Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 043267 |
| Fachzeitschrift | Physical Review Research |
| Jahrgang | 7 |
| Ausgabenummer | 4 |
| Publikationsstatus | Veröffentlicht - 8 Dez. 2025 |
Abstract
The transmission of light through an ensemble of two-level emitters in a one-dimensional geometry is commonly described by one of two emblematic models of quantum electrodynamics (QED): the driven-dissipative Dicke model or the Maxwell-Bloch equations. Both exhibit distinct features of phase transitions and phase separations, depending on system parameters such as optical depth and external drive strength. Here, we explore the crossover between these models via a parent spin model from bidirectional waveguide QED, by varying positional disorder among emitters. Solving mean-field equations and employing a second-order cumulant expansion for the unidirectional model—equivalent to the Maxwell-Bloch equations—we study phase diagrams, the emitter's inversion, and transmission depending on optical depth, drive strength, and spatial disorder. We find in the thermodynamic limit the emergence of phase separation with a critical value that depends on the degree of spatial order but is independent of Doppler broadening effects. Even far from the thermodynamic limit, this critical value marks a special point in the emitter's correlation landscape of the unidirectional model and is also observed as a maximum in the magnitude of inelastically transmitted photons. We conclude that a large class of effective one-dimensional systems without tight control of the emitters spatial ordering can be effectively modeled using a unidirectional waveguide approach.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Physical Review Research, Jahrgang 7, Nr. 4, 043267, 08.12.2025.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Emergence of unidirectionality and phase separation in optically dense emitter ensembles
AU - Kusmierek, Kasper J.
AU - Schemmer, Max
AU - Mahmoodian, Sahand
AU - Hammerer, Klemens
N1 - Publisher Copyright: © 2025 authors. Published by the American Physical Society.
PY - 2025/12/8
Y1 - 2025/12/8
N2 - The transmission of light through an ensemble of two-level emitters in a one-dimensional geometry is commonly described by one of two emblematic models of quantum electrodynamics (QED): the driven-dissipative Dicke model or the Maxwell-Bloch equations. Both exhibit distinct features of phase transitions and phase separations, depending on system parameters such as optical depth and external drive strength. Here, we explore the crossover between these models via a parent spin model from bidirectional waveguide QED, by varying positional disorder among emitters. Solving mean-field equations and employing a second-order cumulant expansion for the unidirectional model—equivalent to the Maxwell-Bloch equations—we study phase diagrams, the emitter's inversion, and transmission depending on optical depth, drive strength, and spatial disorder. We find in the thermodynamic limit the emergence of phase separation with a critical value that depends on the degree of spatial order but is independent of Doppler broadening effects. Even far from the thermodynamic limit, this critical value marks a special point in the emitter's correlation landscape of the unidirectional model and is also observed as a maximum in the magnitude of inelastically transmitted photons. We conclude that a large class of effective one-dimensional systems without tight control of the emitters spatial ordering can be effectively modeled using a unidirectional waveguide approach.
AB - The transmission of light through an ensemble of two-level emitters in a one-dimensional geometry is commonly described by one of two emblematic models of quantum electrodynamics (QED): the driven-dissipative Dicke model or the Maxwell-Bloch equations. Both exhibit distinct features of phase transitions and phase separations, depending on system parameters such as optical depth and external drive strength. Here, we explore the crossover between these models via a parent spin model from bidirectional waveguide QED, by varying positional disorder among emitters. Solving mean-field equations and employing a second-order cumulant expansion for the unidirectional model—equivalent to the Maxwell-Bloch equations—we study phase diagrams, the emitter's inversion, and transmission depending on optical depth, drive strength, and spatial disorder. We find in the thermodynamic limit the emergence of phase separation with a critical value that depends on the degree of spatial order but is independent of Doppler broadening effects. Even far from the thermodynamic limit, this critical value marks a special point in the emitter's correlation landscape of the unidirectional model and is also observed as a maximum in the magnitude of inelastically transmitted photons. We conclude that a large class of effective one-dimensional systems without tight control of the emitters spatial ordering can be effectively modeled using a unidirectional waveguide approach.
UR - http://www.scopus.com/inward/record.url?scp=105024061416&partnerID=8YFLogxK
U2 - 10.1103/dzpg-9wv3
DO - 10.1103/dzpg-9wv3
M3 - Article
AN - SCOPUS:105024061416
VL - 7
JO - Physical Review Research
JF - Physical Review Research
SN - 2643-1564
IS - 4
M1 - 043267
ER -