Photon-resolved Floquet theory I: Full-Counting statistics of the driving field in Floquet systems

• URL: http://arxiv.org/abs/2407.17732v1
• Date: Thu, 25 Jul 2024 03:07:40 GMT
• Title: Photon-resolved Floquet theory I: Full-Counting statistics of the driving field in Floquet systems
• Authors: Georg Engelhardt, JunYan Luo, Victor M. Bastidas, Gloria Platero,
• Abstract summary: Photon-resolved Floquet theory (PRFT) developed to predict the statistics of the photon flux between several coherent driving modes. PRFT will pave the way for improved quantum sensing methods, for spectroscopic quantum sensing protocols, reflectometry in semiconductor nanostructures and other applications.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Floquet theory and other established semiclassical approaches are widely used methods to predict the state of externally-driven quantum systems, yet, they do not allow to predict the state of the photonic driving field. To overcome this shortcoming, the photon-resolved Floquet theory (PRFT) has been developed recently [Phys. Rev. Research 6, 013116], which deploys concepts from full-counting statistics to predict the statistics of the photon flux between several coherent driving modes. In this paper, we study in detail the scaling properties of the PRFT in the semiclassical regime. We find that there is an ambiguity in the definition of the moment-generating function, such that different versions of the moment-generating function produce the same photonic probability distribution in the semiclassical limit, and generate the same leading-order terms of the moments and cumulants. Using this ambiguity, we establish a simple expression for the Kraus operators, which describe the decoherence dynamics of the driven quantum system appearing as a consequence of the light-matter interaction. The PRFT will pave the way for improved quantum sensing methods, e.g., for spectroscopic quantum sensing protocols, reflectometry in semiconductor nanostructures and other applications, where the detailed knowledge of the photonic probability distribution is necessary.

Related papers

• The multi-state geometry of shift current and polarization [44.99833362998488]
  We employ quantum state projectors to develop an explicitly gauge-invariant formalism. We provide a simple expression for the shift current that resolves its precise relation to the moments of electronic polarization. We reveal its decomposition into the sum of the skewness of the occupied states and intrinsic multi-state geometry.
  arXiv  Detail & Related papers  (2024-09-24T18:00:02Z)
• Impact of polarization mode dispersion on entangled photon distribution [34.82692226532414]
  Polarization mode dispersion (PMD) in optical fibers poses a major challenge for maintaining the fidelity of quantum states for quantum communications. Our research proposes effective methods to mitigate PMD effects for broadband entangled photons and evaluates the impact of higher-order PMD effects.
  arXiv  Detail & Related papers  (2024-08-03T11:29:45Z)
• Entanglement of photonic modes from a continuously driven two-level system [34.50067763557076]
  We experimentally generate entangled photonic modes by continuously exciting a quantum emitter, a superconducting qubit, with a coherent drive. We show that entanglement is generated between modes extracted from the two sidebands of the resonance fluorescence spectrum. Our approach can be utilized to distribute entanglement at a high rate in various physical platforms.
  arXiv  Detail & Related papers  (2024-07-10T18:48:41Z)
• A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories [44.99833362998488]
  Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators. We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT. We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
  arXiv  Detail & Related papers  (2023-11-28T13:01:24Z)
• Photon-resolved Floquet theory II: Open quantum systems [0.0]
  We introduce a unifying framework describing the Photon-resolved Floquet theory and the standard full-counting statistics. Within this framework we analyze the two-mode Jaynes-Cummings model to demonstrate that the Photon-resolved Floquet theory and the standard full-counting statistics make consistent statistical predictions. We find that the photon-flux fluctuations diverge for vanishing dissipation, which can be related to an entanglement effect between the driven matter system and the driving field.
  arXiv  Detail & Related papers  (2023-11-02T18:00:09Z)
• Simulating Gaussian boson sampling quantum computers [68.8204255655161]
  We briefly review recent theoretical methods to simulate experimental Gaussian boson sampling networks. We focus mostly on methods that use phase-space representations of quantum mechanics. A brief overview of the theory of GBS, recent experiments and other types of methods are also presented.
  arXiv  Detail & Related papers  (2023-08-02T02:03:31Z)
• Generalised linear response theory for the full quantum work statistics [0.3277163122167433]
  We study a quantum system driven out of equilibrium via a small Hamiltonian perturbation. We find that all information about the distribution can be encoded in a single quantity.
  arXiv  Detail & Related papers  (2023-07-04T19:06:50Z)
• Photon emission statistics of a driven microwave cavity [0.0]
  We investigate theoretically the statistics of photons emitted from a microwave cavity driven resonantly by an external field. We employ a Lindblad master equation dressed with counting fields to obtain the generating function of the photon emission statistics. In the long-time limit, we analyze the factorial cumulants of the photon emission statistics and the large-deviation statistics of the emission currents.
  arXiv  Detail & Related papers  (2023-05-03T09:09:00Z)
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication [0.0]
  We show that photon-resolved Floquet theory" (PRFT) is based on two-point tomographic measurements. PRFT predicts the generation of macroscopic light-matter entanglement when atoms interact with multimode electromagnetic fields. Our results pave the way for the design of efficient quantum memories and quantum operations.
  arXiv  Detail & Related papers  (2022-07-18T12:36:27Z)
• Statistical limits for quantum networks with semiconductor entangled photon sources [1.44854099261305]
  We explore the statistical limits for entanglement swapping with sources of polarization-entangled photons from the commonly used biexciton-exciton cascade. We stress the necessity of tuning the exciton fine structure, and explain why the often observed time evolution of photonic entanglement in quantum dots is not applicable for large quantum networks.
  arXiv  Detail & Related papers  (2021-09-14T14:57:50Z)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)

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.