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We derive a prediction of dynamical tunneling rates from regular to chaotic phase-space regions combining the direct regular-to-chaotic tunneling mechanism in the quantum regime with an improved resonance-assisted tunneling theory in the…

Chaotic Dynamics · Physics 2010-03-18 Steffen Löck , Arnd Bäcker , Roland Ketzmerick , Peter Schlagheck

We investigate numerically the tunneling effect under influence of another particle in a double well system. Such influence from only one degree of freedom makes decoherence and quantum-classical transition, i.e., suppression of the…

Quantum Physics · Physics 2007-05-23 Quanlin Jie , Bambi Hu , Guangjong Dong

Ab initio simulations that account for nuclear quantum effects have been used to examine the order-disorder transition in squaric acid, a prototypical H-bonded antiferroelectric crystal. Our simulations reproduce the >100 K difference in…

Materials Science · Physics 2015-06-18 K. T. Wikfeldt , A. Michaelides

We calculate the quantum tunneling rate of a ferromagnetic particle of $\sim 100 \AA$ diameter in a magnetic field of arbitrary angle. We consider the magnetocrystalline anisotropy with the biaxial symmetry and that with the tetragonal…

Soft Condensed Matter · Physics 2009-10-30 Gwang-Hee Kim , Dae Sung Hwang

Tunnel ionization belongs to the fundamental processes of atomic physics. The so-called two-step model, which describes the ionization as instantaneous tunneling at the electric field maximum and classical motion afterwards with zero exit…

Quantum Physics · Physics 2016-02-17 Nicolas Teeny , Enderalp Yakaboylu , Heiko Bauke , Christoph H. Keitel

We study the dynamics of multi-dimensional quantum tunneling by introducing a complex absorbing potential to a two-dimensional model for spontaneous fission. We fist diagonalize the Hamiltonian with the complex potential to determine a…

Nuclear Theory · Physics 2015-06-23 Guillaume Scamps , Kouichi Hagino

Using machine learning (ML) to recognize different phases of matter and to infer the entire phase diagram has proven to be an effective tool given a large dataset. In our previous proposals, we have successfully explored phase transitions…

Statistical Mechanics · Physics 2023-07-12 Ming-Chiang Chung , Guang-Yu Huang , Ian P. McCulloch , Yuan-Hong Tsai

In simple ferromagnetic quantum Ising models characterized by an effective double-well energy landscape the characteristic tunneling time of path-integral Monte Carlo (PIMC) simulations has been shown to scale as the incoherent…

Statistical Mechanics · Physics 2018-03-13 E. M. Inack , G. Giudici , T. Parolini , G. Santoro , S. Pilati

Quantum computers are the promising candidates for simulation of large quantum systems, which is a daunting task to perform in a classical computer. Here, we report the experimental realization of quantum tunneling of a single particle…

Resonant tunneling through identical potential barriers is a textbook problem in quantum mechanics. Its solution yields total transparency (100% tunneling) at discrete energies. This dramatic phenomenon results from coherent interference…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Daniel Rohrlich , Oren Zarchin , Moty Heiblum , Diana Mahalu , Vladimir Umansky

Quantum tunneling from a thin wire or a thin film through a static potential barrier in a zero magnetic field is studied. The wire or the film should satisfy a condition of transverse quantization of levels and be inhomogeneous. Depending…

Quantum Physics · Physics 2008-06-11 B. Ivlev

Although machine-learning potentials have recently had substantial impact on molecular simulations, the construction of a robust training set can still become a limiting factor, especially due to the requirement of a reference ab initio…

Chemical Physics · Physics 2023-03-29 Krystof Brezina , Hubert Beck , Ondrej Marsalek

We study the crossing of the quantum phase transition in the transverse-field Ising model after modulating the magnetic field at an arbitrary rate, exploring the critical dynamics from the slow to the sudden quench regime. We do so by…

Statistical Mechanics · Physics 2025-05-05 András Grabarits , Federico Balducci , Adolfo del Campo

This work establishes a firm relationship between classical nonlinear resonances and the phenomenon of dynamical tunneling. It is shown that the classical phase space with its hierarchy of resonance islands completely characterizes…

Chaotic Dynamics · Physics 2007-07-31 Srihari Keshavamurthy

In the design phase of an electrical machine, finite element (FE) simulation are commonly used to numerically optimize the performance. The output of the magneto-static FE simulation characterizes the electromagnetic behavior of the…

Machine Learning · Computer Science 2022-11-01 Vivek Parekh , Dominik Flore , Sebastian Schöps

The computational power of real-world quantum computers is limited by errors. When using quantum computers to perform algorithms which cannot be efficiently simulated classically, it is important to quantify the accuracy with which the…

Quantum Physics · Physics 2024-01-18 Avi Vadali , Rutuja Kshirsagar , Prasanth Shyamsundar , Gabriel N. Perdue

Quantum tunneling is a quantum phenomenon in which a microscopic object crosses through a potential barrier even if its energy cannot overcome the barrier. A general belief is that tunneling occurs only when the barrier width is comparable…

Quantum Physics · Physics 2025-01-07 Yuan-Xing Yang , Si-Yuan Bai , Jun-Hong An

We generalize the string method, originally designed for the study of thermally activated rare events, to the calculation of quantum tunneling rates. This generalization is based on the analogy between quantum mechanics and statistical…

Statistical Mechanics · Physics 2007-05-23 Tiezheng Qian , Weiqing Ren , Jing Shi , Weinan E , Ping Sheng

Using the phenomenological quantum friction models introduced by Caldirola-Kanai, Kostin, and Albrecht, we study quantum tunneling of a one-dimensional potential in the presence of energy dissipation. To this end, we calculate the tunneling…

Nuclear Theory · Physics 2017-05-10 M. Tokieda , K. Hagino

It is well-known that the quantum tunneling makes conventional perturbation series non-Borel summable. We use this fact reversely and attempt to extract the decay width of the false-vacuum from the actual perturbation series of the vacuum…

High Energy Physics - Theory · Physics 2007-05-23 Hiroshi Suzuki , Hirofumi Yasuta