Polariton Localization and Dispersion Properties of Disordered Quantum Emitters in Multimode Microcavities

• URL: http://arxiv.org/abs/2209.02909v2
• Date: Wed, 31 May 2023 07:08:35 GMT
• Title: Polariton Localization and Dispersion Properties of Disordered Quantum Emitters in Multimode Microcavities
• Authors: Georg Engelhardt and Jianshu Cao
• Abstract summary: Motivated by experiments, we have solved the disordered multimode Tavis-Cummings model in the thermodynamic limit. We analyze its dispersion and localization properties.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Experiments have demonstrated that the strong light-matter coupling in polaritonic microcavities significantly enhances transport. Motivated by these experiments, we have solved the disordered multimode Tavis-Cummings model in the thermodynamic limit and used this solution to analyze its dispersion and localization properties. The solution implies that wave-vector-resolved spectroscopic quantities can be described by single-mode models, but spatially resolved quantities require the multimode solution. Nondiagonal elements of the Green's function decay exponentially with distance, which defines the coherence length. The coherence length is strongly correlated with the photon weight and exhibits inverse scaling with respect to the Rabi frequency and an unusual dependence on disorder. For energies away from the average molecular energy $E_{\text{M}}$ and above the confinement energy $E_C$, the coherence length rapidly diverges such that it exceeds the photon resonance wavelength $\lambda_0$. The rapid divergence allows us to differentiate the localized and delocalized regimes and identify the transition from diffusive to ballistic transport.

Related papers

• Stability and decay of subradiant patterns in a quantum gas with photon-mediated interactions [34.82692226532414]
  We study subradiance in a Bose-Einstein condensate positioned at the mode crossing of two optical cavities. metastable density structures that suppress emission into one cavity mode prevent relaxation to the stationary, superradiant grating. We reproduce these dynamics by a quantum mean field model, suggesting that subradiance shares characteristics with quasi-stationary states predicted in other long-range interacting systems.
  arXiv  Detail & Related papers  (2024-07-12T12:47:07Z)
• Closed-form solutions for the Salpeter equation [41.94295877935867]
  We study the propagator of the $1+1$ dimensional Salpeter Hamiltonian, describing a relativistic quantum particle with no spin. The analytical extension of the Hamiltonian in the complex plane allows us to formulate the equivalent problem, namely the B"aumer equation. This B"aumera corresponds to the Green function of a relativistic diffusion process that interpolates between Cauchy for small times and Gaussian diffusion for large times.
  arXiv  Detail & Related papers  (2024-06-26T15:52:39Z)
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• Diffraction of strongly interacting molecular Bose-Einstein condensate from standing wave light pulses [3.7650630333237194]
  We study the effects of strong inter-particle interaction on diffraction of a Bose-Einstein condensate of $6Li$ molecules created by pulses of a standing wave. For short pulses we observe the standard Kapitza-Dirac diffraction, with the contrast of the diffraction pattern strongly reduced for very large interactions. For longer pulses diffraction shows the characteristic for matter waves impinging on an array of tubes and coherent channeling transport.
  arXiv  Detail & Related papers  (2022-01-05T14:01:08Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Universal pair-polaritons in a strongly interacting Fermi gas [0.0]
  We report on experiments using molecular transitions in a strongly interacting Fermi gas, directly coupling cavity photons to pairs of atoms. The dependence of the pair-polariton spectrum on interatomic interactions is universal, independent of the transition used. This represents a magnification of many-body effects by two orders of magnitude in energy.
  arXiv  Detail & Related papers  (2021-03-03T15:06:06Z)
• Multimode-polariton superradiance via Floquet engineering [55.41644538483948]
  We consider an ensemble of ultracold bosonic atoms within a near-planar cavity, driven by a far detuned laser. We show that a strong, dispersive atom-photon coupling can be reached for many transverse cavity modes at once. The resulting Floquet polaritons involve a superposition of a set of cavity modes with a density of excitation of the atomic cloud.
  arXiv  Detail & Related papers  (2020-11-24T19:00:04Z)
• Dissipative dynamical Casimir effect in terms of the complex spectral analysis in the symplectic-Floquet space [2.7539573422730204]
  We study the dynamical Casimir effect of the optomechanical cavity interacting with one-dimensional photonic crystal. The quantum vacuum fluctuation of the intra-cavity mode is parametrically amplified by a periodic motion of the mirror boundary. We have found that the nonlocal stationary eigenmode appears when the mixing between the cavity mode and the photonic band is caused by the indirect virtual transition.
  arXiv  Detail & Related papers  (2020-05-31T21:42:21Z)
• Photon-mediated Peierls Transition of a 1D Gas in a Multimode Optical Cavity [0.0]
  Peierls instability toward a charge density wave is a canonical example of phonon-driven strongly correlated physics. We propose a method to realize an analogous photon-mediated Peierls transition, using a system of interacting Bose or Fermi atoms trapped inside a multimode confocal cavity.
  arXiv  Detail & Related papers  (2020-02-27T17:49:55Z)
• Light-dressing of a diatomic superconducting artificial molecule [0.0]
  We irradiate a superconducting artificial molecule composed of two coupled transmons with microwave light while monitoring its state via joint dispersive readout. We observe and identify a variety of single- and multiphoton transitions. We reproduce these unusual spectral features by solving the full master equation for a steady-state and attribute them to an Autler-Townes-like effect in which a single tone is simultaneously dressing the system and probing the transitions between new eigenstates.
  arXiv  Detail & Related papers  (2020-01-27T14:04:50Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.