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Counterdiabatic driving for periodically driven open quantum systems
Quantum Physics · Submitted 17 Mar 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Although the introduction of the counterdiabatic term eliminates the correlation, additional correlations prevent a convergence to the Gibbs distribution.
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We discuss dynamics of periodically-driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is given by the Gibbs distribution. We find that the correlation between the population part and the coherence part of the density operator is induced by an adiabatic gauge potential. Although the introduction of the counterdiabatic term eliminates the correlation, additional correlations prevent a convergence to the Gibbs distribution. We study the performance of the control by the counterdiabatic term. The system has three different scales and the performance strongly depends on the relations among their magnitudes.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss dynamics of periodically-driven open quantum systems. | background 0.85 | 0.36 | 0.02 | asserted 0.57 |
| s1 | The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is given by the Gibbs distribution. | method 0.89 | 0.32 | 0.04 | asserted 1.00 |
| s2 | We find that the correlation between the population part and the coherence part of the density operator is induced by an adiabatic gauge potential. | result 1.00 | 0.91 | 0.15 | asserted 1.00 |
| s3 | Although the introduction of the counterdiabatic term eliminates the correlation, additional correlations prevent a convergence to the Gibbs distribution. | result 0.91 | 0.81 | 0.44 | asserted 1.00 |
| s4 | We study the performance of the control by the counterdiabatic term. | contribution 1.00 | 0.85 | 0.05 | unclear 0.58 |
| s5 | The system has three different scales and the performance strongly depends on the relations among their magnitudes. | result 0.98 | 0.82 | 0.18 | asserted 1.00 |
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Original abstract
We discuss dynamics of periodically-driven open quantum systems. The time evolution of the quantum state is described by the quantum master equation and the form of the dissipator is chosen so that the instantaneous stationary state is given by the Gibbs distribution. We find that the correlation between the population part and the coherence part of the density operator is induced by an adiabatic gauge potential. Although the introduction of the counterdiabatic term eliminates the correlation, additional correlations prevent a convergence to the Gibbs distribution. We study the performance of the control by the counterdiabatic term. The system has three different scales and the performance strongly depends on the relations among their magnitudes.
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