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 Physics Conference Series

Evolution of a two-level quantum particle in the noise classical e.-m. field within and beyond the resonant approximation

Ashat M. Basharov

Published Jun 1, 2017• 1 citation
Publisher

Abstract

The paper has shown that the interaction of a stochastic field with a two-level system beyond the resonant approximation is equivalent to the resonant interaction of a noise field in maximally squeezed state.
DOI
10.1088/1742-6596/859/1/012003

Related papers

Dynamics Of Interaction Of Quantum System With Stochastic Fields

Собакинская Екатерина Александровна, A. L. Pankratov, В. Л. Вакс +2 more

Analytical and numerical calculations of dynamics of polarization and population difference for two‐level quantum system, interacting with stochastic fields are presented. For the stochastic fields we consider two cases: phase‐diffusion and colored‐noise field of arbitrary intensity. Stationary values and characteristic evolution times of polarization and population difference are defined.

AIP conference proceedings•Jan 1, 2009•2 citations

Effect of stochastic fields on spectrum of two-level quantum system

Собакинская Екатерина Александровна, A. L. Pankratov, В. Л. Вакс

Analytical and numerical calculations of spectrum of two-level system, interacting with stochastic fields are presented. For the stochastic fields we consider two cases: phase-diffusion and colored-noise field of arbitrary intensity. The special attention is given to Rytov fields.

International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz)•Sep 1, 2008•2 citations

Dynamics of quantum transitions in Magnus representation

Gor A. Abovyan

Dynamics of a two-level quantum system in an electromagnetic excitation field is investigated in the Magnus representation on the Bloch sphere. This approach leads to the general expressions for the probability of quantum transitions beyond the resonance approximation. The applications of these results to the interaction of a qubit with a monochromatic field as well as with the Gaussian pulse are presented.

Journal of Contemporary Physics (Armenian Academy of Sciences)•Jul 1, 2015•0 citations

Two particles with zero-range interaction in a magnetic field

Johannes Kirscher, Brian C. Tiburzi

Energy levels are investigated for two charged particles possessing an attractive, momentum-independent, zero-range interaction in a uniform magnetic field. A transcendental equation governs the spectrum, which is characterized by a collective Landau-level quantum number incorporating both center-of-mass and relative degrees of freedom. Results are obtained for a system of one charged and one neutral particle, with the interaction chosen to produce a bound state in vanishing magnetic field. Beyond deriving the weak-field expansion of the energy levels, we focus on non-perturbative aspects. In the strong-field limit, or equivalently for a system in the unitary limit, a single bound level with universal binding energy exists. By contrast, excited states are resonances that disappear into the continuum as the magnetic field is raised beyond critical values. A hyperbola is derived that approximates the number of bound levels as a function of the field strength remarkably well.

arXiv:2104.07565•Physics Letters B•Jun 23, 2021•1 citation

Stochastic Resonance in the Coherence of a Quantum System

Thomas Wellens, Andreas Buchleitner

We demonstrate the noise-induced amplification of a weak periodic signal inscribed in the coherence of a two-level atom, interacting with a single mode of the quantized radiation field coupled to a dissipative environment.

Physical Review Letters•May 29, 2000•26 citations

Non-classical correlations of accelerated observers interacting with a classical stochastic noise beyond the single mode approximation

Mahmoud Youssef Abd‐Rabbou, Mahmood Shamirzaie, Salman Khan

Abstract This paper investigates the behaviour of the quantum correlations for an accelerated two-qubit system during its interaction with a classical stochastic field, utilizing the Wigner function and concurrence. The non-classical behaviour is indicated by negative values of the Wigner function, while the degree of entanglement is demonstrated by the concurrence. To consider acceleration and interaction with a common or independent environment, we discard the single-mode approximation and utilize the Unruh construction of the quantum field mode in our analysis. Our results suggest that coherence suppression is caused by the acceleration effect, noise strength, and noise frequency. Through an examination of quantum concurrence, this study analyses the level of quantum entanglement that corresponds positively with negative values of the Wigner function. The findings indicate that coherence degradation in the initial system is reduced when observers interact independently with their environments, as opposed to interacting with a common environment. Additionally, the acceleration of both observers has an impact on coherence reduction. During system evolution, the Wigner function displays collapse and reappearance behaviour, while quantum entanglement undergoes local collapse and revival phenomena. Notably, common noise situations exhibit more rapid variation in both the Wigner function and entanglement compared to independent noise configurations.

Optical and Quantum Electronics•Jun 9, 2023•6 citations
Energy levels are investigated for two charged particles possessing an attractive, momentum-independent, zero-range interaction in a uniform magnetic field. A transcendental equation governs the spectrum, which is characterized by a collective Landau-level quantum number incorporating both center-of-mass and relative degrees of freedom. Results are obtained for a system of one charged and one neutral particle, with the interaction chosen to produce a bound state in vanishing magnetic field. Beyond deriving the weak-field expansion of the energy levels, we focus on non-perturbative aspects. In the strong-field limit, or equivalently for a system in the unitary limit, a single bound level with universal binding energy exists. By contrast, excited states are resonances that disappear into the continuum as the magnetic field is raised beyond critical values. A hyperbola is derived that approximates the number of bound levels as a function of the field strength remarkably well.
Abstract This paper investigates the behaviour of the quantum correlations for an accelerated two-qubit system during its interaction with a classical stochastic field, utilizing the Wigner function and concurrence. The non-classical behaviour is indicated by negative values of the Wigner function, while the degree of entanglement is demonstrated by the concurrence. To consider acceleration and interaction with a common or independent environment, we discard the single-mode approximation and utilize the Unruh construction of the quantum field mode in our analysis. Our results suggest that coherence suppression is caused by the acceleration effect, noise strength, and noise frequency. Through an examination of quantum concurrence, this study analyses the level of quantum entanglement that corresponds positively with negative values of the Wigner function. The findings indicate that coherence degradation in the initial system is reduced when observers interact independently with their environments, as opposed to interacting with a common environment. Additionally, the acceleration of both observers has an impact on coherence reduction. During system evolution, the Wigner function displays collapse and reappearance behaviour, while quantum entanglement undergoes local collapse and revival phenomena. Notably, common noise situations exhibit more rapid variation in both the Wigner function and entanglement compared to independent noise configurations.