Theory of Multi-photon Processes for Applications in Quantum Control

• URL: http://arxiv.org/abs/2509.16074v1
• Date: Fri, 19 Sep 2025 15:21:32 GMT
• Title: Theory of Multi-photon Processes for Applications in Quantum Control
• Authors: Longxiang Huang, Jacquelin Luneau, Johannes Schirk, Florian Wallner, Christian M. F. Schneider, Stefan Filipp, Klaus Liegener, Peter Rabl,
• Abstract summary: We present a general theoretical framework for evaluating multi-photon processes in periodically driven quantum systems.<n>We demonstrate the effectiveness of this framework by applying it to the study of multi-photon Rabi oscillations in a superconducting fluxonium qubit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a general theoretical framework for evaluating multi-photon processes in periodically driven quantum systems, which have been identified as a versatile tool for engineering and controlling nontrivial interactions in various quantum technology platforms. To achieve the accuracy required for such applications, the resulting effective coupling rates, as well as any drive-induced frequency shifts, must be determined with very high precision. Here, we employ degenerate Floquet perturbation theory together with a diagrammatic representation of multi-photon processes to develop a systematic and automatable approach for evaluating the effective dynamics of driven quantum systems to arbitrary orders in the drive strength. As a specific example, we demonstrate the effectiveness of this framework by applying it to the study of multi-photon Rabi oscillations in a superconducting fluxonium qubit, finding excellent agreement between our theoretical predictions and exact numerical simulations, even in parameter regimes where previously known methods are no longer applicable.

Related papers

• Resource-efficient universal photonic processor based on time-multiplexed hybrid architectures [0.29316801942271303]
  We bridge the gap between theoretical proposals and state-of-the-art experimental capabilities by providing the recipe for the implementation of a universal photonic processor in discrete-time quantum walks.<n>We show that our interface is highly scalable and resource-efficient due to the hybrid encoding consisting of multiple degrees of freedom.
  arXiv  Detail & Related papers  (2025-09-26T16:03:53Z)
• Approaching the Multiparameter Quantum Cramér-Rao Bound via Classical Correlation and Entangling Measurements [1.351003538856344]
  We propose a scheme termed local operation with entangling measurements (LOEM) strategy.<n>We experimentally validate this scheme using a quantum photonic system.
  arXiv  Detail & Related papers  (2025-09-12T12:40:13Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling [44.99833362998488]
  A key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient.<n>We develop a single- parameter scaling theory for the spectral statistics in this scenario, which embodies exact self-similarity of the spectral correlations along the complete scrambling dynamics.<n>We establish that scaling predictions are matched by a privileged process and serve as bounds for other dynamical scrambling scenarios, allowing one to quantify inefficient or incomplete scrambling on all time scales.
  arXiv  Detail & Related papers  (2023-10-17T15:41:50Z)
• 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)
• Robust Hamiltonian Engineering for Interacting Qudit Systems [50.591267188664666]
  We develop a formalism for the robust dynamical decoupling and Hamiltonian engineering of strongly interacting qudit systems. We experimentally demonstrate these techniques in a strongly-interacting, disordered ensemble of spin-1 nitrogen-vacancy centers.
  arXiv  Detail & Related papers  (2023-05-16T19:12:41Z)
• Efficient High-Fidelity Flying Qubit Shaping [0.0]
  We formulate a theory for stimulated Raman emission which is applicable to a wide range of physical systems. We find the upper bound for the photonic pulse emission efficiency of arbitrary matter qubit states for imperfect emitters. Protocols for the production of time-bin encoding and spin-photon entanglement are proposed.
  arXiv  Detail & Related papers  (2022-12-21T17:19:39Z)
• Tunable photon-mediated interactions between spin-1 systems [68.8204255655161]
  We show how to harness multi-level emitters with several optical transitions to engineer photon-mediated interactions between effective spin-1 systems. Our results expand the quantum simulation toolbox available in cavity QED and quantum nanophotonic setups.
  arXiv  Detail & Related papers  (2022-06-03T14:52:34Z)
• Quantum effects beyond mean-field treatment in quantum optics [5.148894494637909]
  Mean-field treatment (MFT) is frequently applied to approximately predict the dynamics of quantum optics systems. Here, we provide a general and systematic theoretical framework based on the perturbation theory in company with the MFT to capture unanticipated quantum effects. Our work clearly reveals the attendant quantum effects under mean-field treatment and provides a more precise theoretical framework to describe quantum optics systems.
  arXiv  Detail & Related papers  (2021-11-29T15:45:24Z)
• 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)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• Theoretical methods for ultrastrong light-matter interactions [91.3755431537592]
  This article reviews theoretical methods developed to understand cavity quantum electrodynamics in the ultrastrong-coupling regime. The article gives a broad overview of the recent progress, ranging from analytical estimate of ground-state properties to proper computation of master equations. Most of the article is devoted to effective models, relevant for the various experimental platforms in which the ultrastrong coupling has been reached.
  arXiv  Detail & Related papers  (2020-01-23T18:09:10Z)

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.