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 Nonlinear Optical Physics & Materials

COHERENCE EFFECTS IN MESOSCOPIC HIGHER HARMONIC MULTISTABILITY

Hanan Ali Batarfi, Yasser Amoun Sharaby, Saad S. M. Hassan

Published Dec 1, 2012• 3 citations
Publisher

Abstract

The interaction of a mesoscopic system of coherently injected two-level Rydberg atoms with a coherently driven single cavity mode is treated outside the rotating wave approximation (RWA). The additional first harmonic component of the output field (outside RWA) exhibits closed hysteresis loops and multiple-switching processes, compared with the hysteresis cycles for the nonoscillatory (fundamental) component within the RWA. This is achieved via two controls: (i) varying the coherent population excitation and relative phase parameters (θ, ϕ) of the coherently injected atoms, and, (ii) varying simultaneously atom and cavity detuning parameters.

DOI
10.1142/s0218863512500439

Related papers

Mesoscopic multistability outside the rotating wave approximation

Saad S. M. Hassan, Yasser Amoun Sharaby

The interaction of a mesoscopic system of two-level Rydberg atoms with a coherently driven single cavity mode is treated outside the rotating wave approximation (RWA). This yields a system of non-autonomous Maxwell–Bloch equations that can be solved using Fourier decomposition of both field and atomic variables up to first harmonics and to O ( Q −1 ), where Q is the cavity quality factor. For the absorber and amplifier regimes, the first harmonic component of the output field (outside the RWA) exhibits closed hysteresis loops compared with hysteresis cycles for the non-oscillatory (fundamental) component within the RWA. A cooperative switching diagram (output field versus cooperative atomic parameter) outside the RWA shows overlapping branches in the resonant case and closed loops in the non-resonant case.

Journal of Physics B Atomic Molecular and Optical Physics•Aug 26, 2008•6 citations

Mesoscopic multistability with atomic coherence effects

Saad S. M. Hassan, Yasser Amoun Sharaby

The steady state behaviour describing the interaction of a mesoscopic system of coherently injected two-level Rydberg atoms with a coherently driven single-mode cavity is investigated in both resonant and non-resonant regimes. Multiple-switching effects between the output field states are predicted with the atomic coherent excitation (θ) and relative coherent phase parameter (Φ r ) of the atomic coherent state . The relation between the transmitted field ( x ) and the atomic cooperation parameter ( C ) shows multistable behaviour for some values of the polar and azimuthal angles (θ,ϕ). The transverse field feature in the form of a Gaussian beam profile tends to degrade the multistable structure in the ( C – x ) and the input–output field ( x – Y ) relations. Micromaser action is analysed for the system with atomic coherence within and without the plane wave approximation.

Journal of Optics B Quantum and Semiclassical Optics•Nov 22, 2005•7 citations

DISPERSIVE SWITCHING IN MESOSCOPIC MULTISTABLE SYSTEMS

Yasser Amoun Sharaby, Saad S. M. Hassan

Dispersive switching effect is examined for a mesoscopic system of coherently injected two-level Rydberg atoms into a driven single-mode superconducting cavity. The effect concerns the switching of the output field by simultaneously varying the atomic and cavity detuning parameters at fixed values of the coherent driving field. For certain atomic coherence parameters, symmetric and asymmetric switching diagrams are exhibited, which include one- and two-way process via multistep transitions between output field states.

Journal of Nonlinear Optical Physics & Materials•Sep 1, 2008•5 citations

Multistability in mesoscopic Rydberg-atom systems

Federico Casagrande, L. A. Lugiato, W. Lange +1 more

We describe a system of N two-level Rydberg atoms which travel through a resonant cavity and interact with a single mode of the resonator. N is assumed to be on the order of a few tens or hundreds of atoms. In particular, we analyze the case where the atoms are injected to the lower state (absorber) and the system is driven by an external coherent radiation field exactly resonant with the atoms and with the cavity. In the case of a monoenergetic atomic beam, the picture that arises is substantially different from that of standard optical bistability. The switching behavior is not governed by saturation, but by the Rabi cycles of the atoms in the cavity. The hysteresis cycle of the population of the upper level is butterfly shaped. When the bistability parameter exceeds an appropriate second threshold, the system displays multistability rather than simple bistability, and under proper conditions it develops domains of instability in positive-slope regions of the steady-state curve. We analyze the effects of a velocity distribution (thermal or Gaussian) in the atomic beam, and of inhomogeneous broadening caused by stray electric fields. Finally, we discuss the feasibility of an experimental observation of the effects predicted by our analysis.

Physical Review A•Jul 1, 1993•24 citations

Optical bistability outside the rotating wave approximation in mixed species

Mona Ali

Optical bistable behavior for a system of inhomogeneously broadened two sorts of two-level atoms in a ring cavity is investigated outside the rotating wave approximation (RWA). The model Maxwell–Bloch equations are treated with Fourier decomposition up to first harmonic. The first harmonic output field component exhibits reversed or mushroom bistability simultaneously with bi- and double-bistability in the fundamental field component. Inhomogeneous broadening and transverse field effects are also considered.

Journal of the Egyptian Mathematical Society•Sep 2, 2012•2 citations

Atomic cooperation and nonlinear dynamics in a mesoscopic maser

M Benassi, Federico Casagrande, W Lange

We consider a mesoscopic maser, in which a beam of excited two-level Rydberg atoms interacts with a single radiation mode during propagation through a resonant cavity. The number of atoms in the cavity ranges from a few tens to a few hundreds. Steady-state and nonlinear dynamics are investigated both with and without a coherent driving field. At steady state, atomic cooperation can induce multistability and temporal instabilities. A novel type of bistability is predicted for the amplitude of the coherently driven cavity field as a function of atomic density. The system dynamics exhibits a variety of regimes, including chaos. We have explored them by varying the experimentally accessible parameters: atomic density, cavity linewidth and driving field amplitude.

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Dec 1, 1997•14 citations
The interaction of a mesoscopic system of coherently injected two-level Rydberg atoms with a coherently driven single cavity mode is treated outside the rotating wave approximation (RWA). The additional first harmonic component of the output field (outside RWA) exhibits closed hysteresis loops and multiple-switching processes, compared with the hysteresis cycles for the nonoscillatory (fundamental) component within the RWA. This is achieved via two controls: (i) varying the coherent population excitation and relative phase parameters (θ, ϕ) of the coherently injected atoms, and, (ii) varying simultaneously atom and cavity detuning parameters.
The interaction of a mesoscopic system of two-level Rydberg atoms with a coherently driven single cavity mode is treated outside the rotating wave approximation (RWA). This yields a system of non-autonomous Maxwell–Bloch equations that can be solved using Fourier decomposition of both field and atomic variables up to first harmonics and to O ( Q −1 ), where Q is the cavity quality factor. For the absorber and amplifier regimes, the first harmonic component of the output field (outside the RWA) exhibits closed hysteresis loops compared with hysteresis cycles for the non-oscillatory (fundamental) component within the RWA. A cooperative switching diagram (output field versus cooperative atomic parameter) outside the RWA shows overlapping branches in the resonant case and closed loops in the non-resonant case.
The steady state behaviour describing the interaction of a mesoscopic system of coherently injected two-level Rydberg atoms with a coherently driven single-mode cavity is investigated in both resonant and non-resonant regimes. Multiple-switching effects between the output field states are predicted with the atomic coherent excitation (θ) and relative coherent phase parameter (Φ r ) of the atomic coherent state . The relation between the transmitted field ( x ) and the atomic cooperation parameter ( C ) shows multistable behaviour for some values of the polar and azimuthal angles (θ,ϕ). The transverse field feature in the form of a Gaussian beam profile tends to degrade the multistable structure in the ( C – x ) and the input–output field ( x – Y ) relations. Micromaser action is analysed for the system with atomic coherence within and without the plane wave approximation.
Dispersive switching effect is examined for a mesoscopic system of coherently injected two-level Rydberg atoms into a driven single-mode superconducting cavity. The effect concerns the switching of the output field by simultaneously varying the atomic and cavity detuning parameters at fixed values of the coherent driving field. For certain atomic coherence parameters, symmetric and asymmetric switching diagrams are exhibited, which include one- and two-way process via multistep transitions between output field states.
We describe a system of N two-level Rydberg atoms which travel through a resonant cavity and interact with a single mode of the resonator. N is assumed to be on the order of a few tens or hundreds of atoms. In particular, we analyze the case where the atoms are injected to the lower state (absorber) and the system is driven by an external coherent radiation field exactly resonant with the atoms and with the cavity. In the case of a monoenergetic atomic beam, the picture that arises is substantially different from that of standard optical bistability. The switching behavior is not governed by saturation, but by the Rabi cycles of the atoms in the cavity. The hysteresis cycle of the population of the upper level is butterfly shaped. When the bistability parameter exceeds an appropriate second threshold, the system displays multistability rather than simple bistability, and under proper conditions it develops domains of instability in positive-slope regions of the steady-state curve. We analyze the effects of a velocity distribution (thermal or Gaussian) in the atomic beam, and of inhomogeneous broadening caused by stray electric fields. Finally, we discuss the feasibility of an experimental observation of the effects predicted by our analysis.
Optical bistable behavior for a system of inhomogeneously broadened two sorts of two-level atoms in a ring cavity is investigated outside the rotating wave approximation (RWA). The model Maxwell–Bloch equations are treated with Fourier decomposition up to first harmonic. The first harmonic output field component exhibits reversed or mushroom bistability simultaneously with bi- and double-bistability in the fundamental field component. Inhomogeneous broadening and transverse field effects are also considered.
We consider a mesoscopic maser, in which a beam of excited two-level Rydberg atoms interacts with a single radiation mode during propagation through a resonant cavity. The number of atoms in the cavity ranges from a few tens to a few hundreds. Steady-state and nonlinear dynamics are investigated both with and without a coherent driving field. At steady state, atomic cooperation can induce multistability and temporal instabilities. A novel type of bistability is predicted for the amplitude of the coherently driven cavity field as a function of atomic density. The system dynamics exhibits a variety of regimes, including chaos. We have explored them by varying the experimentally accessible parameters: atomic density, cavity linewidth and driving field amplitude.