Nonadiabatic ImF instanton rate theory

• URL: http://arxiv.org/abs/2506.20852v1
• Date: Wed, 25 Jun 2025 21:49:50 GMT
• Title: Nonadiabatic ImF instanton rate theory
• Authors: Rhiannon A. Zarotiadis, Jeremy O. Richardson,
• Abstract summary: Semi instanton theory captures nuclear quantum effects such as tunnelling in chemical reactions.<n>It was originally derived from two different starting points, the flux correlation function and the ImF premise.<n>We introduce a rigorous nonadiabatic ring-polymer instanton rate theory in the flux-correlation function framework.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Semiclassical instanton theory captures nuclear quantum effects such as tunnelling in chemical reactions. It was originally derived from two different starting points, the flux correlation function and the ImF premise. In pursuit of a nonadiabatic rate theory, a number of methods have been proposed; almost all based on the less rigorous ImF premise. Only recently, we introduced a rigorous nonadiabatic ring-polymer instanton rate theory in the flux-correlation function framework which successfully bridges from the Born-Oppenheimer to the golden-rule limit. Here, we examine the previous ImF-based attempts and conclude that they do not capture the two limits correctly. In particular, we will highlight how the last in a series of developments, called mean-field ring-polymer instanton theory, breaks down in the golden-rule limit. We develop a new nonadiabatic ImF rate theory to remedy the failings of previous attempts while taking inspiration from them. We also consider the crossover from deep tunnelling to a high-temperature rate theory. We test our new nonadiabatic ImF theory on a range of models including asymmetric and multidimensional systems and we show reliable results for the deep-tunnelling regime but limitations for the related high-temperature rate theory.

Related papers

• Nonadiabatic ring-polymer instanton rate theory: a generalised dividing-surface approach [0.0]
  Ring-polymer instanton theories offer a promising approach to solve this problem.<n>We develop a generalised nonadiabatic instanton rate theory that bridges between two limits.<n>The resulting theory approximates the quantum-mechanically exact rates well for the systems studied.
  arXiv  Detail & Related papers  (2025-05-07T19:47:59Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Confinement in 1+1D $\mathbb{Z}_2$ Lattice Gauge Theories at Finite Temperature [0.0]
  We study confinement in a simple one-dimensional $mathbbZ$ lattice gauge theory at finite temperature and filling. Our results shed new light on confinement at finite temperature from an experimentally relevant standpoint.
  arXiv  Detail & Related papers  (2023-08-16T18:00:01Z)
• End-To-End Latent Variational Diffusion Models for Inverse Problems in High Energy Physics [61.44793171735013]
  We introduce a novel unified architecture, termed latent variation models, which combines the latent learning of cutting-edge generative art approaches with an end-to-end variational framework. Our unified approach achieves a distribution-free distance to the truth of over 20 times less than non-latent state-of-the-art baseline.
  arXiv  Detail & Related papers  (2023-05-17T17:43:10Z)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Gravity-related collapse of the wave function and spontaneous heating: revisiting the experimental bounds [0.0]
  We argue that the the parameter-free version of the DP model is close to be ruled out by standard heat leak measurements at ultralow temperature. This result would strengthen a recent claim of exclusion inferred by spontaneous x-ray emission experiments.
  arXiv  Detail & Related papers  (2021-09-30T10:21:42Z)
• Classical simulation and theory of quantum annealing in a thermal environment [0.0]
  We study quantum annealing in the quantum Ising model coupled to a thermal environment. This quasistatic and isothermal evolution, however, fails near the end of annealing because the relaxation time grows infinitely. We propose experiments on the D-Wave quantum annealer.
  arXiv  Detail & Related papers  (2021-02-04T12:19:52Z)
• Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow. First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric. We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
  arXiv  Detail & Related papers  (2020-10-29T06:15:30Z)
• Is entanglement a probe of confinement? [0.0]
  We show that entanglement measures are unable to discriminate confining theories from non-confining ones with a mass gap. We also examine flows passing close to a fixed point at intermediate energy scales and find that the holographic entanglement entropy, the mutual information, and the F-functions for strips and disks quantitatively match the conformal values for a range of energies.
  arXiv  Detail & Related papers  (2020-10-19T11:27:32Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Statistical Floquet prethermalization of the Bose-Hubbard model [0.0]
  manipulation of many-body systems often involves time-dependent forces that cause unwanted heating. For quantum spin systems with bounded spectra, it was shown rigorously that the heating rate is exponentially small in the driving frequency. Emergence of heating has also been observed in an experiment with ultracold atoms, realizing a periodically driven Bose-Hubbard model.
  arXiv  Detail & Related papers  (2020-05-14T18:00:06Z)

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.