Strong interactions and biexcitons in a polariton mixture

Bastarrachea-Magnani, Miguel A.; Camacho-Guardián, Arturo; Wouters, Michiel; Bruun, Georg M.

doi:10.1103/physrevb.100.195301

Cited by 22 publications

(18 citation statements)

References 47 publications

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“…[9,65,66] and also analyzed in Refs. [67,68]. Finally, the microscopic theory of exciton-polaritons for the case of Coulomb interactions developed in Ref.…”

Section: Discussionmentioning

confidence: 99%

Theory of polariton-electron interactions in semiconductor microcavities

Li,

Bleu,

Levinsen

et al. 2020

Preprint

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We develop a microscopic description of an electron-doped two-dimensional semiconductor embedded in a microcavity. Specifically, we investigate the interactions between exciton-polaritons and electrons for the case where the interactions between charges are strongly screened and the system is spin polarized. As a starting point, we obtain an analytic expression for the exciton-polariton wave function, and we relate the microscopic parameters of the light-matter system to experimentally measurable quantities, such as the Rabi coupling and the cavity photon frequency. We then derive the polariton-electron interaction within the standard Born approximation and compare it with the exact polariton-electron scattering T matrix that we obtain from a diagrammatic approach that has proven highly successful in the context of nuclear physics and ultracold atomic gases. In particular, we show that the Born approximation provides an upper bound on the polariton-electron coupling strength at vanishing momentum. Using our exact microscopic calculation, we demonstrate that polariton-electron scattering can be strongly enhanced compared to the exciton-electron case, which is the opposite of that expected from the Born approximation. We furthermore expose a resonancelike peak at scattering momenta near the polariton inflection point, whose size is set by the strength of the light-matter coupling. Our results arise from the non-Galilean nature of the polariton system and should thus be applicable to a range of semiconductor microcavities such as GaAs quantum wells and atomically thin materials.

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“…[9,65,66] and also analyzed in Refs. [67,68]. Finally, the microscopic theory of exciton-polaritons for the case of Coulomb interactions developed in Ref.…”

Section: Discussionmentioning

confidence: 99%

Theory of polariton-electron interactions in semiconductor microcavities

Li,

Bleu,

Levinsen

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The electron energy is taken with respect to the Fermi energy of the 2DEG, i.e., ξ ek = ε ek − ε F . In Equation ( 12), we have introduced the exciton-electron scattering matrix given by [79][80][81] T…”

Section: The Ladder Approximationmentioning

confidence: 99%

“…In deriving Equation ( 13) we have assumed a momentum independent exciton-electron interaction, which is accurate for k F a x B 1, where a x B is the Bohr radius giving the typical size of the exciton. Additionally, the bare coupling strength has been expressed in terms of the energy ε T of the trion in the absence of the 2DEG as ReΠ V (0, ε T ) = T −1 0 [79][80][81]. At the level of a single impurity and zero temperature, the T -matrix formalism is equivalent to Chevy's variational ansatz [67], which has recently been employed to explore Fermi polaron-polaritons in TMD monolayers [49].…”

Section: The Ladder Approximationmentioning

confidence: 99%

Polaritons in an Electron Gas—Quasiparticles and Landau Effective Interactions

Bastarrachea-Magnani

Thomsen

Camacho-Guardián

et al. 2021

Atoms

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Two-dimensional semiconductors inside optical microcavities have emerged as a versatile platform to explore new hybrid light–matter quantum states. A strong light–matter coupling leads to the formation of exciton-polaritons, which in turn interact with the surrounding electron gas to form quasiparticles called polaron-polaritons. Here, we develop a general microscopic framework to calculate the properties of these quasiparticles, such as their energy and the interactions between them. From this, we give microscopic expressions for the parameters entering a Landau theory for the polaron-polaritons, which offers a simple yet powerful way to describe such interacting light–matter many-body systems. As an example of the application of our framework, we then use the ladder approximation to explore the properties of the polaron-polaritons. Furthermore, we show that they can be measured in a non-demolition way via the light transmission/reflection spectrum of the system. Finally, we demonstrate that the Landau effective interaction mediated by electron-hole excitations is attractive leading to red shifts of the polaron-polaritons. Our work provides a systematic framework to study exciton-polaritons in electronically doped two-dimensional materials such as novel van der Waals heterostructures.

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“…( 13) we have assumed a momentum independent exciton-electron interaction, which is accurate for k F a x B ≪ 1, where a x B is the Bohr radius giving the typical size of the exciton. Also, the bare coupling strength has been expressed in terms of the energy ε T of the trion in the absence of the 2DEG as ReΠ V (0, ε T ) = T −1 0 [79][80][81]. At the level of a single impurity and zero temperature, the T -matrix formalism is equivalent to Chevy's variational ansatz [67], which has recently been employed to explore Fermi polaron-polaritons in TMD monolayers [49].…”

Section: The Ladder Approximationmentioning

confidence: 99%

Polaritons in an electron gas -- quasiparticles and Landau effective interactions

Bastarrachea-Magnani,

Thomsen,

Camacho-Guardian

et al. 2021

Preprint

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Two-dimensional semiconductors inside optical microcavities have emerged as a versatile platform to explore new hybrid light-matter quantum states. The strong light-matter coupling leads to the formation of exciton-polaritons, which in turn interact with the surrounding electron gas to form quasiparticles called polaron-polaritons. Here, we develop a general microscopic framework to calculate the properties of these quasiparticles such as their energy and the interactions between them. From this, we give microscopic expressions for the parameters entering a Landau theory for the polaron-polaritons, which offers a simple yet powerful way to describe such interacting lightmatter many-body systems. As an example of the application of our framework, we then use the ladder approximation to explore the properties of the polaron-polaritons. We furthermore show that they can be measured in a non-demolition way via the light transmission/reflection spectrum of the system. Finally, we demonstrate that the Landau effective interaction mediated by electronhole excitations is attractive leading to red shifts of the polaron-polaritons. Our work provides a systematic framework to study exciton-polaritons in electronically doped two-dimensional materials such as novel van der Waals heterostructures.

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Strong interactions and biexcitons in a polariton mixture

Cited by 22 publications

References 47 publications

Theory of polariton-electron interactions in semiconductor microcavities

Theory of polariton-electron interactions in semiconductor microcavities

Polaritons in an Electron Gas—Quasiparticles and Landau Effective Interactions

Polaritons in an electron gas -- quasiparticles and Landau effective interactions

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