the non-selective andselective measurement procedure, any Fock state can begenerated. We also discuss how one can heat up or cool down thefield and how to prepare entangled states including more thanone mode. The photon field statistics are investigated when theparameters becomes time dependent and field losses areconsidered.

•Jan 1, 2003•0 citations

On the interaction between a time-dependent field and a two-level atom

N. H. Abdel-Wahab, Ahmed Salah

In this paper, we study the interaction between the time-dependent field and a two-level atom with one mode electromagnetic field. We consider that the field of photons is assumed to be coupled with modulated coupling parameter which depends explicitly on time. It is shown that the considered model can be reduced to a well-known form of the time-dependent generalized Jaynes–Cummings model. Under special initial conditions, in which the atom and the field are prepared in the excited and the coherent states, respectively, the explicit time evolution of the wave function of the entire system is analytically obtained. Our proposal has many advantages over the previous optical schemes and can be realized in several multiple experiments, such as trapped ions and quantum electrodynamics cavity. The influence of the time-dependent field parameter on the collapses-revivals, the normal squeezing of the radiation, the anti-bunching of photons and the entanglement phenomena for the considered atomic system is examined. The linear entropy, the von Neumann entropy are used to quantify entanglement in the quantum systems. We noticed that these phenomena are affected by the existence of both the time-dependent coupling field and detuning parameters.

Modern Physics Letters A•Mar 14, 2019•11 citations

Dynamics of dispersive photon-number QND measurements in a micromaser

A. V. Kozlovskiĭ

A numerical analysis of dispersive quantum nondemolition measurement of the photon number of a microwave cavity field is presented. Simulations show that a key property of the dispersive atom-field interaction used in Ramsey interferometry is the extremely high sensitivity of the dynamics of atomic and field states to basic parameters of the system. When a monokinetic atomic beam is sent through a microwave cavity, a qualitative change in the field state can be caused by an uncontrollably small deviation of parameters (such as atom path length through the cavity, atom velocity, cavity mode frequency detuning, or atom-field coupling constants). The resulting cavity field can be either in a Fock state or in a super-Poissonian state (characterized by a large photon-number variance). When the atoms have a random velocity spread, the field is squeezed to a Fock state for arbitrary values of the system’s parameters. However, this makes detection of Ramsey fringes impossible, because the probability of detecting an atom in the upper or lower electronic state becomes a random quantity almost uniformly distributed over the interval between zero and unity, irrespective of the cavity photon number.

Journal of Experimental and Theoretical Physics•Apr 1, 2007•0 citations
In an earlier paper we concluded that time-dependent parameters in the atom-mode interaction can be utilized to modify the quantum field in a cavity. When an atom shoots through the cavity field, it is expected to experience a trigonometric time dependence of its coupling constant. We investigate the possibilities this offers to modify the field. As a point of comparison we use the solvable Rosen-Zener model, which has parameter dependences roughly similar to the ones expected in a real cavity. We do confirm that by repeatedly sending atoms through the cavity, we can obtain filters on the photon states. Highly non-classical states can be obtained. We find that the Rosen-Zener model is more sensitive to the detuning than the case of a trigonometric coupling.
In an earlier paper we concluded that time-dependent parameters in the atom-mode interaction can be utilized to modify the quantum field in a cavity. When an atom shoots through the cavity field, it is expected to experience a trigonometric time dependence of its coupling constant. We investigate the possibilities this offers to modify the field. As a point of comparison we use the solvable Rosen-Zener model, which has parameter dependences roughly similar to the ones expected in a real cavity. We do confirm that by repeatedly sending atoms through the cavity, we can obtain filters on the photon states. Highly non-classical states can be obtained. We find that the Rosen-Zener model is more sensitive to the detuning than the case of a trigonometric coupling.
In an earlier paper we have concluded that time-dependent parameters in atom-mode interaction can be utilized to modify the quantum field in a cavity. When an atom shoots through the cavity field, it is expected to experience a trigonometric time dependence of its coupling constant. We investigate the possibilities this offers to modify the field. As a point of comparison we use the solvable Rosen-Zener model, which has parameter dependencies roughly similar to the ones expected in a real cavity. We do confirm that by repeatedly sending atoms through the cavity, we can obtain filters on the photon states. Highly non-classical states can be obtained. We find that the Rosen-Zener model is more sensitive to the detuning than the case of a trigonometric coupling. 1
The paper discusses the single-mode Jaynes-Cummings model with time-dependent parameters. Solvable models for two-level systems are utilized to consider the changes in the photon distribution effected by the passage of atoms through the cavity. It is suggested that such systems may be used as filters to modify the photon distribution. The effect can be enhanced by repeatedly sending new atoms through the cavity. We show that such filters can cut out either small or large photon numbers. It is also shown that the method can be used to narrow down photon distributions and in this way achieve highly non-classical sub-Poissonian states. Some limitations and applications of the method are presented.
Cavity quantum electrodynamics (QED) has become one of themost successful tools for quantum information processing, butalso for the study of other pure quantum effects. In thisthesis we investigate one such system, the micromaser; an atomtraverse a cavity and interacts with the quantized modes of thecavity field. Today, the relaxation times of the atom and thecavity field can be made orders of magnitude longer than singleinteraction times, which makes it possible to carry out severaloperations on the system before decoherence becomessignificant. One can often, to a good approximation, treat themicromaser problem by considering the atom as a two-levelsystem interacting with just one of the modes, and losses ofthe combined system can be neglected during the interaction.Any rotations of the atomic Bloch vector during the interactionare, in principle, achievable with modern laser techniques. Forexample, the atom can be Stark shifted in a controlled fashionwith external lasers while it passes through the cavity.The micromaser is theoretically well described by the famousJaynes-Cummings model. Here we look into the problem arisingwhen the parameters of the Jaynes-Cummings model, which are theatom-field coupling and detuning, are allowed to vary in time.What possibilities may occur by letting the parameters dependon time? This question is fairly unanalyzed in the literatureand we are especially interested in preparing variousnon-classical states of the field. The states of the atoms aremeasured after the interactions with thefield and we considerboth the cases when the results of the detections are collectedor not. It is shown that, both in the non-selective andselective measurement procedure, any Fock state can begenerated. We also discuss how one can heat up or cool down thefield and how to prepare entangled states including more thanone mode. The photon field statistics are investigated when theparameters becomes time dependent and field losses areconsidered.
In this paper, we study the interaction between the time-dependent field and a two-level atom with one mode electromagnetic field. We consider that the field of photons is assumed to be coupled with modulated coupling parameter which depends explicitly on time. It is shown that the considered model can be reduced to a well-known form of the time-dependent generalized Jaynes–Cummings model. Under special initial conditions, in which the atom and the field are prepared in the excited and the coherent states, respectively, the explicit time evolution of the wave function of the entire system is analytically obtained. Our proposal has many advantages over the previous optical schemes and can be realized in several multiple experiments, such as trapped ions and quantum electrodynamics cavity. The influence of the time-dependent field parameter on the collapses-revivals, the normal squeezing of the radiation, the anti-bunching of photons and the entanglement phenomena for the considered atomic system is examined. The linear entropy, the von Neumann entropy are used to quantify entanglement in the quantum systems. We noticed that these phenomena are affected by the existence of both the time-dependent coupling field and detuning parameters.
A numerical analysis of dispersive quantum nondemolition measurement of the photon number of a microwave cavity field is presented. Simulations show that a key property of the dispersive atom-field interaction used in Ramsey interferometry is the extremely high sensitivity of the dynamics of atomic and field states to basic parameters of the system. When a monokinetic atomic beam is sent through a microwave cavity, a qualitative change in the field state can be caused by an uncontrollably small deviation of parameters (such as atom path length through the cavity, atom velocity, cavity mode frequency detuning, or atom-field coupling constants). The resulting cavity field can be either in a Fock state or in a super-Poissonian state (characterized by a large photon-number variance). When the atoms have a random velocity spread, the field is squeezed to a Fock state for arbitrary values of the system’s parameters. However, this makes detection of Ramsey fringes impossible, because the probability of detecting an atom in the upper or lower electronic state becomes a random quantity almost uniformly distributed over the interval between zero and unity, irrespective of the cavity photon number.