Beyond the Tavis-Cummings model: revisiting cavity QED with atomic ensembles

• URL: http://arxiv.org/abs/2107.04583v1
• Date: Fri, 9 Jul 2021 17:55:06 GMT
• Title: Beyond the Tavis-Cummings model: revisiting cavity QED with atomic ensembles
• Authors: Martin Blaha, Aisling Johnson, Arno Rauschenbeutel, J\"urgen Volz
• Abstract summary: The interaction of an ensemble of $N$ two-level atoms with a single mode electromagnetic field is described by the Tavis-Cummings model. Here, we show that this is only justified if the effective scattering rate into non-cavity modes is negligible. We show that the predictions of our model can differ quantitatively and even qualitatively from those obtained with the Tavis-Cummings model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The interaction of an ensemble of $N$ two-level atoms with a single mode electromagnetic field is described by the Tavis-Cummings model. There, the collectively enhanced light-matter coupling strength is given by $g_N = \sqrt{N} \bar{g}_1$, where $\bar{g}_1$ is the ensemble-averaged single-atom coupling strength. Formerly, this model has been employed to describe and to analyze numerous cavity-based experiments. Here, we show that this is only justified if the effective scattering rate into non-cavity modes is negligible compared to the cavity's free-spectral range. In terms of experimental parameters, this requires that the optical depth of the ensemble is low, a condition that is violated in several state-of-the-art experiments. We give quantitative conditions for the validity of the Tavis-Cummings model and derive a more general Hamiltonian description that takes into account the cascaded interaction of the photons with all consecutive atoms. We show that the predictions of our model can differ quantitatively and even qualitatively from those obtained with the Tavis-Cummings model. Finally, we present experimental data, for which the deviation from the predictions of the Tavis-Cummings model is apparent. Our findings are relevant for all experiments in which optically dense ensembles of quantum emitters are coupled to an optical resonator.

Related papers

• Tripartite entanglement from experimental data: $B^0\to K^{*0}μ^+μ^-$ as a case study [49.1574468325115]
  We develop an angular analysis based on the reconstruction of the helicity amplitudes from dedicated experimental data corresponding to the tripartite state composed by one qutrit and two qubits. As an application of our analysis, we performed a full quantum tomography of the final state in the $B0to K*0mu+mu-$ decays using data recorded by LHCb collaboration.
  arXiv  Detail & Related papers  (2024-09-19T18:10:14Z)
• Coupled states of cold 174-Yb atoms in a high-finesse cavity [0.0]
  We experimentally and theoretically study the formation of dressed states emerging from strong collective coupling of the narrow intercombination line of Yb atoms to a single mode of a high-finesse optical cavity.
  arXiv  Detail & Related papers  (2024-04-18T13:27:42Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Quantum mechanical modeling of the multi-stage Stern$\unicode{x2013}$Gerlach experiment conducted by Frisch and Segrè [2.091322528026356]
  The Frisch and Segre experiment has been modeled analytically by Rabiana without the nuclear effect and subsequently revised by the hyperfine interaction. We solve the standard quantum mechanical model, via the von Neumann equation, including the hyperfine interaction time for the spin. Non-standard variants that improve the match are explored for discussion.
  arXiv  Detail & Related papers  (2022-10-20T19:37:28Z)
• Spectral Engineering of Cavity-Protected Polaritons in an Atomic Ensemble with Controlled Disorder [0.0]
  We observe the transition from a disordered regime to a polaritonic one with only two resonances. We realize a dynamically modulated Tavis-Cumming model to produce a comb of narrow polariton resonances protected from the disorder.
  arXiv  Detail & Related papers  (2022-08-25T13:40:32Z)
• Dispersive readout of molecular spin qudits [68.8204255655161]
  We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
  arXiv  Detail & Related papers  (2021-09-29T18:00:09Z)
• Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory [58.720142291102135]
  Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics. One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear. We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
  arXiv  Detail & Related papers  (2021-07-27T18:10:08Z)
• 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)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• Single Quantum Emitter Dicke Enhancement [0.0]
  Coupling identical emitters to the same field mode is well-established method to enhance light matter interaction. We show that an effective Jaynes-Cummings model emerges, with a boosted coupling constant of order $sqrtN$. Our findings match up very well with recent broadband plasmonic nanoresonator strong-coupling experiments.
  arXiv  Detail & Related papers  (2020-10-23T18:00:02Z)
• Driving Quantum Correlated Atom-Pairs from a Bose-Einstein Condensate [0.0]
  We investigate one such control protocol that demonstrates the resonant amplification of quasimomentum pairs from a Bose-Einstein condensate. A classical external field that excites pairs of particles with the same energy but opposite momenta is reminiscent of the coherently-driven nonlinearity in a parametric amplifier crystal.
  arXiv  Detail & Related papers  (2020-01-08T00:11:26Z)

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.