Cavity-QED Simulation of a Maser beyond the Mean-Field Approximation

• URL: http://arxiv.org/abs/2412.21166v1
• Date: Mon, 30 Dec 2024 18:44:16 GMT
• Title: Cavity-QED Simulation of a Maser beyond the Mean-Field Approximation
• Authors: Xinpeng Shu, Yining Jiang, Hao Wu, Mark Oxborrow,
• Abstract summary: We introduce a method for simulating, quantum mechanically, the dynamics of a maser where the strength of the magnetic field of the microwave mode being amplified by stimulated emission varies over the volume of the maser's spatially extended gain medium. We apply our methodology to a specific, experimentally measured maser based on an optically pumped crystal of pentacene-doped para-terphenyl. We demonstrate that certain distinct quantum-mechanical features exhibited by this maser's dynamics, most notably the observation of Rabi-like flopping associated with the generation of spin-photon Dicke states, can be accurately reproduced using our numerically
• Score: 1.7986199425034697
• License:
• Abstract: We here introduce a method for simulating, quantum mechanically, the dynamics of a maser where the strength of the magnetic field of the microwave mode being amplified by stimulated emission varies over the volume of the maser's spatially extended gain medium. This is very often the case in real systems. Our method generalizes the well-known Tavis-Cummings (T-C) model of cavity quantum electrodynamics (QED) to encompass quantum emitters whose coupling strengths to the maser's amplified mode vary over a distribution that can be accurately determined using an electromagnetic-field solver applied to the maser cavity's geometry and composition. We then solve our generalized T-C model to second order in cumulant expansion using publicly available Python-based software. We apply our methodology to a specific, experimentally measured maser based on an optically pumped crystal of pentacene-doped para-terphenyl. We demonstrate that certain distinct quantum-mechanical features exhibited by this maser's dynamics, most notably the observation of Rabi-like flopping associated with the generation of spin-photon Dicke states, can be accurately reproduced using our numerically solved model. The equivalent simpler model, that invokes the mean-field approximation, fails to do so. By constructing then solving for artificial (perfectly Gaussian) distributions, we go on to explore how the performance of this type of maser is affected by the spread in spin-photon coupling strengths. Our methodology thereby enables the maser's anatomy to be more rationally engineered.

Related papers

• First-Order Phase Transition of the Schwinger Model with a Quantum Computer [0.0]
  We explore the first-order phase transition in the lattice Schwinger model in the presence of a topological $theta$-term. We show that the electric field density and particle number, observables which reveal the phase structure of the model, can be reliably obtained from the quantum hardware.
  arXiv  Detail & Related papers  (2023-12-20T08:27:49Z)
• Stochastic Schr\"odinger equation approach to real-time dynamics of Anderson-Holstein impurities: an open quantum system perspective [3.105656247358225]
  We develop a framework to simulate dynamics of Anderson-Holstein impurities coupled to a continuous fermionic bath. We show that such an SSE treatment provides a middle ground between numerically expansive microscopic simulations and master equations.
  arXiv  Detail & Related papers  (2023-09-16T06:03:54Z)
• Deep Stochastic Mechanics [17.598067133568062]
  This paper introduces a novel deep-learning-based approach for numerical simulation of a time-evolving Schr"odinger equation. Our method allows us to adapt to the latent low-dimensional structure of the wave function by sampling from the Markovian diffusion.
  arXiv  Detail & Related papers  (2023-05-31T09:28:03Z)
• Engineering dynamically decoupled quantum simulations with trapped ions [0.0]
  An external drive can improve the coherence of a quantum many-body system by averaging out noise sources. It can also be used to realize models that are inaccessible in the static limit. We develop the requirements needed for a pulse sequence to decouple a quantum many-body system from an external field.
  arXiv  Detail & Related papers  (2022-09-12T18:01:05Z)
• Engineering random spin models with atoms in a high-finesse cavity [8.787025970442755]
  We realise an all-to-all interacting, disordered spin system by subjecting an atomic cloud in a cavity to a controllable light shift. By probing the low-energy excitations of the system, we explore the competition of interactions with disorder across a broad parameter range. Results present significant steps towards freely programmable cavity-mediated interactions for the design of arbitrary spin Hamiltonians.
  arXiv  Detail & Related papers  (2022-08-19T16:13:58Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Molecular spin qudits for quantum simulation of light-matter interactions [62.223544431366896]
  We show that molecular spin qudits provide an ideal platform to simulate the quantum dynamics of photon fields strongly interacting with matter. The basic unit of the proposed molecular quantum simulator can be realized by a simple dimer of a spin 1/2 and a spin $S$ transition metal ion, solely controlled by microwave pulses.
  arXiv  Detail & Related papers  (2021-03-17T15:03:12Z)
• Quantum Markov Chain Monte Carlo with Digital Dissipative Dynamics on Quantum Computers [52.77024349608834]
  We develop a digital quantum algorithm that simulates interaction with an environment using a small number of ancilla qubits. We evaluate the algorithm by simulating thermal states of the transverse Ising model.
  arXiv  Detail & Related papers  (2021-03-04T18:21:00Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics [51.15339237964982]
  "hierarchical equations of motion" (HEOM) is a powerful exact numerical approach to solve the dynamics. It has been extended and applied to problems in solid-state physics, optics, single-molecule electronics, and biological physics. We present a numerical library in Python, integrated with the powerful QuTiP platform, which implements the HEOM for both bosonic and fermionic environments.
  arXiv  Detail & Related papers  (2020-10-21T07:54:56Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

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.