Quantum Lotka-Volterra dynamics

• URL: http://arxiv.org/abs/2408.01726v1
• Date: Sat, 3 Aug 2024 09:50:03 GMT
• Title: Quantum Lotka-Volterra dynamics
• Authors: Yuechun Jiao, Yu Zhang, Jingxu Bai, Weilun Jiang, Yunhui He, Heng Shen, Suotang Jia, Jianming Zhao, C. Stuart Adams,
• Abstract summary: Physical systems that display competitive non-linear dynamics have played a key role in the development of mathematical models of Nature. Here, we demonstrate predator-prey dynamics by laser excitation and ionisation of Rydberg atoms in a room temperature vapour cell.
• Score: 2.399579126929696
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Physical systems that display competitive non-linear dynamics have played a key role in the development of mathematical models of Nature. Important examples include predator-prey models in ecology, biology, consumer-resource models in economics, and reaction-diffusion equations in chemical reactions. However, as real world systems are embedded in complex environments, where it is difficult or even impossible to control external parameters, quantitative comparison between measurements and simple models remains challenging. This motivates the search for competitive dynamics in isolated physical systems, with precise control. An ideal candidate is laser excitation in dilute atomic ensembles. For example, atoms in highly-excited Rydberg states display rich many-body dynamics including ergodicity breaking, synchronisation and time crystals. Here, we demonstrate predator-prey dynamics by laser excitation and ionisation of Rydberg atoms in a room temperature vapour cell. Ionisation of excited atoms produce electric fields that suppress further excitation. This starves the ionisation process of resource, giving rise to predator-prey dynamics. By comparing our results to the Lotka-Volterra model, we demonstrate that as well applications in non-linear dynamics, our experiment has applications in metrology, and remote sensing of localised plasmas.

Related papers

• Trapped-Ion Quantum Simulation of Electron Transfer Models with Tunable Dissipation [1.159879739037684]
  We experimentally simulate a paradigmatic model of molecular electron transfer using a multi-species trapped-ion crystal. We observe the real-time dynamics of the spin excitation, measuring the transfer rate in several regimes of adiabaticity and relaxation dynamics.
  arXiv  Detail & Related papers  (2024-05-16T18:03:17Z)
• A conditional latent autoregressive recurrent model for generation and forecasting of beam dynamics in particle accelerators [46.348283638884425]
  We propose a two-step unsupervised deep learning framework named as Latent Autoregressive Recurrent Model (CLARM) for learning dynamics of charged particles in accelerators. The CLARM can generate projections at various accelerator sampling modules by capturing and decoding the latent space representation. The results demonstrate that the generative and forecasting ability of the proposed approach is promising when tested against a variety of evaluation metrics.
  arXiv  Detail & Related papers  (2024-03-19T22:05:17Z)
• TANGO: Time-Reversal Latent GraphODE for Multi-Agent Dynamical Systems [43.39754726042369]
  We propose a simple-yet-effective self-supervised regularization term as a soft constraint that aligns the forward and backward trajectories predicted by a continuous graph neural network-based ordinary differential equation (GraphODE) It effectively imposes time-reversal symmetry to enable more accurate model predictions across a wider range of dynamical systems under classical mechanics. Experimental results on a variety of physical systems demonstrate the effectiveness of our proposed method.
  arXiv  Detail & Related papers  (2023-10-10T08:52:16Z)
• Halide perovskite artificial solids as a new platform to simulate collective phenomena in doped Mott insulators [43.55994393060723]
  We introduce artificial lattices made of lead halide perovskite nanocubes as a new platform to simulate and investigate the physics of correlated quantum materials. We show that, at large photo-doping, the exciton gas undergoes an excitonic Mott transition, which fully realizes the magnetic-field-driven insulator-to-metal transition described by the Hubbard model. Our results demonstrate that time-resolved experiments span a parameter region of the Hubbard model in which long-range and phase-coherent orders emerge out of a doped Mott insulating phase.
  arXiv  Detail & Related papers  (2023-03-15T17:38:51Z)
• Conditional Generative Models for Simulation of EMG During Naturalistic Movements [45.698312905115955]
  We present a conditional generative neural network trained adversarially to generate motor unit activation potential waveforms. We demonstrate the ability of such a model to predictively interpolate between a much smaller number of numerical model's outputs with a high accuracy.
  arXiv  Detail & Related papers  (2022-11-03T14:49:02Z)
• 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)
• Environmental Collapse Models [0.0]
  In principle, isolated systems comprising only massive particles could evolve unitarily indefinitely in such models. Since photons and gravitons are ubiquitous and scatter from massive particles, dynamical collapses of the former will effectively induce collapses of the latter. We argue that these environmental collapse models may be consistent with quantum experiments on microscopic systems.
  arXiv  Detail & Related papers  (2022-06-06T16:11:19Z)
• Generalized Discrete Truncated Wigner Approximation for Nonadiabtic Quantum-Classical Dynamics [0.0]
  We introduce a linearized semiclassical method, the generalized discrete truncated Wigner approximation (GDTWA) GDTWA samples the electron degrees of freedom in a discrete phase space, and forbids an unphysical growth of electronic state populations. Our results suggest that the method can be very adequate to treat challenging nonadiabatic dynamics problems in chemistry and related fields.
  arXiv  Detail & Related papers  (2021-04-14T21:53:35Z)
• 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)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• Spin transport in a tunable Heisenberg model realized with ultracold atoms [0.0]
  We implement the Heisenberg XXZ model with adjustable anisotropy and study spin transport far from equilibrium. For positive anisotropies, the dynamics ranges from anomalous super-diffusion to sub-diffusion depending on anisotropy. For negative anisotropies, we observe a crossover in the time domain from ballistic to diffusive transport.
  arXiv  Detail & Related papers  (2020-05-19T16:08:31Z)

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.