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

Effect of atomic-state coherence and spontaneous emission on three-level dynamics

David A. Cardimona

Published May 1, 1990• 49 citations
Publisher

Abstract

For a three-level atom in the ssV configuration (i.e., having two excited states each dipole-coupled to a common ground state), we have found a particular linear combination of bare-atom states in which Rabi oscillations and their associated collapses and revivals do not occur. Moving to a dressed-state picture, we discover that this particular linear combination state is just that dressed state which is decoupled from all the field modes. It is a dressed state for which the transition dipole moments with the other dressed states are zero. The existence of this decoupled dressed state depends on the tuning of the dressing laser field, which in turn depends on the bare-atom excited-state dipole moments and energy-level separation. When we include spontaneous emission, the population decays from the other dressed states into this decoupled state and remains coherently trapped there, producing a system that experiences no dynamical behavior. This is exact for \ensuremath{\delta}-function photon statistics (i.e., if there is no intensity uncertainty). The trapping becomes less perfect as the photon statistics are allowed to have a greater bandwidth. Also, if the applied field is tuned incorrectly, the spontaneous realignment of the atomic state amplitudes does not result in a totally decoupled dressed state, and the dynamics proceed normally.

DOI
10.1103/physreva.41.5016

Related papers

Spontaneous Trapping In A Three-level Atom

David A. Cardimona, M. P. Sharma

For a 3-level atom in the "V-configuration" (two excited states |1> and |2> each dipole-coupled to a common ground state |g>) interacting with a quantized field, we have found a set of initial atomic state amplitudes for which the usual time-dependent oscillations collapses, and revivals vanish. Preparing the atom initially in this special way forces the atomic population to remain coherently trapped in this configuration. The dressed-state energy of this particular linear combination of bare-atom states is zero, so that eiEt= 1 and the population remains constant in time - as long as the applied field remains on.

Digest on Nonlinear Optics: Materials, Phenomena and Devices•Jan 1, 1990•0 citations

Effect of three-level atomic state coherence on collapse and revival dynamics

David A. Cardimona, M. P. Sharma, María Alejandra Gómez Ortega

For a three-level atom with two excited states each dipole-coupled to a common ground state, the authors have found a particular linear combination of the atomic states which will not experience Rabi oscillations and their associated collapses and revivals. If the atom is initially prepared in this combination state, the atomic population will be coherently trapped there, and the dynamical behaviour will be constant in time.

Journal of Physics B Atomic Molecular and Optical Physics•Dec 28, 1989•26 citations

Double coherent population trapping in a laser-driven atomic medium via spontaneous emission generated coherence

Shakir Ullah, Muhammad Kamil Abbasi, Haleema Sadia Qureshi +1 more

Abstract The coherence phenomenon of atomic population trapping in an excited state of a medium is interesting regarding the basic physics of laser-matter interaction and applications to the generation of pulsed lasers. Here, we propose N numbers of five-level atoms as a gain medium in a weak magnetic field with three excited closely-spaced Zeeman-hyperfine energy levels and two lower energy levels. The excited levels are strongly coupled with a lower level via a coherent-field and to the ground energy level via vacuum field modes. The spontaneous emission spectrum, in general, produces four spectral lines associated with the decaying four dressed states of the atom. Based on parallel dipole moments and radiative decay rates, we find the condition of double coherent population trapping (DCPT) originating from the non-decaying states of the excited dressed states. The decay from the states generates coherence among themselves to eliminate two distinct spectral lines from the spectrum using the trapping condition. In each of the two non-decaying dressed states, 23% of the total atom population traps.

Physica Scripta•May 8, 2025•0 citations

Quantum interference effects in a cavity QED system

Uzma Akram, Z. Ficek

We consider the effect of quantum interference on population distribution and photon statistics of a cavity field interacting with dressed states of a strongly driven three-level atom. We analyse three coupling configurations of the cavity field to the driven atom, with the cavity frequency tuned to the outer Rabi sideband, the inner Rabi sideband and the central frequency of the 'singly dressed' three-level atom. The quantum doubly dressed states for each configuration are identified and the population distribution and photon statistics are interpreted in terms of transitions among these dressed states and their populations. We find that the population distribution depends strongly on quantum interference and the cavity damping. For the cavity field tuned to the outer or inner Rabi sidebands the cavity damping induces transitions between the dressed states which are forbidden for the ordinary spontaneous emission. Moreover, we find that in the case of the cavity field coupled to the inner Rabi sideband the population distribution is almost Poissonian with a large average number of photons that can be controlled by quantum interference. This system can be considered as a one-atom dressed-state laser with controlled intensity.

Journal of Optics B Quantum and Semiclassical Optics•Jun 16, 2003•3 citations

Effect of quantum interference on a three-level atom driven by two laser fields

Uzma Akram, Z. Ficek, S. Swain

We study the effect of quantum interference on the population distribution and absorptive properties of a V-type three-level atom driven by two lasers of unequal intensities and different angular frequencies. Three coupling configurations of the lasers to the atom are analysed: (a) both lasers coupled to the same atomic transition, (b) each laser coupled to different atomic transition and (c) each laser coupled to both atomic transitions. Dressed states for the three coupling configurations are identified, and the population distribution and absorptive properties of the weaker field are interpreted in terms of transition dipole moments and transition frequencies among these dressed states. In particular, we find that in the first two cases there is no population inversion between the bare atomic states, but the population can be trapped in a superposition of the dressed states induced by quantum interference and the stronger field. We show, that the trapping of the population, which results from the cancellation of transition dipole moments, does not prevent the weaker field to be coupled to the cancelled (dark) transitions. As a result, the weaker field can be strongly amplified on transparent transitions. In the case of each laser coupled to both atomic transitions the population can be trapped in a linear superposition of the excited bare atomic states leaving the ground state unpopulated in the steady state. Moreover, we find that the absorption rate of the weaker field depends on the detuning of the strong field from the atomic resonances and the splitting between the atomic excited states. When the strong field is resonant to one of the atomic transitions a quasi-trapping effect appears in one of the dressed states. In the quasi-trapping situation all the transition dipole moments are different from zero, which allows the weaker field to be amplified on the inverted transitions. When the strong field is tuned halfway between the atomic excited states, the population is completely trapped in one of the dressed states and no amplification is found for the weaker field.

Journal of Modern Optics•May 1, 2001•17 citations

Decoherence and coherent population transfer between two coupled systems

Uzma Akram, Z. Ficek, S. Swain

We show that an arbitrary system described by two dipole moments exhibits coherent superpositions of internal states that can be completely decoupled from the dissipative interactions (responsible for decoherence) and an external driving laser field. These superpositions, known as dark or trapping states, can be completely stable or can coherently interact with the remaining states. We examine the master equation describing the dissipative evolution of the system and identify conditions for population trapping and also classify processes that can transfer the population to these undriven and nondecaying states. It is shown that coherent transfers are possible only if the two systems are nonidentical, that is the transitions have different frequencies and/or decay rates. In particular, we find that the trapping conditions can involve both coherent and dissipative interactions, and depending on the energy level structure of the system, the population can be trapped in a linear superposition of two or more bare states, a dressed state corresponding to an eigenstate of the system plus external fields or, in some cases, in one of the excited states of the system. A comprehensive analysis is presented of the different processes that are responsible for population trapping, and we illustrate these ideas with three examples of two coupled systems: single V- and $\ensuremath{\Lambda}$-type three-level atoms and two nonidentical two-level atoms, which are known to exhibit dark states. We show that the effect of population trapping does not necessarily require decoupling of the antisymmetric superposition from the dissipative interactions. We also find that the vacuum-induced coherent coupling between the systems could be easily observed in $\ensuremath{\Lambda}$-type atoms. Our analysis of the population trapping in two nonidentical atoms shows that the atoms can be driven into a maximally entangled state which is completely decoupled from the dissipative interaction.

Physical Review A•Jun 15, 2000•76 citations
For a three-level atom in the ssV configuration (i.e., having two excited states each dipole-coupled to a common ground state), we have found a particular linear combination of bare-atom states in which Rabi oscillations and their associated collapses and revivals do not occur. Moving to a dressed-state picture, we discover that this particular linear combination state is just that dressed state which is decoupled from all the field modes. It is a dressed state for which the transition dipole moments with the other dressed states are zero. The existence of this decoupled dressed state depends on the tuning of the dressing laser field, which in turn depends on the bare-atom excited-state dipole moments and energy-level separation. When we include spontaneous emission, the population decays from the other dressed states into this decoupled state and remains coherently trapped there, producing a system that experiences no dynamical behavior. This is exact for \ensuremath{\delta}-function photon statistics (i.e., if there is no intensity uncertainty). The trapping becomes less perfect as the photon statistics are allowed to have a greater bandwidth. Also, if the applied field is tuned incorrectly, the spontaneous realignment of the atomic state amplitudes does not result in a totally decoupled dressed state, and the dynamics proceed normally.
For a 3-level atom in the "V-configuration" (two excited states |1> and |2> each dipole-coupled to a common ground state |g>) interacting with a quantized field, we have found a set of initial atomic state amplitudes for which the usual time-dependent oscillations collapses, and revivals vanish. Preparing the atom initially in this special way forces the atomic population to remain coherently trapped in this configuration. The dressed-state energy of this particular linear combination of bare-atom states is zero, so that eiEt= 1 and the population remains constant in time - as long as the applied field remains on.
Abstract The coherence phenomenon of atomic population trapping in an excited state of a medium is interesting regarding the basic physics of laser-matter interaction and applications to the generation of pulsed lasers. Here, we propose N numbers of five-level atoms as a gain medium in a weak magnetic field with three excited closely-spaced Zeeman-hyperfine energy levels and two lower energy levels. The excited levels are strongly coupled with a lower level via a coherent-field and to the ground energy level via vacuum field modes. The spontaneous emission spectrum, in general, produces four spectral lines associated with the decaying four dressed states of the atom. Based on parallel dipole moments and radiative decay rates, we find the condition of double coherent population trapping (DCPT) originating from the non-decaying states of the excited dressed states. The decay from the states generates coherence among themselves to eliminate two distinct spectral lines from the spectrum using the trapping condition. In each of the two non-decaying dressed states, 23% of the total atom population traps.
We consider the effect of quantum interference on population distribution and photon statistics of a cavity field interacting with dressed states of a strongly driven three-level atom. We analyse three coupling configurations of the cavity field to the driven atom, with the cavity frequency tuned to the outer Rabi sideband, the inner Rabi sideband and the central frequency of the 'singly dressed' three-level atom. The quantum doubly dressed states for each configuration are identified and the population distribution and photon statistics are interpreted in terms of transitions among these dressed states and their populations. We find that the population distribution depends strongly on quantum interference and the cavity damping. For the cavity field tuned to the outer or inner Rabi sidebands the cavity damping induces transitions between the dressed states which are forbidden for the ordinary spontaneous emission. Moreover, we find that in the case of the cavity field coupled to the inner Rabi sideband the population distribution is almost Poissonian with a large average number of photons that can be controlled by quantum interference. This system can be considered as a one-atom dressed-state laser with controlled intensity.
We study the effect of quantum interference on the population distribution and absorptive properties of a V-type three-level atom driven by two lasers of unequal intensities and different angular frequencies. Three coupling configurations of the lasers to the atom are analysed: (a) both lasers coupled to the same atomic transition, (b) each laser coupled to different atomic transition and (c) each laser coupled to both atomic transitions. Dressed states for the three coupling configurations are identified, and the population distribution and absorptive properties of the weaker field are interpreted in terms of transition dipole moments and transition frequencies among these dressed states. In particular, we find that in the first two cases there is no population inversion between the bare atomic states, but the population can be trapped in a superposition of the dressed states induced by quantum interference and the stronger field. We show, that the trapping of the population, which results from the cancellation of transition dipole moments, does not prevent the weaker field to be coupled to the cancelled (dark) transitions. As a result, the weaker field can be strongly amplified on transparent transitions. In the case of each laser coupled to both atomic transitions the population can be trapped in a linear superposition of the excited bare atomic states leaving the ground state unpopulated in the steady state. Moreover, we find that the absorption rate of the weaker field depends on the detuning of the strong field from the atomic resonances and the splitting between the atomic excited states. When the strong field is resonant to one of the atomic transitions a quasi-trapping effect appears in one of the dressed states. In the quasi-trapping situation all the transition dipole moments are different from zero, which allows the weaker field to be amplified on the inverted transitions. When the strong field is tuned halfway between the atomic excited states, the population is completely trapped in one of the dressed states and no amplification is found for the weaker field.
We show that an arbitrary system described by two dipole moments exhibits coherent superpositions of internal states that can be completely decoupled from the dissipative interactions (responsible for decoherence) and an external driving laser field. These superpositions, known as dark or trapping states, can be completely stable or can coherently interact with the remaining states. We examine the master equation describing the dissipative evolution of the system and identify conditions for population trapping and also classify processes that can transfer the population to these undriven and nondecaying states. It is shown that coherent transfers are possible only if the two systems are nonidentical, that is the transitions have different frequencies and/or decay rates. In particular, we find that the trapping conditions can involve both coherent and dissipative interactions, and depending on the energy level structure of the system, the population can be trapped in a linear superposition of two or more bare states, a dressed state corresponding to an eigenstate of the system plus external fields or, in some cases, in one of the excited states of the system. A comprehensive analysis is presented of the different processes that are responsible for population trapping, and we illustrate these ideas with three examples of two coupled systems: single V- and $\ensuremath{\Lambda}$-type three-level atoms and two nonidentical two-level atoms, which are known to exhibit dark states. We show that the effect of population trapping does not necessarily require decoupling of the antisymmetric superposition from the dissipative interactions. We also find that the vacuum-induced coherent coupling between the systems could be easily observed in $\ensuremath{\Lambda}$-type atoms. Our analysis of the population trapping in two nonidentical atoms shows that the atoms can be driven into a maximally entangled state which is completely decoupled from the dissipative interaction.