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 de Physique II

Superposition States in Cavities Fed by Injected Atoms

Paulina Marian, Tudor A. Marian

Published Dec 1, 1997• 0 citations
Publisher

Abstract

We study the possibility of producing disentangled states in the Jaynes-Cummings model when the input field is a superposition of two Fock states, |M〉 and |M+ 1〉, and the atom is initially in a superposition of its two stationary states. In the case of large M, we show that Jaynes-Cummings interaction provides quantum state swapping between the two qubits (atom and field).

DOI
10.1051/jp2:1997106

Related papers

Generation of superpositions of displaced Fock states via the driven Jaynes - Cummings model

Shi-Biao Zheng, Guang‐Can Guo

We propose a method to produce superpositions of displaced Fock states via the driven Jaynes - Cummings model. We introduce the dressed-atom representation of the driven Jaynes - Cummings model to investigate the evolution of the state of the system. When the cavity field is in an initial coherent state ( is the amplitude of the classical driving field and g is the coupling constant between the atom and the cavity field), the evolution of the state of the system is similar to the vacuum Rabi oscillation of the normal Jaynes - Cummings model. After a period of interaction, the superposition of displaced Fock states of the cavity field can be generated by a state-selective measurement on the atom.

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Aug 1, 1996•12 citations

Interaction of Superpositions of Coherent States of Light with Two-level Atoms

A. Vidiella-Barranco, H. M. Moya-Cessa, Vladimír Bužek

We investigate some of the basic features of the interaction of superpositions of coherent states of light with two-level atoms in the framework of the Jaynes-Cummings model. We compare the behaviour of the system in the case of having a coherent superposition state and a statistical mixture of coherent states as an initial field. We investigate the collapses and revivals of the atomic inversion by studying the evolution of the Q function of the cavity field. We also establish the connection between the purity of the field and the collapses and revivals of the atomic inversion.

Journal of Modern Optics•Jul 1, 1992•50 citations

Field–atom dynamics of the Jaynes-Cummings model for large initial fields

Julio R. Gea-Banacloche

For large initial fields, the evolution of the Jaynes-Cummings model is shown to simplify considerably. For two special initial atomic states (the eigenstates of the semiclassical problem) one finds a disentangled, quasipure-state evolution for both the field and atom. For an arbitrary initial atomic state the evolution is a linear super-imposition of these two privileged alternative paths. New results include the fact that the state of the atom at half-revival time is pure and independent of the initial state (nonunitary evolution), and that the state of the field at that time is a coherent super-imposition of macroscopically distinct states (Schrodinger cat).

Annual Meeting Optical Society of America•Jan 1, 1991•0 citations

Dissipation and Amplification of Jaynes-Cummings Superposition States

M.S. Kim

There have recently been several proposals for generation of optical superposition states in the resonant atom-field interaction and more practically in microwave cavities. In the present paper we study the influence of the vacuum reservoir on properties of the near-superposition state of the cavity field which is described by the Jaynes-Cummings model at one-half of the revival time. Instead of introducing the cavity loss from the first instance of the atom-field interaction we consider the cavity loss only after the near-superposition state is produced and after the atom leaves the cavity. We solve the corresponding master equation with the initial condition being the Jaynes-Cummings field at one-half of the revival time. We find that under the influence of the vacuum reservoir the photon number distribution of the superposition state we study exhibits certain asymmetry around the mean photon induced by the decay process. We show that an analogous effect can be seen when the Jaynes-Cummings superposition state is amplified. For a basic test of our approach we study the dissipation and amplification of Fock states.

Journal of Modern Optics•Jul 1, 1993•31 citations

Cooperativity and Entanglement of Atom-field States

Igor K. Kudryavtsev, Astrid Lambrecht, H. M. Moya-Cessa +1 more

The Jaynes-Cummings model of a single two-level atom interacting with a quantized single-mode coherent field generates at the half-revival time a dynamically disentangled atom-field state. At such times, the field is in asymptotically pure Schrödinger cat state, a macroscopic superposition of distinct field eigenmodes. In this paper we address the problem of field purity when a second atom is allowed to interact with the cavity mode and becomes entangled with the first atom via their mutual cavity field with which they interact. We employ the collective Dicke states to describe the cooperative effects on the entanglement and show that the second atom spoils the purity of the field state except for special cases of the atom-field coupling or of initial conditions.

Journal of Modern Optics•Aug 1, 1993•47 citations

Coherent control of two Jaynes–Cummings cavities

Luis Octavio Castaños-Cervantes, Lorenzo M. Procopio, Marco Enríquez

We uncover new features on the study of a two-level atom interacting with one of two cavities in a coherent superposition. The James-Cummings model is used to describe the atom-field interaction and to study the effects of quantum indefiniteness on such an interaction. We show that coherent control of the two cavities in an undefined manner allows novel possibilities to manipulate the atomic dynamics on demand which are not achievable in the conventional way. In addition, it is shown that the coherent control of the atom creates highly entangled states of the cavity fields taking a Bell-like or Schrödinger-cat-like state form. Our results are a step forward to understand and harness quantum systems in a coherent control, and open a new research avenue in the study of atom-field interaction exploiting quantum indefiniteness.

Scientific Reports•Feb 15, 2024•9 citations
We study the possibility of producing disentangled states in the Jaynes-Cummings model when the input field is a superposition of two Fock states, |M〉 and |M+ 1〉, and the atom is initially in a superposition of its two stationary states. In the case of large M, we show that Jaynes-Cummings interaction provides quantum state swapping between the two qubits (atom and field).
We propose a method to produce superpositions of displaced Fock states via the driven Jaynes - Cummings model. We introduce the dressed-atom representation of the driven Jaynes - Cummings model to investigate the evolution of the state of the system. When the cavity field is in an initial coherent state ( is the amplitude of the classical driving field and g is the coupling constant between the atom and the cavity field), the evolution of the state of the system is similar to the vacuum Rabi oscillation of the normal Jaynes - Cummings model. After a period of interaction, the superposition of displaced Fock states of the cavity field can be generated by a state-selective measurement on the atom.
We investigate some of the basic features of the interaction of superpositions of coherent states of light with two-level atoms in the framework of the Jaynes-Cummings model. We compare the behaviour of the system in the case of having a coherent superposition state and a statistical mixture of coherent states as an initial field. We investigate the collapses and revivals of the atomic inversion by studying the evolution of the Q function of the cavity field. We also establish the connection between the purity of the field and the collapses and revivals of the atomic inversion.
For large initial fields, the evolution of the Jaynes-Cummings model is shown to simplify considerably. For two special initial atomic states (the eigenstates of the semiclassical problem) one finds a disentangled, quasipure-state evolution for both the field and atom. For an arbitrary initial atomic state the evolution is a linear super-imposition of these two privileged alternative paths. New results include the fact that the state of the atom at half-revival time is pure and independent of the initial state (nonunitary evolution), and that the state of the field at that time is a coherent super-imposition of macroscopically distinct states (Schrodinger cat).
There have recently been several proposals for generation of optical superposition states in the resonant atom-field interaction and more practically in microwave cavities. In the present paper we study the influence of the vacuum reservoir on properties of the near-superposition state of the cavity field which is described by the Jaynes-Cummings model at one-half of the revival time. Instead of introducing the cavity loss from the first instance of the atom-field interaction we consider the cavity loss only after the near-superposition state is produced and after the atom leaves the cavity. We solve the corresponding master equation with the initial condition being the Jaynes-Cummings field at one-half of the revival time. We find that under the influence of the vacuum reservoir the photon number distribution of the superposition state we study exhibits certain asymmetry around the mean photon induced by the decay process. We show that an analogous effect can be seen when the Jaynes-Cummings superposition state is amplified. For a basic test of our approach we study the dissipation and amplification of Fock states.
The Jaynes-Cummings model of a single two-level atom interacting with a quantized single-mode coherent field generates at the half-revival time a dynamically disentangled atom-field state. At such times, the field is in asymptotically pure Schrödinger cat state, a macroscopic superposition of distinct field eigenmodes. In this paper we address the problem of field purity when a second atom is allowed to interact with the cavity mode and becomes entangled with the first atom via their mutual cavity field with which they interact. We employ the collective Dicke states to describe the cooperative effects on the entanglement and show that the second atom spoils the purity of the field state except for special cases of the atom-field coupling or of initial conditions.
We uncover new features on the study of a two-level atom interacting with one of two cavities in a coherent superposition. The James-Cummings model is used to describe the atom-field interaction and to study the effects of quantum indefiniteness on such an interaction. We show that coherent control of the two cavities in an undefined manner allows novel possibilities to manipulate the atomic dynamics on demand which are not achievable in the conventional way. In addition, it is shown that the coherent control of the atom creates highly entangled states of the cavity fields taking a Bell-like or Schrödinger-cat-like state form. Our results are a step forward to understand and harness quantum systems in a coherent control, and open a new research avenue in the study of atom-field interaction exploiting quantum indefiniteness.