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Physical Review A

Thermal-light-induced dynamics: Coherence and revivals in V -type and molecular Jaynes-Cummings systems

David Avisar, A. D. Wilson‐Gordon

Published Mar 24, 2016• 4 citations
Publisher

Abstract

We examine the interaction of thermal light with matter with emphasis on two aspects that have not been considered before. By employing a fully quantized Jaynes-Cummings--type interaction model on a $V$-type three-level system, we show that multimode thermal light induces coherence in the excited material states. This is in contrast to previous studies that suggest thermal light cannot induce coherence in material systems. We also show that the ratio between the field detuning and the interaction constant has a significant influence on the characteristic time-dependent dynamics. In particular, for some ratio regimes, the thermal light induces dynamics with a ``coherentlike'' collapse and revivals pattern rather than the familiar pattern. We then extend the Jaynes-Cummings model to a two-state Born-Oppenheimer potential energy surface molecular system where the internal vibrational degrees of freedom are fully taken into account. The matter-field bipartite system is represented, and propagated, in the full electronic bond-coordinate Fock product space. We show that single-mode thermal light induces extensive excited-state vibrational coherence in the molecule that, when observed in coordinate space, exhibits wave-packet-like dynamics. The molecular Jaynes-Cummings model we propose is useful for cavity molecular dynamics simulations.

DOI
10.1103/physreva.93.033843

Related papers

Reply to “Comment on ‘Thermal-light-induced dynamics: Coherence and revivals in V -type and molecular Jaynes-Cummings systems’ ”

David Avisar, A. D. Wilson‐Gordon

We recently presented an extended Jaynes-Cummings model for the interaction of a realistic molecular system of two Born-Oppenheimer potential energy surfaces and a quantized electromagnetic field [Avisar and Wilson-Gordon, Phys. Rev. A 93, 033843 (2016)]. We studied the interaction of this molecular model, and also a prototype $V$-type system, with single-mode and multimode thermal states of the field, characterized by low and high average photon number $\overline{n}$. Among our results, we showed that the three-mode thermal state of the field induces excited-state material coherence and that a thermal state of high $\overline{n}$ can induce ``coherentlike'' collapse and revival patterns. The preceding Comment by Dodin and Brumer [Phys. Rev. A 95, 067801 (2017)] criticizes our work for allegedly drawing conclusions regarding sunlight-induced dynamics from our results, and for unjustified citation of previous work. However, we think the Comment fails to represent the contents of our paper, and we therefore reply to it. We show it is based on misinterpretation of our paper.

Physical Review A•Jun 28, 2017•0 citations

Thermal-Light-Induced Coherent Dynamics in Atoms and Molecules -- an Exact Quantum Mechanical Treatment

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The question of whether sunlight induces coherent dynamics in biological systems is under debate. Here we show, on the basis of an exact fully quantum mechanical treatment, that thermal light induces excited-state coherences in matter similar to those induced by a coherent state. We demonstrate the phenomenon on a V-type model system and a two-state Born-Oppenheimer molecular system. Remarkably, wavepacket-like dynamics is induced in the excited molecular potential-energy surface.

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Comment on “Thermal-light-induced dynamics: Coherence and revivals in V -type and molecular Jaynes-Cummings systems”

Amro Dodin, Paul W. Brumer

Recent numerical and analytical results have been obtained for the dynamics of a $V$-type system, and of a model molecular system, interacting with the thermal states of a cavity with a single mode or with a few discrete modes [D. Avisar and A. D. Wilson-Gordon, Phys. Rev. A 93, 033843 (2016)]. The authors speculate that these results may be relevant to excitation with natural incoherent radiation, such as sunlight, which has a continuous spectrum. We claim that this is incorrect, as are their comments about prior work on natural incoherent radiation that does properly deal with a continuous spectrum. Specifically, while their results obtained for the Jaynes-Cummings systems may be of interest for excitation by thermal states of cavities with a few modes, the discrete nature of their field modes produces dynamics that are fundamentally different from those induced by natural sunlight. Hence, we show here that the criticisms leveled in their paper regarding prior treatments that dealt with the continuous spectrum of natural incoherent radiation, as well as their speculation that excitation with continuous-mode thermal radiation can induce long-lived molecular coherences, are incorrect.

Physical Review A•Jun 28, 2017•1 citation

Glauber-Lachs version of the Jaynes-Cummings interaction of a two-level atom

M. Venkata Satyanarayana, M. Vijayakumar, P. M. Alsing

The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of a radiation field prepared in a Glauber-Lachs state is investigated to study the development of seemingly chaotic oscillations of the atomic inversion from a regular collapse-and-revival phenomenon, as the field statistics is changed from the coherent state to the thermal state. The effect of thermal photons on the coherent light is shown to be striking: Both the photon distribution as well as the atomic inversion are highly sensitive to even a very small addition of thermal photons to an initially coherent radiation field. We also compare the collapse and revival occurring in the micromaser case with the Glauber-Lachs version of the Jaynes-Cummings model.

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Fuli Li, Shaoyan Gao

The dynamics of the driven Jaynes-Cummings model where a two-level atom is coupled to a single mode of cavity fields and is driven by an external coherent field is investigated. We find that in this model quantum collapse and revivals of the atomic population inversion and squeezing of the cavity field can be generated from a thermal photon state. We also notice that the squeezing is very sensitive to the mean number of thermal photons initially in the cavity, but the quantum collapse and revivals are not. The influence of the amplitude of the driving field and various detuning parameters on the nonclassical effects is discussed. The result shows that one can use the external field to control nonclassical effects in the Jaynes-Cummings model.

Physical Review A•Sep 13, 2000•26 citations

Cavity-induced temperature control of a two-level system

Hendrik Weimer, Günter Mahler A

We consider a two-level atom interacting with a single mode of the electromagnetic field in a cavity within the Jaynes-Cummings model. Initially, the atom is thermal while the cavity is in a coherent state. The atom interacts with the cavity field for a fixed time. After removing the atom from the cavity and applying a laser pulse the atom will be in a thermal state again. Depending on the interaction time with the cavity field the final temperature can be varied over a large range. We discuss how this method can be used to cool the internal degrees of freedom of atoms and create heat baths suitable for studying thermodynamics at the nanoscale.

arXiv:0711.4705•Physical Review A•Nov 15, 2007•9 citations
We examine the interaction of thermal light with matter with emphasis on two aspects that have not been considered before. By employing a fully quantized Jaynes-Cummings--type interaction model on a VVV-type three-level system, we show that multimode thermal light induces coherence in the excited material states. This is in contrast to previous studies that suggest thermal light cannot induce coherence in material systems. We also show that the ratio between the field detuning and the interaction constant has a significant influence on the characteristic time-dependent dynamics. In particular, for some ratio regimes, the thermal light induces dynamics with a ``coherentlike'' collapse and revivals pattern rather than the familiar pattern. We then extend the Jaynes-Cummings model to a two-state Born-Oppenheimer potential energy surface molecular system where the internal vibrational degrees of freedom are fully taken into account. The matter-field bipartite system is represented, and propagated, in the full electronic bond-coordinate Fock product space. We show that single-mode thermal light induces extensive excited-state vibrational coherence in the molecule that, when observed in coordinate space, exhibits wave-packet-like dynamics. The molecular Jaynes-Cummings model we propose is useful for cavity molecular dynamics simulations.
We recently presented an extended Jaynes-Cummings model for the interaction of a realistic molecular system of two Born-Oppenheimer potential energy surfaces and a quantized electromagnetic field [Avisar and Wilson-Gordon, Phys. Rev. A 93, 033843 (2016)]. We studied the interaction of this molecular model, and also a prototype VVV-type system, with single-mode and multimode thermal states of the field, characterized by low and high average photon number n‾\overline{n}n. Among our results, we showed that the three-mode thermal state of the field induces excited-state material coherence and that a thermal state of high n‾\overline{n}n can induce ``coherentlike'' collapse and revival patterns. The preceding Comment by Dodin and Brumer [Phys. Rev. A 95, 067801 (2017)] criticizes our work for allegedly drawing conclusions regarding sunlight-induced dynamics from our results, and for unjustified citation of previous work. However, we think the Comment fails to represent the contents of our paper, and we therefore reply to it. We show it is based on misinterpretation of our paper.
Recent numerical and analytical results have been obtained for the dynamics of a VVV-type system, and of a model molecular system, interacting with the thermal states of a cavity with a single mode or with a few discrete modes [D. Avisar and A. D. Wilson-Gordon, Phys. Rev. A 93, 033843 (2016)]. The authors speculate that these results may be relevant to excitation with natural incoherent radiation, such as sunlight, which has a continuous spectrum. We claim that this is incorrect, as are their comments about prior work on natural incoherent radiation that does properly deal with a continuous spectrum. Specifically, while their results obtained for the Jaynes-Cummings systems may be of interest for excitation by thermal states of cavities with a few modes, the discrete nature of their field modes produces dynamics that are fundamentally different from those induced by natural sunlight. Hence, we show here that the criticisms leveled in their paper regarding prior treatments that dealt with the continuous spectrum of natural incoherent radiation, as well as their speculation that excitation with continuous-mode thermal radiation can induce long-lived molecular coherences, are incorrect.
The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of a radiation field prepared in a Glauber-Lachs state is investigated to study the development of seemingly chaotic oscillations of the atomic inversion from a regular collapse-and-revival phenomenon, as the field statistics is changed from the coherent state to the thermal state. The effect of thermal photons on the coherent light is shown to be striking: Both the photon distribution as well as the atomic inversion are highly sensitive to even a very small addition of thermal photons to an initially coherent radiation field. We also compare the collapse and revival occurring in the micromaser case with the Glauber-Lachs version of the Jaynes-Cummings model.
The dynamics of the driven Jaynes-Cummings model where a two-level atom is coupled to a single mode of cavity fields and is driven by an external coherent field is investigated. We find that in this model quantum collapse and revivals of the atomic population inversion and squeezing of the cavity field can be generated from a thermal photon state. We also notice that the squeezing is very sensitive to the mean number of thermal photons initially in the cavity, but the quantum collapse and revivals are not. The influence of the amplitude of the driving field and various detuning parameters on the nonclassical effects is discussed. The result shows that one can use the external field to control nonclassical effects in the Jaynes-Cummings model.
We consider a two-level atom interacting with a single mode of the electromagnetic field in a cavity within the Jaynes-Cummings model. Initially, the atom is thermal while the cavity is in a coherent state. The atom interacts with the cavity field for a fixed time. After removing the atom from the cavity and applying a laser pulse the atom will be in a thermal state again. Depending on the interaction time with the cavity field the final temperature can be varied over a large range. We discuss how this method can be used to cool the internal degrees of freedom of atoms and create heat baths suitable for studying thermodynamics at the nanoscale.