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

Physical Review A

Universal Zeno competition in the dissipative Jaynes-Cummings model

Hai‐Chao Li, Wei Xiong, Guo-Qin Ge, Muhammad Suhail Zubairy

Published May 16, 2022• 2 citations
Publisher

Abstract

In this paper we demonstrate competitive Zeno physics in the dissipative Jaynes-Cummings model. The mechanism relies on Zeno coexistence between the single-mode field and the environment. We show that the Zeno suppression of coherent evolution predicted by the standard Jaynes-Cummings model can dramatically fail in the presence of the dissipative environment. For hydrogen atom, such a Zeno effect is not usually observable because the environment ignored previously would, in fact, work in a dominant manner. Moreover, beyond the extremely short-time measurement limit in atomic decay, the Zeno time for hydrogen reaches ${10}^{\ensuremath{-}10}$ s in the dressed-state picture, which presents an immediately realizable Zeno scheme for the decay of a real atom in the current technology.

DOI
10.1103/physreva.105.052208

Related papers

Aspects of the competition between atom-field and field-environment couplings under the influence of an external source in dispersive Jaynes-Cummings model

J. G. Peixoto de Faria, Maria Carolina Nemes

We give a fully description of the dynamics of an atom dispersively coupled to a field mode in a dissipative environment fed by an external source. The competition between the unitary atom-field (which leads to entanglement) and the dissipative field-environment couplings are investigated in detail. We find the time evolution of the global atom-field system for any initial state and we show that atom-field steady state is at most classically correlated. For an initial state chosen, we evaluate the purity loss of the global system and of atomic and field subsystems as a function of time. We find that the source will tend to compensate for the dissipation of the field intensity and to accelerate decoherence of the global and atomic states. Moreover, we show that the degree of entanglement of the atom-field state, for the particular initial state chosen, can be completely quantified by concurrence. Analytical expression for time evolution of the concurrence is given.

arXiv:quant-ph/0212063•Dec 10, 2002•0 citations

Free dynamics and quantum Zeno effect of qubit coupled to a single mode field in dissipation environment

Shan Wu, Hai‐Chao Li, Jiying Zhang +2 more

Abstract We investigate the long time evolution of a qubit coupled to an intrinsic bath and a single mode field which is coupled with a cavity bath, with and without repetitive measurements. We also analyze the measurement-modified decay rate, which shows that the free decay rate does not necessarily exist in some systems. The free decay rate is widely used to distinguish the quantum Zeno effect and anti-Zeno effect (AZE). It indicates that one cannot always make that clear if a decay of a system is accelerated. Our model confirms this conclusion; it shows that the AZE is not a universal concept.

Journal of Physics B Atomic Molecular and Optical Physics•Feb 2, 2017•0 citations

Quantum Zeno effect in cavity quantum electrodynamics: Experimental proposal with nonideal cavities and detectors

R. Rossi, A.R. Bosco de Magalhães, Maria Carolina Nemes

We propose an experiment for the observation of the quantum Zeno effect (QZE) in a bipartite system. The setup involves two microwave cavities and a ``tunneling'' photon, which is observed by the passage of Rydberg atoms. Our proposal allows for the consideration of two types of measurements, namely, sequential observations of the atomic state and its inclusive measurement. In the present system the two processes are shown to lead to the same result in the ideal case. We consider realistic atom-field interaction times, cavity dissipation, and limited detection efficiency. Analytical expressions for the ``tunneling'' probability are obtained exhibiting a competition between the environment induced exponential decay and the characteristic ${t}^{2}$ (for short times) dependence of the QZE. We show that for sufficiently small dissipation constants the effect can be observed with current experimental facilities.

arXiv:0710.0275•Physical Review A•Jan 18, 2008•6 citations

Dynamical description of the creation and monitoring of a superposition state in a dissipative environment: the Paris experiment

J. G. Peixoto de Faria, Maria Carolina Nemes

Effects of dissipation during the interaction of two-level atoms with a single mode of the electromagnetic field are considered in the context of the dispersive Jaynes–Cummings model to which a damping mechanism is added. The results are applied to the analysis of the so-called Paris experiment (Brune M et al 1996 Phys. Rev. Lett. 77 4887). We obtain analytical expressions for the conditional probabilities measured in this experiment considering the dissipation during the atom–field interaction in both preparing and monitoring stages of the ‘Schrödinger cat’ state. We show that during the formation of the superposition state decoherence results from a competition between the atom–field (unitary) and field–cavity (dissipative) interactions. Moreover, it is quantitatively comparable to the purity loss expected for the field evolving freely during a time interval equal the interaction time. These effects are dominant at short time scales. For later times, the measured conditional probabilities reflect decoherence effects arising from field–cavity interactions.

Journal of Optics B Quantum and Semiclassical Optics•Jul 24, 2002•4 citations

Coherence by environmental decoherence in the damped and dephased Jaynes-Cummings models

Juan Mauricio Torres, T. H. Seligman

We study two extensions to the Jaynes Cummings model described by Markovian master equations with Lindblad operators causing either dephasing or photon losses solely involving the cavity mode. We treat the two-level atom as the central system under investigation, while the mode of the cavity plays the role of a near environment coupled via the Lindblad operators to an imagined far environment. We show that increasing the dephasing or damping parameter of the cavity systematically slows the decoherence of the atom. The exact solvability allows us to determine the relation to the quantum Zeno effect and the perturbative regime.

•Jan 28, 2016•0 citations

Collapse and revival dynamics in a driven Jaynes-Cummings system

P. M. Alsing, Vassilios I. Kovanis, David A. Cardimona

A single atom coupled to a quantized mode of an electromagnetic cavity, driven by an external coherent field, is described by the Hamiltonian H djc = ig(a†σ− − aσ+) + iε(a† − a), where (a†, a) and (σ+, σ) are the raising and lowering operators for the cavity mode and atom, respectively. This is the single atom version of the Hamiltonian used in the study of optical bistability. It describes the evolution of the atom-cavity system on time scales much smaller than the inverse spontaneous emission and cavity decay rates. For 2ε/g < 1, HDJC possesses a discrete set of interaction eigenstates1 with eigenvalues E n ± = ± g n [ 1 − ( 2 ε / g ) 2 ] 3 / 4 . These form a renormalized version of the usual Jaynes-Cummings eigenstates2, which correctly take into account the effect of the driving field to all orders of magnitude. We investigate the collapse and revival nature of the dynamical evolution of the single atom in a cavity, with and without dissipation and above and below the threshold 2ε/g = 1 of the driven Jaynes-Cummings Hamiltonian.

Annual Meeting Optical Society of America•Jan 1, 1992•0 citations
In this paper we demonstrate competitive Zeno physics in the dissipative Jaynes-Cummings model. The mechanism relies on Zeno coexistence between the single-mode field and the environment. We show that the Zeno suppression of coherent evolution predicted by the standard Jaynes-Cummings model can dramatically fail in the presence of the dissipative environment. For hydrogen atom, such a Zeno effect is not usually observable because the environment ignored previously would, in fact, work in a dominant manner. Moreover, beyond the extremely short-time measurement limit in atomic decay, the Zeno time for hydrogen reaches 10\ensuremath−10{10}^{\ensuremath{-}10}10\ensuremath−10 s in the dressed-state picture, which presents an immediately realizable Zeno scheme for the decay of a real atom in the current technology.
We give a fully description of the dynamics of an atom dispersively coupled to a field mode in a dissipative environment fed by an external source. The competition between the unitary atom-field (which leads to entanglement) and the dissipative field-environment couplings are investigated in detail. We find the time evolution of the global atom-field system for any initial state and we show that atom-field steady state is at most classically correlated. For an initial state chosen, we evaluate the purity loss of the global system and of atomic and field subsystems as a function of time. We find that the source will tend to compensate for the dissipation of the field intensity and to accelerate decoherence of the global and atomic states. Moreover, we show that the degree of entanglement of the atom-field state, for the particular initial state chosen, can be completely quantified by concurrence. Analytical expression for time evolution of the concurrence is given.
Abstract We investigate the long time evolution of a qubit coupled to an intrinsic bath and a single mode field which is coupled with a cavity bath, with and without repetitive measurements. We also analyze the measurement-modified decay rate, which shows that the free decay rate does not necessarily exist in some systems. The free decay rate is widely used to distinguish the quantum Zeno effect and anti-Zeno effect (AZE). It indicates that one cannot always make that clear if a decay of a system is accelerated. Our model confirms this conclusion; it shows that the AZE is not a universal concept.
We propose an experiment for the observation of the quantum Zeno effect (QZE) in a bipartite system. The setup involves two microwave cavities and a ``tunneling'' photon, which is observed by the passage of Rydberg atoms. Our proposal allows for the consideration of two types of measurements, namely, sequential observations of the atomic state and its inclusive measurement. In the present system the two processes are shown to lead to the same result in the ideal case. We consider realistic atom-field interaction times, cavity dissipation, and limited detection efficiency. Analytical expressions for the ``tunneling'' probability are obtained exhibiting a competition between the environment induced exponential decay and the characteristic t2{t}^{2}t2 (for short times) dependence of the QZE. We show that for sufficiently small dissipation constants the effect can be observed with current experimental facilities.
Effects of dissipation during the interaction of two-level atoms with a single mode of the electromagnetic field are considered in the context of the dispersive Jaynes–Cummings model to which a damping mechanism is added. The results are applied to the analysis of the so-called Paris experiment (Brune M et al 1996 Phys. Rev. Lett. 77 4887). We obtain analytical expressions for the conditional probabilities measured in this experiment considering the dissipation during the atom–field interaction in both preparing and monitoring stages of the ‘Schrödinger cat’ state. We show that during the formation of the superposition state decoherence results from a competition between the atom–field (unitary) and field–cavity (dissipative) interactions. Moreover, it is quantitatively comparable to the purity loss expected for the field evolving freely during a time interval equal the interaction time. These effects are dominant at short time scales. For later times, the measured conditional probabilities reflect decoherence effects arising from field–cavity interactions.
We study two extensions to the Jaynes Cummings model described by Markovian master equations with Lindblad operators causing either dephasing or photon losses solely involving the cavity mode. We treat the two-level atom as the central system under investigation, while the mode of the cavity plays the role of a near environment coupled via the Lindblad operators to an imagined far environment. We show that increasing the dephasing or damping parameter of the cavity systematically slows the decoherence of the atom. The exact solvability allows us to determine the relation to the quantum Zeno effect and the perturbative regime.
A single atom coupled to a quantized mode of an electromagnetic cavity, driven by an external coherent field, is described by the Hamiltonian H djc = ig(a†σ− − aσ+) + iε(a† − a), where (a†, a) and (σ+, σ) are the raising and lowering operators for the cavity mode and atom, respectively. This is the single atom version of the Hamiltonian used in the study of optical bistability. It describes the evolution of the atom-cavity system on time scales much smaller than the inverse spontaneous emission and cavity decay rates. For 2ε/g < 1, HDJC possesses a discrete set of interaction eigenstates1 with eigenvalues E n ± = ± g n [ 1 − ( 2 ε / g ) 2 ] 3 / 4 . These form a renormalized version of the usual Jaynes-Cummings eigenstates2, which correctly take into account the effect of the driving field to all orders of magnitude. We investigate the collapse and revival nature of the dynamical evolution of the single atom in a cavity, with and without dissipation and above and below the threshold 2ε/g = 1 of the driven Jaynes-Cummings Hamiltonian.