Harmonically confined 
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-electron systems coupled to light in a cavity

Malave, Justin; Aklilu, Yetmgeta S.; Beutel, Matthew; Huang, Chenhang; Varga, K.

doi:10.1103/physrevb.105.115127

Cited by 5 publications

(5 citation statements)

References 89 publications

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“…See [32] for the system with fermions and Coulomb interaction in harmonic trap. The case of a single harmonic degree-of-freedom coupled to the cavity mode has been treated in [33].…”

Section: The Model and Its Solutionmentioning

confidence: 99%

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Entanglement and correlations in an exactly-solvable model of a Bose–Einstein condensate in a cavity

Alon,

Cederbaum

2024

J. Phys. A: Math. Theor.

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An exactly solvable model of a trapped interacting Bose–Einstein condensate (BEC) coupled in the dipole approximation to a quantized light mode in a cavity is presented. The model can be seen as a generalization of the harmonic-interaction model for a trapped BEC coupled to a bosonic bath. After obtaining the ground-state energy and wavefunction in closed form, we focus on computing the correlations in the system. The reduced one-particle density matrices of the bosons and the cavity are constructed and diagonalized analytically, and the von Neumann entanglement entropy of the BEC and the cavity is also expressed explicitly as a function of the number and mass of the bosons, frequencies of the trap and cavity, and the cavity-boson coupling strength. The results allow one to study the impact of the cavity on the bosons and vice versa on an equal footing. As an application we investigate a specific case of basic interest for itself, namely, non-interacting bosons in a cavity. We find that both the bosons and the cavity develop correlations in a complementary manner while increasing the coupling between them. Whereas the cavity wavepacket broadens in Fock space, the BEC density saturates in real space. On the other hand, while the cavity depletion saturates, and hence does the BEC-cavity entanglement entropy, the BEC becomes strongly correlated and eventually increasingly fragmented. The latter phenomenon implies single-trap fragmentation of otherwise ideal bosons, where their induced long-range interaction is mediated by the cavity. Finally, as a complimentary investigation, the mean-field equations for the BEC-cavity system are solved analytically as well, and the breakdown of mean-field theory for the cavity and the bosons with increasing coupling is discussed. Further applications are envisaged.

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“…See [32] for the system with fermions and Coulomb interaction in harmonic trap. The case of a single harmonic degree-of-freedom coupled to the cavity mode has been treated in [33].…”

Section: The Model and Its Solutionmentioning

confidence: 99%

“…Naturally, the coupling G governs much of the physics in the BEC-cavity system and is discussed extensively below. Diagonalization the frequencies' matrix, see [32,33], one readily finds the two roots…”

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confidence: 99%

Entanglement and correlations in an exactly-solvable model of a Bose–Einstein condensate in a cavity

Alon,

Cederbaum

2024

J. Phys. A: Math. Theor.

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“…Since the pioneering experimental work of the Ebbesen group reported in 2012, “polaritonic chemistry” has become a rapidly emerging field of physics and chemistry opening up novel possibilities to manipulate material properties. An array of intriguing experimental and theoretical works have demonstrated that polaritonic states can dramatically alter physical and chemical properties of molecular systems. − Strong coupling has been shown to influence chemical reactivity by enhancing or suppressing available mechanisms, , and mediating new ones . Strong coupling can also enhance charge and energy transfer, modify absorption spectra ,,, and give rise to strong nonadiabatic effects in molecules ,,,,− ,,,,,,, by providing ultrafast nonradiative decay channels. ,,, …”

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confidence: 99%

Impact of Cavity on Molecular Ionization Spectra

Fábri,

Halász,

Cederbaum

et al. 2024

J. Phys. Chem. Lett.

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Ionization phenomena have been widely studied for decades. With the advent of cavity technology, the question arises how quantum light affects molecular ionization. As the ionization spectrum is recorded from the neutral ground state, it is usually possible to choose cavities which exert negligible effect on the neutral ground state, but have significant impact on the ion and the ionization spectrum. Particularly interesting are cases where the ion exhibits conical intersections between close-lying electronic states, which gives rise to substantial nonadiabatic effects. Assuming single-molecule strong coupling, we demonstrate that vibrational modes irrelevant in the absence of a cavity play a decisive role when the molecule is in the cavity. Here, dynamical symmetry breaking is responsible for the ion-cavity coupling and high symmetry enables control of the coupling via molecular orientation relative to the cavity field polarization. Significant impact on the spectrum by the cavity is found and shown to even substantially increase for less symmetric molecules.

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confidence: 99%

“…A model of electrons in cavity was recently considered in[89], where a separation of the relative coordinates from the CM and the cavity field was formulated. However, as it was also stated in Ref [89],. the coordinates used therein are linearly dependent and thus the separation of coordinates is not achieved.…”

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confidence: 99%

Cavity induced collective behavior in the polaritonic ground state

2023

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Cavity quantum electrodynamics provides an ideal platform to engineer and control light-matter interactions with polariton quasiparticles. In this work, we investigate collective phenomena in a system of many particles in a harmonic trap coupled to a homogeneous cavity vacuum field. The system couples collectively to the cavity field, through its center of mass, and collective polariton states emerge. The cavity field mediates pairwise long-range interactions and enhances the effective mass of the particles. This leads to an enhancement of localization in the matter ground state density, which features a maximum when light and matter are on resonance, and demonstrates a Dicke-like, collective behavior with the particle number. The light-matter interaction also modifies the photonic properties of the polariton system, as the ground state is populated with bunched photons. In addition, it is shown that the diamagnetic A^2A2 term is necessary for the stability of the system, as otherwise the superradiant ground state instability occurs. We demonstrate that coherent transfer of polaritonic population is possible with an external magnetic field and by monitoring the Landau-Zener transition probability.

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Harmonically confined N -electron systems coupled to light in a cavity

Cited by 5 publications

References 89 publications

Entanglement and correlations in an exactly-solvable model of a Bose–Einstein condensate in a cavity

Entanglement and correlations in an exactly-solvable model of a Bose–Einstein condensate in a cavity

Impact of Cavity on Molecular Ionization Spectra

Cavity induced collective behavior in the polaritonic ground state

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