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Floquet states in dissipative open quantum systems
Mesoscale and Nanoscale Physics · Submitted 6 Dec 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus, we show here that the suppression of heating is a key condition for the realization of Floquet states in both on and off-resonant conditions not only because it prevents material damage but also because it contributes to preserving coherence.
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The abstract, sentence by sentence
We theoretically investigate basic properties of nonequilibrium steady states of periodically-driven open quantum systems based on the full solution of the Maxwell-Bloch equation. In a resonantly driving condition, we find that the transverse relaxation, also known as decoherence, significantly destructs the formation of Floquet states while the longitudinal relaxation does not directly affect it. Furthermore, by evaluating the quasienergy spectrum of the nonequilibrium steady states, we demonstrate that the Rabi splitting can be observed as long as the decoherence time is as short as one third of the Rabi-cycle. Moreover, we find that Floquet states can be formed even under significant dissipation when the decoherence time is substantially shorter than the cycle of driving, once the driving field strength becomes strong enough. In an off-resonant condition, we demonstrate that the Floquet states can be realized even in weak field regimes because the system is not excited and the decoherence mechanism is not activated. Once the field strength becomes strong enough, the system can be excited by nonlinear processes and the decoherence process becomes active. As a result, the Floquet states are significantly disturbed by the environment even in the off-resonant condition. Thus, we show here that the suppression of heating is a key condition for the realization of Floquet states in both on and off-resonant conditions not only because it prevents material damage but also because it contributes to preserving coherence.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We theoretically investigate basic properties of nonequilibrium steady states of periodically-driven open quantum systems based on the full solution of the Maxwell-Bloch equation. | contribution 0.95 | 0.94 | 0.04 | asserted 0.80 |
| s1 | In a resonantly driving condition, we find that the transverse relaxation, also known as decoherence, significantly destructs the formation of Floquet states while the longitudinal relaxation does not directly affect it. | result 1.00 | 0.95 | 0.13 | asserted 1.00 |
| s2 | Furthermore, by evaluating the quasienergy spectrum of the nonequilibrium steady states, we demonstrate that the Rabi splitting can be observed as long as the decoherence time is as short as one third of the Rabi-cycle. | result 1.00 | 0.94 | 0.10 | asserted 1.00 |
| s3 | Moreover, we find that Floquet states can be formed even under significant dissipation when the decoherence time is substantially shorter than the cycle of driving, once the driving field strength becomes strong enough. | result 1.00 | 0.95 | 0.15 | asserted 1.00 |
| s4 | In an off-resonant condition, we demonstrate that the Floquet states can be realized even in weak field regimes because the system is not excited and the decoherence mechanism is not activated. | result 1.00 | 0.93 | 0.07 | asserted 1.00 |
| s5 | Once the field strength becomes strong enough, the system can be excited by nonlinear processes and the decoherence process becomes active. | result 0.75 | 0.80 | 0.04 | asserted 0.85 |
| s6 | As a result, the Floquet states are significantly disturbed by the environment even in the off-resonant condition. | result 0.95 | 0.84 | 0.07 | asserted 1.00 |
| s7 | Thus, we show here that the suppression of heating is a key condition for the realization of Floquet states in both on and off-resonant conditions not only because it prevents material damage but also because it contributes to preserving coherence. | interpretation 0.91 | 0.88 | 0.80 | asserted 1.00 |
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The paper
Original abstract
We theoretically investigate basic properties of nonequilibrium steady states of periodically-driven open quantum systems based on the full solution of the Maxwell-Bloch equation. In a resonantly driving condition, we find that the transverse relaxation, also known as decoherence, significantly destructs the formation of Floquet states while the longitudinal relaxation does not directly affect it. Furthermore, by evaluating the quasienergy spectrum of the nonequilibrium steady states, we demonstrate that the Rabi splitting can be observed as long as the decoherence time is as short as one third of the Rabi-cycle. Moreover, we find that Floquet states can be formed even under significant dissipation when the decoherence time is substantially shorter than the cycle of driving, once the driving field strength becomes strong enough. In an off-resonant condition, we demonstrate that the Floquet states can be realized even in weak field regimes because the system is not excited and the decoherence mechanism is not activated. Once the field strength becomes strong enough, the system can be excited by nonlinear processes and the decoherence process becomes active. As a result, the Floquet states are significantly disturbed by the environment even in the off-resonant condition. Thus, we show here that the suppression of heating is a key condition for the realization of Floquet states in both on and off-resonant conditions not only because it prevents material damage but also because it contributes to preserving coherence.
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How the literature uses it
4 arXiv papers cite this in 6 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 1 paper
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Other studies were reported in Refs. [ref] .
Frequency dependence of the light-induced Hall effect in dissipative graphene · Introduction · 0.99
What it cites · 3 sentences without a confident label
Cites as background 1 paper
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To smoothly connect the Maxwell-Bloch equation to the equivalent stochastic Schrödinger equation approach [ref] , which will be used to introduce the quasienergy spectrum of the driven system later, here we revisit the relation between the Maxwell-Bloch equation and the Lindblad equation [ref] .
Lecture Notes on the Theory of Open Quantum Systems · Lindblad equation · 0.85
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